Class OrderedKAryTree<V,​E>

  • All Implemented Interfaces:
    DirectedGraph<V,​E>, Forest<V,​E>, Graph<V,​E>, Hypergraph<V,​E>, Tree<V,​E>, java.io.Serializable

    public class OrderedKAryTree<V,​E>
    extends AbstractTypedGraph<V,​E>
    implements Tree<V,​E>
    An implementation of Tree in which each vertex has ≤ k children. The value of 'k' is specified by the constructor parameter. A specific child (edge) can be retrieved directly by specifying the index at which the child is located. By default, new (child) vertices are added at the lowest index available, if no index is specified.
    See Also:
    Serialized Form
    • Constructor Summary

      Constructors 
      Constructor Description
      OrderedKAryTree​(int order)
      Creates a new instance with the specified order (maximum number of children).
    • Method Summary

      All Methods Static Methods Instance Methods Concrete Methods 
      Modifier and Type Method Description
      boolean addEdge​(E edge, Pair<? extends V> endpoints, EdgeType edgeType)
      Adds edge to this graph with the specified endpoints and EdgeType.
      boolean addEdge​(E edge, java.util.Collection<? extends V> vertices, EdgeType edge_type)
      Adds edge to this graph with type edge_type.
      boolean addEdge​(E e, V parent, V child)
      Adds edge e to this graph such that it connects vertex v1 to v2.
      boolean addEdge​(E e, V parent, V child, int index)
      Adds the specified child vertex and edge e to the graph with the specified parent vertex parent.
      boolean addEdge​(E e, V v1, V v2, EdgeType edge_type)
      Adds edge e to this graph such that it connects vertex v1 to v2.
      boolean addVertex​(V vertex)
      Adds vertex to this graph.
      boolean containsEdge​(E edge)
      Returns true if this graph's edge collection contains edge.
      boolean containsVertex​(V vertex)
      Returns true if this graph's vertex collection contains vertex.
      E findEdge​(V v1, V v2)
      Returns an edge that connects this vertex to v.
      java.util.Collection<E> findEdgeSet​(V v1, V v2)
      Returns all edges that connects this vertex to v.
      V getChild​(V vertex, int index)
      Returns the child of vertex at position index in this tree, or null if it has no child at that position.
      int getChildCount​(V vertex)
      Returns the number of children that vertex has in this tree.
      E getChildEdge​(V vertex, int index)  
      java.util.Collection<E> getChildEdges​(V vertex)
      Returns the edges connecting vertex to its children in this tree.
      java.util.Collection<V> getChildren​(V vertex)
      Returns an ordered list of vertex's child vertices.
      int getDepth​(V vertex)
      Returns the (unweighted) distance of vertex from the root of this tree.
      V getDest​(E directed_edge)
      If directed_edge is a directed edge in this graph, returns the destination; otherwise returns null.
      int getEdgeCount()
      Returns the number of edges in this graph.
      java.util.Collection<E> getEdges()
      Returns a view of all edges in this graph.
      Pair<V> getEndpoints​(E edge)
      Returns the endpoints of edge as a Pair.
      static <V,​E>
      com.google.common.base.Supplier<DirectedGraph<V,​E>>
      getFactory​(int order)  
      int getHeight()
      Returns the height of the tree, or -1 if the tree is empty.
      int getIncidentCount​(E edge)
      Returns the number of vertices that are incident to edge.
      java.util.Collection<E> getIncidentEdges​(V vertex)
      Returns the collection of edges in this graph which are connected to vertex.
      java.util.Collection<V> getIncidentVertices​(E edge)
      Returns the collection of vertices in this graph which are connected to edge.
      java.util.Collection<E> getInEdges​(V vertex)
      Returns a Collection view of the incoming edges incident to vertex in this graph.
      int getNeighborCount​(V vertex)
      Returns the number of vertices that are adjacent to vertex (that is, the number of vertices that are incident to edges in vertex's incident edge set).
      java.util.Collection<V> getNeighbors​(V vertex)
      Returns the collection of vertices which are connected to vertex via any edges in this graph.
      V getOpposite​(V vertex, E edge)
      Returns the vertex at the other end of edge from vertex.
      java.util.Collection<E> getOutEdges​(V vertex)
      Returns a Collection view of the outgoing edges incident to vertex in this graph.
      V getParent​(V vertex)
      Returns the parent of vertex in this tree.
      E getParentEdge​(V vertex)
      Returns the edge connecting vertex to its parent in this tree.
      int getPredecessorCount​(V vertex)
      Returns the number of predecessors that vertex has in this graph.
      java.util.Collection<V> getPredecessors​(V vertex)
      Returns a Collection view of the predecessors of vertex in this graph.
      V getRoot()
      Returns the root of this tree.
      V getSource​(E directed_edge)
      If directed_edge is a directed edge in this graph, returns the source; otherwise returns null.
      int getSuccessorCount​(V vertex)
      Returns the number of successors that vertex has in this graph.
      java.util.Collection<V> getSuccessors​(V vertex)
      Returns a Collection view of the successors of vertex in this graph.
      java.util.Collection<Tree<V,​E>> getTrees()
      Returns a view of this graph as a collection of Tree instances.
      int getVertexCount()
      Returns the number of vertices in this graph.
      java.util.Collection<V> getVertices()
      Returns a view of all vertices in this graph.
      int inDegree​(V vertex)
      Returns the number of incoming edges incident to vertex.
      boolean isDest​(V vertex, E edge)
      Returns true if vertex is the destination of edge.
      boolean isIncident​(V vertex, E edge)
      Returns true if vertex and edge are incident to each other.
      boolean isLeaf​(V vertex)
      Returns true if vertex is a leaf of this tree, i.e., if it has no children.
      boolean isNeighbor​(V v1, V v2)
      Returns true if v1 and v2 share an incident edge.
      boolean isPredecessor​(V v1, V v2)
      Returns true iff v1 is the parent of v2.
      boolean isRoot​(V vertex)
      Returns true if vertex is a leaf of this tree, i.e., if it has no children.
      boolean isSource​(V vertex, E edge)
      Returns true if vertex is the source of edge.
      boolean isSuccessor​(V v1, V v2)
      Returns true if v1 is a successor of v2 in this graph.
      int outDegree​(V vertex)
      Returns the number of outgoing edges incident to vertex.
      boolean removeEdge​(E edge)
      Removes edge from this graph.
      boolean removeVertex​(V vertex)
      Removes vertex from this graph.
      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait
    • Field Detail

      • edge_vpairs

        protected java.util.Map<E,​Pair<V>> edge_vpairs
      • height

        protected int height
      • root

        protected V root
      • order

        protected int order
    • Constructor Detail

      • OrderedKAryTree

        public OrderedKAryTree​(int order)
        Creates a new instance with the specified order (maximum number of children).
        Parameters:
        order - the maximum number of children ("k") that any vertex can have
    • Method Detail

      • getFactory

        public static <V,​E> com.google.common.base.Supplier<DirectedGraph<V,​E>> getFactory​(int order)
        Type Parameters:
        V - the vertex type for the graph Supplier
        E - the edge type for the graph Supplier
        Parameters:
        order - the maximum number of children ("k") that any vertex can have
        Returns:
        a Supplier that creates an instance of this graph type.
      • getChildCount

        public int getChildCount​(V vertex)
        Description copied from interface: Forest
        Returns the number of children that vertex has in this tree. The children of a vertex are defined as being the successors of that vertex on the respective (unique) shortest paths from the root to those vertices. This is syntactic (maple) sugar for getSuccessorCount(vertex).
        Specified by:
        getChildCount in interface Forest<V,​E>
        Parameters:
        vertex - the vertex whose number of children is to be returned
        Returns:
        the number of children that vertex has
        See Also:
        Forest.getChildCount(java.lang.Object)
      • getChildEdge

        public E getChildEdge​(V vertex,
                              int index)
        Parameters:
        vertex - the vertex whose child edge is to be returned
        index - the index of the edge to be returned
        Returns:
        the child edge of vertex at index index, that is, its ith child edge.
      • getChildEdges

        public java.util.Collection<E> getChildEdges​(V vertex)
        Description copied from interface: Forest
        Returns the edges connecting vertex to its children in this tree. The children of a vertex are defined as being the successors of that vertex on the respective (unique) shortest paths from the root to those vertices. This is syntactic (maple) sugar for getOutEdges(vertex).
        Specified by:
        getChildEdges in interface Forest<V,​E>
        Parameters:
        vertex - the vertex whose child edges are to be returned
        Returns:
        the Collection of edges connecting vertex to its children in this tree
        See Also:
        Forest.getChildEdges(java.lang.Object)
      • getChildren

        public java.util.Collection<V> getChildren​(V vertex)
        Returns an ordered list of vertex's child vertices. If there is no child in position i, then the list will contain null in position i. If vertex has no children then the empty set will be returned.
        Specified by:
        getChildren in interface Forest<V,​E>
        Parameters:
        vertex - the vertex whose children are to be returned
        Returns:
        the Collection of children of vertex in this tree
        See Also:
        Forest.getChildren(java.lang.Object)
      • getDepth

        public int getDepth​(V vertex)
        Description copied from interface: Tree
        Returns the (unweighted) distance of vertex from the root of this tree.
        Specified by:
        getDepth in interface Tree<V,​E>
        Parameters:
        vertex - the vertex whose depth is to be returned.
        Returns:
        the depth of the vertex in this tree, or -1 if the vertex is not present in this tree
        See Also:
        Tree.getDepth(java.lang.Object)
      • getHeight

        public int getHeight()
        Returns the height of the tree, or -1 if the tree is empty.
        Specified by:
        getHeight in interface Tree<V,​E>
        Returns:
        the maximum depth in this tree
        See Also:
        Tree.getHeight()
      • getParent

        public V getParent​(V vertex)
        Description copied from interface: Forest
        Returns the parent of vertex in this tree. (If vertex is the root, returns null.) The parent of a vertex is defined as being its predecessor in the (unique) shortest path from the root to this vertex. This is a convenience method which is equivalent to Graph.getPredecessors(vertex).iterator().next().
        Specified by:
        getParent in interface Forest<V,​E>
        Parameters:
        vertex - the vertex whose parent is to be returned
        Returns:
        the parent of vertex in this tree
        See Also:
        Forest.getParent(java.lang.Object)
      • getParentEdge

        public E getParentEdge​(V vertex)
        Description copied from interface: Forest
        Returns the edge connecting vertex to its parent in this tree. (If vertex is the root, returns null.) The parent of a vertex is defined as being its predecessor in the (unique) shortest path from the root to this vertex. This is a convenience method which is equivalent to Graph.getInEdges(vertex).iterator().next(), and also to Graph.findEdge(vertex, getParent(vertex)).
        Specified by:
        getParentEdge in interface Forest<V,​E>
        Parameters:
        vertex - the vertex whose incoming edge is to be returned
        Returns:
        the edge connecting vertex to its parent, or null if vertex is the root
        See Also:
        Forest.getParentEdge(java.lang.Object)
      • getRoot

        public V getRoot()
        Description copied from interface: Tree
        Returns the root of this tree. The root is defined to be the vertex (designated either at the tree's creation time, or as the first vertex to be added) with respect to which vertex depth is measured.
        Specified by:
        getRoot in interface Tree<V,​E>
        Returns:
        the root of this tree
        See Also:
        Tree.getRoot()
      • getTrees

        public java.util.Collection<Tree<V,​E>> getTrees()
        Description copied from interface: Forest
        Returns a view of this graph as a collection of Tree instances.
        Specified by:
        getTrees in interface Forest<V,​E>
        Returns:
        a view of this graph as a collection of Trees
        See Also:
        Forest.getTrees()
      • addEdge

        public boolean addEdge​(E e,
                               V parent,
                               V child,
                               int index)
        Adds the specified child vertex and edge e to the graph with the specified parent vertex parent. If index is greater than or equal to 0, then the child is placed at position index; if it is less than 0, the child is placed at the lowest available position; if it is greater than or equal to the order of this tree, an exception is thrown.
        Parameters:
        e - the edge to add
        parent - the source of the edge to be added
        child - the destination of the edge to be added
        index - the position at which e is to be added as a child of parent
        Returns:
        true if the graph has been modified
        See Also:
        Graph.addEdge(java.lang.Object, java.lang.Object, java.lang.Object)
      • addEdge

        public boolean addEdge​(E e,
                               V parent,
                               V child)
        Description copied from interface: Graph
        Adds edge e to this graph such that it connects vertex v1 to v2. Equivalent to addEdge(e, new Pair(v1, v2)). If this graph does not contain v1, v2, or both, implementations may choose to either silently add the vertices to the graph or throw an IllegalArgumentException. If this graph assigns edge types to its edges, the edge type of e will be the default for this graph. See Hypergraph.addEdge() for a listing of possible reasons for failure.
        Specified by:
        addEdge in interface Graph<V,​E>
        Overrides:
        addEdge in class AbstractGraph<V,​E>
        Parameters:
        e - the edge to be added
        parent - the first vertex to be connected
        child - the second vertex to be connected
        Returns:
        true if the add is successful, false otherwise
        See Also:
        Graph.addEdge(java.lang.Object, java.lang.Object, java.lang.Object)
      • addEdge

        public boolean addEdge​(E e,
                               V v1,
                               V v2,
                               EdgeType edge_type)
        Description copied from interface: Graph
        Adds edge e to this graph such that it connects vertex v1 to v2. Equivalent to addEdge(e, new Pair(v1, v2)). If this graph does not contain v1, v2, or both, implementations may choose to either silently add the vertices to the graph or throw an IllegalArgumentException. If edgeType is not legal for this graph, this method will throw IllegalArgumentException. See Hypergraph.addEdge() for a listing of possible reasons for failure.
        Specified by:
        addEdge in interface Graph<V,​E>
        Overrides:
        addEdge in class AbstractGraph<V,​E>
        Parameters:
        e - the edge to be added
        v1 - the first vertex to be connected
        v2 - the second vertex to be connected
        edge_type - the type to be assigned to the edge
        Returns:
        true if the add is successful, false otherwise
        See Also:
        Graph.addEdge(java.lang.Object, java.lang.Object, java.lang.Object, edu.uci.ics.jung.graph.util.EdgeType)
      • getDest

        public V getDest​(E directed_edge)
        Description copied from interface: Graph
        If directed_edge is a directed edge in this graph, returns the destination; otherwise returns null. The destination of a directed edge d is defined to be the vertex incident to d for which d is an incoming edge. directed_edge is guaranteed to be a directed edge if its EdgeType is DIRECTED.
        Specified by:
        getDest in interface Graph<V,​E>
        Specified by:
        getDest in interface Hypergraph<V,​E>
        Parameters:
        directed_edge - the edge whose destination is to be returned
        Returns:
        the destination of directed_edge if it is a directed edge in this graph, or null otherwise
        See Also:
        Graph.getDest(java.lang.Object)
      • getEndpoints

        public Pair<V> getEndpoints​(E edge)
        Description copied from interface: Graph
        Returns the endpoints of edge as a Pair.
        Specified by:
        getEndpoints in interface Graph<V,​E>
        Parameters:
        edge - the edge whose endpoints are to be returned
        Returns:
        the endpoints (incident vertices) of edge
        See Also:
        Graph.getEndpoints(java.lang.Object)
      • getInEdges

        public java.util.Collection<E> getInEdges​(V vertex)
        Description copied from interface: Graph
        Returns a Collection view of the incoming edges incident to vertex in this graph.
        Specified by:
        getInEdges in interface Graph<V,​E>
        Specified by:
        getInEdges in interface Hypergraph<V,​E>
        Parameters:
        vertex - the vertex whose incoming edges are to be returned
        Returns:
        a Collection view of the incoming edges incident to vertex in this graph
        See Also:
        Graph.getInEdges(java.lang.Object)
      • getOpposite

        public V getOpposite​(V vertex,
                             E edge)
        Description copied from interface: Graph
        Returns the vertex at the other end of edge from vertex. (That is, returns the vertex incident to edge which is not vertex.)
        Specified by:
        getOpposite in interface Graph<V,​E>
        Overrides:
        getOpposite in class AbstractGraph<V,​E>
        Parameters:
        vertex - the vertex to be queried
        edge - the edge to be queried
        Returns:
        the vertex at the other end of edge from vertex
        See Also:
        Graph.getOpposite(java.lang.Object, java.lang.Object)
      • getOutEdges

        public java.util.Collection<E> getOutEdges​(V vertex)
        Description copied from interface: Graph
        Returns a Collection view of the outgoing edges incident to vertex in this graph.
        Specified by:
        getOutEdges in interface Graph<V,​E>
        Specified by:
        getOutEdges in interface Hypergraph<V,​E>
        Parameters:
        vertex - the vertex whose outgoing edges are to be returned
        Returns:
        a Collection view of the outgoing edges incident to vertex in this graph
        See Also:
        Graph.getOutEdges(java.lang.Object)
      • getPredecessorCount

        public int getPredecessorCount​(V vertex)
        Description copied from interface: Graph
        Returns the number of predecessors that vertex has in this graph. Equivalent to vertex.getPredecessors().size().
        Specified by:
        getPredecessorCount in interface Graph<V,​E>
        Overrides:
        getPredecessorCount in class AbstractGraph<V,​E>
        Parameters:
        vertex - the vertex whose predecessor count is to be returned
        Returns:
        0 if vertex is the root, -1 if the vertex is not an element of this tree, and 1 otherwise
        See Also:
        Graph.getPredecessorCount(java.lang.Object)
      • getPredecessors

        public java.util.Collection<V> getPredecessors​(V vertex)
        Description copied from interface: Graph
        Returns a Collection view of the predecessors of vertex in this graph. A predecessor of vertex is defined as a vertex v which is connected to vertex by an edge e, where e is an outgoing edge of v and an incoming edge of vertex.
        Specified by:
        getPredecessors in interface Graph<V,​E>
        Specified by:
        getPredecessors in interface Hypergraph<V,​E>
        Parameters:
        vertex - the vertex whose predecessors are to be returned
        Returns:
        a Collection view of the predecessors of vertex in this graph
        See Also:
        Graph.getPredecessors(java.lang.Object)
      • getSource

        public V getSource​(E directed_edge)
        Description copied from interface: Graph
        If directed_edge is a directed edge in this graph, returns the source; otherwise returns null. The source of a directed edge d is defined to be the vertex for which d is an outgoing edge. directed_edge is guaranteed to be a directed edge if its EdgeType is DIRECTED.
        Specified by:
        getSource in interface Graph<V,​E>
        Specified by:
        getSource in interface Hypergraph<V,​E>
        Parameters:
        directed_edge - the edge whose source is to be returned
        Returns:
        the source of directed_edge if it is a directed edge in this graph, or null otherwise
        See Also:
        Graph.getSource(java.lang.Object)
      • getSuccessorCount

        public int getSuccessorCount​(V vertex)
        Description copied from interface: Graph
        Returns the number of successors that vertex has in this graph. Equivalent to vertex.getSuccessors().size().
        Specified by:
        getSuccessorCount in interface Graph<V,​E>
        Overrides:
        getSuccessorCount in class AbstractGraph<V,​E>
        Parameters:
        vertex - the vertex whose successor count is to be returned
        Returns:
        the number of successors that vertex has in this graph
        See Also:
        Graph.getSuccessorCount(java.lang.Object)
      • getSuccessors

        public java.util.Collection<V> getSuccessors​(V vertex)
        Description copied from interface: Graph
        Returns a Collection view of the successors of vertex in this graph. A successor of vertex is defined as a vertex v which is connected to vertex by an edge e, where e is an incoming edge of v and an outgoing edge of vertex.
        Specified by:
        getSuccessors in interface Graph<V,​E>
        Specified by:
        getSuccessors in interface Hypergraph<V,​E>
        Parameters:
        vertex - the vertex whose predecessors are to be returned
        Returns:
        a Collection view of the successors of vertex in this graph
        See Also:
        Graph.getSuccessors(java.lang.Object)
      • inDegree

        public int inDegree​(V vertex)
        Description copied from interface: Graph
        Returns the number of incoming edges incident to vertex. Equivalent to getInEdges(vertex).size().
        Specified by:
        inDegree in interface Graph<V,​E>
        Specified by:
        inDegree in interface Hypergraph<V,​E>
        Overrides:
        inDegree in class AbstractGraph<V,​E>
        Parameters:
        vertex - the vertex whose indegree is to be calculated
        Returns:
        the number of incoming edges incident to vertex
        See Also:
        Graph.inDegree(java.lang.Object)
      • isDest

        public boolean isDest​(V vertex,
                              E edge)
        Description copied from interface: Graph
        Returns true if vertex is the destination of edge. Equivalent to getDest(edge).equals(vertex).
        Specified by:
        isDest in interface Graph<V,​E>
        Parameters:
        vertex - the vertex to be queried
        edge - the edge to be queried
        Returns:
        true iff vertex is the destination of edge
        See Also:
        Graph.isDest(java.lang.Object, java.lang.Object)
      • isLeaf

        public boolean isLeaf​(V vertex)
        Returns true if vertex is a leaf of this tree, i.e., if it has no children.
        Parameters:
        vertex - the vertex to be queried
        Returns:
        true if outDegree(vertex)==0
      • isRoot

        public boolean isRoot​(V vertex)
        Returns true if vertex is a leaf of this tree, i.e., if it has no children.
        Parameters:
        vertex - the vertex to be queried
        Returns:
        true if outDegree(vertex)==0
      • isSource

        public boolean isSource​(V vertex,
                                E edge)
        Description copied from interface: Graph
        Returns true if vertex is the source of edge. Equivalent to getSource(edge).equals(vertex).
        Specified by:
        isSource in interface Graph<V,​E>
        Parameters:
        vertex - the vertex to be queried
        edge - the edge to be queried
        Returns:
        true iff vertex is the source of edge
        See Also:
        Graph.isSource(java.lang.Object, java.lang.Object)
      • isSuccessor

        public boolean isSuccessor​(V v1,
                                   V v2)
        Description copied from interface: Graph
        Returns true if v1 is a successor of v2 in this graph. Equivalent to v1.getSuccessors().contains(v2).
        Specified by:
        isSuccessor in interface Graph<V,​E>
        Overrides:
        isSuccessor in class AbstractGraph<V,​E>
        Parameters:
        v1 - the first vertex to be queried
        v2 - the second vertex to be queried
        Returns:
        true if v1 is a successor of v2, and false otherwise.
        See Also:
        Graph.isSuccessor(java.lang.Object, java.lang.Object)
      • outDegree

        public int outDegree​(V vertex)
        Description copied from interface: Graph
        Returns the number of outgoing edges incident to vertex. Equivalent to getOutEdges(vertex).size().
        Specified by:
        outDegree in interface Graph<V,​E>
        Specified by:
        outDegree in interface Hypergraph<V,​E>
        Overrides:
        outDegree in class AbstractGraph<V,​E>
        Parameters:
        vertex - the vertex whose outdegree is to be calculated
        Returns:
        the number of outgoing edges incident to vertex
        See Also:
        Graph.outDegree(java.lang.Object)
      • addEdge

        public boolean addEdge​(E edge,
                               java.util.Collection<? extends V> vertices,
                               EdgeType edge_type)
        Description copied from interface: Hypergraph
        Adds edge to this graph with type edge_type. Fails under the following circumstances:
        • edge is already an element of the graph
        • either edge or vertices is null
        • vertices has the wrong number of vertices for the graph type
        • vertices are already connected by another edge in this graph, and this graph does not accept parallel edges
        • edge_type is not legal for this graph
        Specified by:
        addEdge in interface Hypergraph<V,​E>
        Overrides:
        addEdge in class AbstractGraph<V,​E>
        Parameters:
        edge - edge to add to this graph
        vertices - vertices which are to be connected by this edge
        edge_type - type of edge to add
        Returns:
        true if the add is successful, and false otherwise
        See Also:
        Hypergraph.addEdge(java.lang.Object, java.util.Collection)
      • addVertex

        public boolean addVertex​(V vertex)
        Description copied from interface: Hypergraph
        Adds vertex to this graph. Fails if vertex is null or already in the graph.
        Specified by:
        addVertex in interface Hypergraph<V,​E>
        Parameters:
        vertex - the vertex to add
        Returns:
        true if the add is successful, and false otherwise
        See Also:
        Hypergraph.addVertex(java.lang.Object)
      • containsEdge

        public boolean containsEdge​(E edge)
        Description copied from interface: Hypergraph
        Returns true if this graph's edge collection contains edge. Equivalent to getEdges().contains(edge).
        Specified by:
        containsEdge in interface Hypergraph<V,​E>
        Parameters:
        edge - the edge whose presence is being queried
        Returns:
        true iff this graph contains an edge edge
        See Also:
        Hypergraph.containsEdge(java.lang.Object)
      • containsVertex

        public boolean containsVertex​(V vertex)
        Description copied from interface: Hypergraph
        Returns true if this graph's vertex collection contains vertex. Equivalent to getVertices().contains(vertex).
        Specified by:
        containsVertex in interface Hypergraph<V,​E>
        Parameters:
        vertex - the vertex whose presence is being queried
        Returns:
        true iff this graph contains a vertex vertex
        See Also:
        Hypergraph.containsVertex(java.lang.Object)
      • findEdge

        public E findEdge​(V v1,
                          V v2)
        Description copied from interface: Hypergraph
        Returns an edge that connects this vertex to v. If this edge is not uniquely defined (that is, if the graph contains more than one edge connecting v1 to v2), any of these edges may be returned. findEdgeSet(v1, v2) may be used to return all such edges. Returns null if either of the following is true:
        • v2 is not connected to v1
        • either v1 or v2 are not present in this graph

        Note: for purposes of this method, v1 is only considered to be connected to v2 via a given directed edge e if v1 == e.getSource() && v2 == e.getDest() evaluates to true. (v1 and v2 are connected by an undirected edge u if u is incident to both v1 and v2.)

        Specified by:
        findEdge in interface Hypergraph<V,​E>
        Overrides:
        findEdge in class AbstractGraph<V,​E>
        Parameters:
        v1 - the first endpoint of the returned edge
        v2 - the second endpoint of the returned edge
        Returns:
        an edge that connects v1 to v2, or null if no such edge exists (or either vertex is not present)
        See Also:
        Hypergraph.findEdge(java.lang.Object, java.lang.Object)
      • findEdgeSet

        public java.util.Collection<E> findEdgeSet​(V v1,
                                                   V v2)
        Description copied from interface: Hypergraph
        Returns all edges that connects this vertex to v. If this edge is not uniquely defined (that is, if the graph contains more than one edge connecting v1 to v2), any of these edges may be returned. findEdgeSet(v1, v2) may be used to return all such edges. Returns null if v2 is not connected to v1.
        Returns an empty collection if either v1 or v2 are not present in this graph.

        Note: for purposes of this method, v1 is only considered to be connected to v2 via a given directed edge d if v1 == d.getSource() && v2 == d.getDest() evaluates to true. (v1 and v2 are connected by an undirected edge u if u is incident to both v1 and v2.)

        Specified by:
        findEdgeSet in interface Hypergraph<V,​E>
        Overrides:
        findEdgeSet in class AbstractGraph<V,​E>
        Parameters:
        v1 - the first endpoint of the returned edge set
        v2 - the second endpoint of the returned edge set
        Returns:
        a collection containing all edges that connect v1 to v2, or null if either vertex is not present
        See Also:
        Hypergraph.findEdgeSet(java.lang.Object, java.lang.Object)
      • getChild

        public V getChild​(V vertex,
                          int index)
        Returns the child of vertex at position index in this tree, or null if it has no child at that position.
        Parameters:
        vertex - the vertex to query
        index - the index of the child to return
        Returns:
        the child of vertex at position index in this tree, or null if it has no child at that position
        Throws:
        java.lang.ArrayIndexOutOfBoundsException - if index is not in the range [0, order-1]
      • getEdges

        public java.util.Collection<E> getEdges()
        Description copied from interface: Hypergraph
        Returns a view of all edges in this graph. In general, this obeys the Collection contract, and therefore makes no guarantees about the ordering of the vertices within the set.
        Specified by:
        getEdges in interface Hypergraph<V,​E>
        Returns:
        a Collection view of all edges in this graph
        See Also:
        Hypergraph.getEdges()
      • getIncidentCount

        public int getIncidentCount​(E edge)
        Description copied from interface: Hypergraph
        Returns the number of vertices that are incident to edge. For hyperedges, this can be any nonnegative integer; for edges this must be 2 (or 1 if self-loops are permitted).

        Equivalent to getIncidentVertices(edge).size().

        Specified by:
        getIncidentCount in interface Hypergraph<V,​E>
        Overrides:
        getIncidentCount in class AbstractGraph<V,​E>
        Parameters:
        edge - the edge whose incident vertex count is to be returned
        Returns:
        the number of vertices that are incident to edge.
        See Also:
        Hypergraph.getIncidentCount(java.lang.Object)
      • getIncidentEdges

        public java.util.Collection<E> getIncidentEdges​(V vertex)
        Description copied from interface: Hypergraph
        Returns the collection of edges in this graph which are connected to vertex.
        Specified by:
        getIncidentEdges in interface Hypergraph<V,​E>
        Parameters:
        vertex - the vertex whose incident edges are to be returned
        Returns:
        the collection of edges which are connected to vertex, or null if vertex is not present
        See Also:
        Hypergraph.getIncidentEdges(java.lang.Object)
      • getIncidentVertices

        public java.util.Collection<V> getIncidentVertices​(E edge)
        Description copied from interface: Hypergraph
        Returns the collection of vertices in this graph which are connected to edge. Note that for some graph types there are guarantees about the size of this collection (i.e., some graphs contain edges that have exactly two endpoints, which may or may not be distinct). Implementations for those graph types may provide alternate methods that provide more convenient access to the vertices.
        Specified by:
        getIncidentVertices in interface Hypergraph<V,​E>
        Overrides:
        getIncidentVertices in class AbstractGraph<V,​E>
        Parameters:
        edge - the edge whose incident vertices are to be returned
        Returns:
        the collection of vertices which are connected to edge, or null if edge is not present
        See Also:
        Hypergraph.getIncidentVertices(java.lang.Object)
      • getNeighborCount

        public int getNeighborCount​(V vertex)
        Description copied from interface: Hypergraph
        Returns the number of vertices that are adjacent to vertex (that is, the number of vertices that are incident to edges in vertex's incident edge set).

        Equivalent to getNeighbors(vertex).size().

        Specified by:
        getNeighborCount in interface Hypergraph<V,​E>
        Overrides:
        getNeighborCount in class AbstractGraph<V,​E>
        Parameters:
        vertex - the vertex whose neighbor count is to be returned
        Returns:
        the number of neighboring vertices
        See Also:
        Hypergraph.getNeighborCount(java.lang.Object)
      • getNeighbors

        public java.util.Collection<V> getNeighbors​(V vertex)
        Description copied from interface: Hypergraph
        Returns the collection of vertices which are connected to vertex via any edges in this graph. If vertex is connected to itself with a self-loop, then it will be included in the collection returned.
        Specified by:
        getNeighbors in interface Hypergraph<V,​E>
        Parameters:
        vertex - the vertex whose neighbors are to be returned
        Returns:
        the collection of vertices which are connected to vertex, or null if vertex is not present
        See Also:
        Hypergraph.getNeighbors(java.lang.Object)
      • getVertices

        public java.util.Collection<V> getVertices()
        Description copied from interface: Hypergraph
        Returns a view of all vertices in this graph. In general, this obeys the Collection contract, and therefore makes no guarantees about the ordering of the vertices within the set.
        Specified by:
        getVertices in interface Hypergraph<V,​E>
        Returns:
        a Collection view of all vertices in this graph
        See Also:
        Hypergraph.getVertices()
      • removeEdge

        public boolean removeEdge​(E edge)
        Description copied from interface: Hypergraph
        Removes edge from this graph. Fails if edge is null, or is otherwise not an element of this graph.
        Specified by:
        removeEdge in interface Hypergraph<V,​E>
        Parameters:
        edge - the edge to remove
        Returns:
        true if the removal is successful, false otherwise
        See Also:
        Hypergraph.removeEdge(java.lang.Object)
      • removeVertex

        public boolean removeVertex​(V vertex)
        Description copied from interface: Hypergraph
        Removes vertex from this graph. As a side effect, removes any edges e incident to vertex if the removal of vertex would cause e to be incident to an illegal number of vertices. (Thus, for example, incident hyperedges are not removed, but incident edges--which must be connected to a vertex at both endpoints--are removed.)

        Fails under the following circumstances:

        • vertex is not an element of this graph
        • vertex is null
        Specified by:
        removeVertex in interface Hypergraph<V,​E>
        Parameters:
        vertex - the vertex to remove
        Returns:
        true if the removal is successful, false otherwise
        See Also:
        Hypergraph.removeVertex(java.lang.Object)
      • addEdge

        public boolean addEdge​(E edge,
                               Pair<? extends V> endpoints,
                               EdgeType edgeType)
        Description copied from class: AbstractGraph
        Adds edge to this graph with the specified endpoints and EdgeType.
        Specified by:
        addEdge in class AbstractGraph<V,​E>
        Parameters:
        edge - the edge to be added
        endpoints - the endpoints to be connected to this edge
        edgeType - the type of edge to add
        Returns:
        true iff the graph was modified as a result of this call