+++ /dev/null
-/*
- * Copyright (c) 2003, the JUNG Project and the Regents of the University
- * of California
- * All rights reserved.
- *
- * This software is open-source under the BSD license; see either
- * "license.txt" or
- * http://jung.sourceforge.net/license.txt for a description.
- */
-/*
- * Created on Apr 21, 2004
- */
-package edu.uci.ics.jung.algorithms.transformation;
-
-import java.util.ArrayList;
-import java.util.Collection;
-
-import org.apache.commons.collections15.Factory;
-import org.apache.commons.collections15.Predicate;
-
-import edu.uci.ics.jung.graph.Graph;
-import edu.uci.ics.jung.graph.Hypergraph;
-import edu.uci.ics.jung.graph.KPartiteGraph;
-
-/**
- * Methods for creating a "folded" graph based on a k-partite graph or a
- * hypergraph.
- *
- * <p>A "folded" graph is derived from a k-partite graph by identifying
- * a partition of vertices which will become the vertices of the new graph, copying
- * these vertices into the new graph, and then connecting those vertices whose
- * original analogues were connected indirectly through elements
- * of other partitions.</p>
- *
- * <p>A "folded" graph is derived from a hypergraph by creating vertices based on
- * either the vertices or the hyperedges of the original graph, and connecting
- * vertices in the new graph if their corresponding vertices/hyperedges share a
- * connection with a common hyperedge/vertex.</p>
- *
- * @author Danyel Fisher
- * @author Joshua O'Madadhain
- */
-public class FoldingTransformer<V,E>
-{
-
- /**
- * Converts <code>g</code> into a unipartite graph whose vertex set is the
- * vertices of <code>g</code>'s partition <code>p</code>. For vertices
- * <code>a</code> and <code>b</code> in this partition, the resultant
- * graph will include the edge <code>(a,b)</code> if the original graph
- * contains edges <code>(a,c)</code> and <code>(c,b)</code> for at least
- * one vertex <code>c</code>.
- *
- * <p>The vertices of the new graph are the same as the vertices of the
- * appropriate partition in the old graph; the edges in the new graph are
- * created by the input edge <code>Factory</code>.</p>
- *
- * <p>If there is more than 1 such vertex <code>c</code> for a given pair
- * <code>(a,b)</code>, the type of the output graph will determine whether
- * it will contain parallel edges or not.</p>
- *
- * <p>This function will not create self-loops.</p>
- *
- * @param <V> vertex type
- * @param <E> input edge type
- * @param g input k-partite graph
- * @param p predicate specifying vertex partition
- * @param graph_factory factory used to create the output graph
- * @param edge_factory factory used to create the edges in the new graph
- * @return a copy of the input graph folded with respect to the input partition
- */
- public static <V,E> Graph<V,E> foldKPartiteGraph(KPartiteGraph<V,E> g, Predicate<V> p,
- Factory<Graph<V,E>> graph_factory, Factory<E> edge_factory)
- {
- Graph<V,E> newGraph = graph_factory.create();
-
- // get vertices for the specified partition
- Collection<V> vertices = g.getVertices(p);
- for (V v : vertices)
- {
- newGraph.addVertex(v);
- for (V s : g.getSuccessors(v))
- {
- for (V t : g.getSuccessors(s))
- {
- if (!vertices.contains(t) || t.equals(v))
- continue;
- newGraph.addVertex(t);
- newGraph.addEdge(edge_factory.create(), v, t);
- }
- }
- }
- return newGraph;
- }
-
- /**
- * Converts <code>g</code> into a unipartite graph whose vertices are the
- * vertices of <code>g</code>'s partition <code>p</code>, and whose edges
- * consist of collections of the intermediate vertices from other partitions.
- * For vertices
- * <code>a</code> and <code>b</code> in this partition, the resultant
- * graph will include the edge <code>(a,b)</code> if the original graph
- * contains edges <code>(a,c)</code> and <code>(c,b)</code> for at least
- * one vertex <code>c</code>.
- *
- * <p>The vertices of the new graph are the same as the vertices of the
- * appropriate partition in the old graph; the edges in the new graph are
- * collections of the intermediate vertices <code>c</code>.</p>
- *
- * <p>This function will not create self-loops.</p>
- *
- * @param <V> vertex type
- * @param <E> input edge type
- * @param g input k-partite graph
- * @param p predicate specifying vertex partition
- * @param graph_factory factory used to create the output graph
- * @return the result of folding g into unipartite graph whose vertices
- * are those of the <code>p</code> partition of g
- */
- public static <V,E> Graph<V, Collection<V>> foldKPartiteGraph(KPartiteGraph<V,E> g, Predicate<V> p,
- Factory<Graph<V, Collection<V>>> graph_factory)
- {
- Graph<V, Collection<V>> newGraph = graph_factory.create();
-
- // get vertices for the specified partition, copy into new graph
- Collection<V> vertices = g.getVertices(p);
-
- for (V v : vertices)
- {
- newGraph.addVertex(v);
- for (V s : g.getSuccessors(v))
- {
- for (V t : g.getSuccessors(s))
- {
- if (!vertices.contains(t) || t.equals(v))
- continue;
- newGraph.addVertex(t);
- Collection<V> v_coll = newGraph.findEdge(v, t);
- if (v_coll == null)
- {
- v_coll = new ArrayList<V>();
- newGraph.addEdge(v_coll, v, t);
- }
- v_coll.add(s);
- }
- }
- }
- return newGraph;
- }
-
- /**
- * Creates a <code>Graph</code> which is an edge-folded version of <code>h</code>, where
- * hyperedges are replaced by k-cliques in the output graph.
- *
- * <p>The vertices of the new graph are the same objects as the vertices of
- * <code>h</code>, and <code>a</code>
- * is connected to <code>b</code> in the new graph if the corresponding vertices
- * in <code>h</code> are connected by a hyperedge. Thus, each hyperedge with
- * <i>k</i> vertices in <code>h</code> induces a <i>k</i>-clique in the new graph.</p>
- *
- * <p>The edges of the new graph consist of collections of each hyperedge that connected
- * the corresponding vertex pair in the original graph.</p>
- *
- * @param <V> vertex type
- * @param <E> input edge type
- * @param h hypergraph to be folded
- * @param graph_factory factory used to generate the output graph
- * @return a copy of the input graph where hyperedges are replaced by cliques
- */
- public static <V,E> Graph<V, Collection<E>> foldHypergraphEdges(Hypergraph<V,E> h,
- Factory<Graph<V, Collection<E>>> graph_factory)
- {
- Graph<V, Collection<E>> target = graph_factory.create();
-
- for (V v : h.getVertices())
- target.addVertex(v);
-
- for (E e : h.getEdges())
- {
- ArrayList<V> incident = new ArrayList<V>(h.getIncidentVertices(e));
- populateTarget(target, e, incident);
- }
- return target;
- }
-
-
- /**
- * Creates a <code>Graph</code> which is an edge-folded version of <code>h</code>, where
- * hyperedges are replaced by k-cliques in the output graph.
- *
- * <p>The vertices of the new graph are the same objects as the vertices of
- * <code>h</code>, and <code>a</code>
- * is connected to <code>b</code> in the new graph if the corresponding vertices
- * in <code>h</code> are connected by a hyperedge. Thus, each hyperedge with
- * <i>k</i> vertices in <code>h</code> induces a <i>k</i>-clique in the new graph.</p>
- *
- * <p>The edges of the new graph are generated by the specified edge factory.</p>
- *
- * @param <V> vertex type
- * @param <E> input edge type
- * @param h hypergraph to be folded
- * @param graph_factory factory used to generate the output graph
- * @param edge_factory factory used to create the new edges
- * @return a copy of the input graph where hyperedges are replaced by cliques
- */
- public static <V,E> Graph<V,E> foldHypergraphEdges(Hypergraph<V,E> h,
- Factory<Graph<V,E>> graph_factory, Factory<E> edge_factory)
- {
- Graph<V,E> target = graph_factory.create();
-
- for (V v : h.getVertices())
- target.addVertex(v);
-
- for (E e : h.getEdges())
- {
- ArrayList<V> incident = new ArrayList<V>(h.getIncidentVertices(e));
- for (int i = 0; i < incident.size(); i++)
- for (int j = i+1; j < incident.size(); j++)
- target.addEdge(edge_factory.create(), incident.get(i), incident.get(j));
- }
- return target;
- }
-
- /**
- * Creates a <code>Graph</code> which is a vertex-folded version of <code>h</code>, whose
- * vertices are the input's hyperedges and whose edges are induced by adjacent hyperedges
- * in the input.
- *
- * <p>The vertices of the new graph are the same objects as the hyperedges of
- * <code>h</code>, and <code>a</code>
- * is connected to <code>b</code> in the new graph if the corresponding edges
- * in <code>h</code> have a vertex in common. Thus, each vertex incident to
- * <i>k</i> edges in <code>h</code> induces a <i>k</i>-clique in the new graph.</p>
- *
- * <p>The edges of the new graph are created by the specified factory.</p>
- *
- * @param <V> vertex type
- * @param <E> input edge type
- * @param <F> output edge type
- * @param h hypergraph to be folded
- * @param graph_factory factory used to generate the output graph
- * @param edge_factory factory used to generate the output edges
- * @return a transformation of the input graph whose vertices correspond to the input's hyperedges
- * and edges are induced by hyperedges sharing vertices in the input
- */
- public static <V,E,F> Graph<E,F> foldHypergraphVertices(Hypergraph<V,E> h,
- Factory<Graph<E,F>> graph_factory, Factory<F> edge_factory)
- {
- Graph<E,F> target = graph_factory.create();
-
- for (E e : h.getEdges())
- target.addVertex(e);
-
- for (V v : h.getVertices())
- {
- ArrayList<E> incident = new ArrayList<E>(h.getIncidentEdges(v));
- for (int i = 0; i < incident.size(); i++)
- for (int j = i+1; j < incident.size(); j++)
- target.addEdge(edge_factory.create(), incident.get(i), incident.get(j));
- }
-
- return target;
- }
-
- /**
- * Creates a <code>Graph</code> which is a vertex-folded version of <code>h</code>, whose
- * vertices are the input's hyperedges and whose edges are induced by adjacent hyperedges
- * in the input.
- *
- * <p>The vertices of the new graph are the same objects as the hyperedges of
- * <code>h</code>, and <code>a</code>
- * is connected to <code>b</code> in the new graph if the corresponding edges
- * in <code>h</code> have a vertex in common. Thus, each vertex incident to
- * <i>k</i> edges in <code>h</code> induces a <i>k</i>-clique in the new graph.</p>
- *
- * <p>The edges of the new graph consist of collections of each vertex incident to
- * the corresponding hyperedge pair in the original graph.</p>
- *
- * @param h hypergraph to be folded
- * @param graph_factory factory used to generate the output graph
- * @return a transformation of the input graph whose vertices correspond to the input's hyperedges
- * and edges are induced by hyperedges sharing vertices in the input
- */
- public Graph<E,Collection<V>> foldHypergraphVertices(Hypergraph<V,E> h,
- Factory<Graph<E,Collection<V>>> graph_factory)
- {
- Graph<E,Collection<V>> target = graph_factory.create();
-
- for (E e : h.getEdges())
- target.addVertex(e);
-
- for (V v : h.getVertices())
- {
- ArrayList<E> incident = new ArrayList<E>(h.getIncidentEdges(v));
- populateTarget(target, v, incident);
- }
- return target;
- }
-
- /**
- * @param target
- * @param e
- * @param incident
- */
- private static <S,T> void populateTarget(Graph<S, Collection<T>> target, T e,
- ArrayList<S> incident)
- {
- for (int i = 0; i < incident.size(); i++)
- {
- S v1 = incident.get(i);
- for (int j = i+1; j < incident.size(); j++)
- {
- S v2 = incident.get(j);
- Collection<T> e_coll = target.findEdge(v1, v2);
- if (e_coll == null)
- {
- e_coll = new ArrayList<T>();
- target.addEdge(e_coll, v1, v2);
- }
- e_coll.add(e);
- }
- }
- }
-
-}
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