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/*
 * (C) Copyright 2003-2023, by Barak Naveh, Dimitrios Michail and Contributors.
 *
 * JGraphT : a free Java graph-theory library
 *
 * See the CONTRIBUTORS.md file distributed with this work for additional
 * information regarding copyright ownership.
 *
 * This program and the accompanying materials are made available under the
 * terms of the Eclipse Public License 2.0 which is available at
 * http://www.eclipse.org/legal/epl-2.0, or the
 * GNU Lesser General Public License v2.1 or later
 * which is available at
 * http://www.gnu.org/licenses/old-licenses/lgpl-2.1-standalone.html.
 *
 * SPDX-License-Identifier: EPL-2.0 OR LGPL-2.1-or-later
 */
package org.jgrapht;

import org.jgrapht.alg.connectivity.*;
import org.jgrapht.alg.cycle.*;
import org.jgrapht.alg.interfaces.*;
import org.jgrapht.alg.partition.*;
import org.jgrapht.alg.planar.*;

import java.util.*;
import java.util.stream.*;

/**
 * A collection of utilities to test for various graph properties.
 * 
 * @author Barak Naveh
 * @author Dimitrios Michail
 * @author Joris Kinable
 * @author Alexandru Valeanu
 */
public abstract class GraphTests
{
    private static final String GRAPH_CANNOT_BE_NULL = "Graph cannot be null";
    private static final String GRAPH_MUST_BE_DIRECTED_OR_UNDIRECTED =
        "Graph must be directed or undirected";
    private static final String GRAPH_MUST_BE_UNDIRECTED = "Graph must be undirected";
    private static final String GRAPH_MUST_BE_DIRECTED = "Graph must be directed";
    private static final String GRAPH_MUST_BE_WEIGHTED = "Graph must be weighted";

    /**
     * Test whether a graph is empty. An empty graph on n nodes consists of n isolated vertices with
     * no edges.
     * 
     * @param graph the input graph
     * @param  the graph vertex type
     * @param  the graph edge type
     * @return true if the graph is empty, false otherwise
     */
    public static  boolean isEmpty(Graph graph)
    {
        Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL);
        return graph.edgeSet().isEmpty();
    }

    /**
     * Check if a graph is simple. A graph is simple if it has no self-loops and multiple (parallel)
     * edges.
     * 
     * @param graph a graph
     * @param  the graph vertex type
     * @param  the graph edge type
     * @return true if a graph is simple, false otherwise
     */
    public static  boolean isSimple(Graph graph)
    {
        Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL);

        GraphType type = graph.getType();
        if (type.isSimple()) {
            return true;
        }

        // no luck, we have to check
        for (V v : graph.vertexSet()) {
            Set neighbors = new HashSet<>();
            for (E e : graph.outgoingEdgesOf(v)) {
                V u = Graphs.getOppositeVertex(graph, e, v);
                if (u.equals(v) || !neighbors.add(u)) {
                    return false;
                }
            }
        }

        return true;
    }

    /**
     * Check if a graph has self-loops. A self-loop is an edge with the same source and target
     * vertices.
     * 
     * @param graph a graph
     * @param  the graph vertex type
     * @param  the graph edge type
     * @return true if a graph has self-loops, false otherwise
     */
    public static  boolean hasSelfLoops(Graph graph)
    {
        Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL);

        if (!graph.getType().isAllowingSelfLoops()) {
            return false;
        }

        // no luck, we have to check
        for (E e : graph.edgeSet()) {
            if (graph.getEdgeSource(e).equals(graph.getEdgeTarget(e))) {
                return true;
            }
        }
        return false;
    }

    /**
     * Check if a graph has multiple edges (parallel edges), that is, whether the graph contains two
     * or more edges connecting the same pair of vertices.
     * 
     * @param graph a graph
     * @param  the graph vertex type
     * @param  the graph edge type
     * @return true if a graph has multiple edges, false otherwise
     */
    public static  boolean hasMultipleEdges(Graph graph)
    {
        Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL);

        if (!graph.getType().isAllowingMultipleEdges()) {
            return false;
        }

        // no luck, we have to check
        for (V v : graph.vertexSet()) {
            Set neighbors = new HashSet<>();
            for (E e : graph.outgoingEdgesOf(v)) {
                V u = Graphs.getOppositeVertex(graph, e, v);
                if (!neighbors.add(u)) {
                    return true;
                }
            }
        }
        return false;
    }

    /**
     * Test whether a graph is complete. A complete undirected graph is a simple graph in which
     * every pair of distinct vertices is connected by a unique edge. A complete directed graph is a
     * directed graph in which every pair of distinct vertices is connected by a pair of unique
     * edges (one in each direction).
     * 
     * @param graph the input graph
     * @param  the graph vertex type
     * @param  the graph edge type
     * @return true if the graph is complete, false otherwise
     */
    public static  boolean isComplete(Graph graph)
    {
        Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL);
        int n = graph.vertexSet().size();
        int allEdges;
        if (graph.getType().isDirected()) {
            allEdges = Math.multiplyExact(n, n - 1);
        } else if (graph.getType().isUndirected()) {
            if (n % 2 == 0) {
                allEdges = Math.multiplyExact(n / 2, n - 1);
            } else {
                allEdges = Math.multiplyExact(n, (n - 1) / 2);
            }
        } else {
            throw new IllegalArgumentException(GRAPH_MUST_BE_DIRECTED_OR_UNDIRECTED);
        }
        return graph.edgeSet().size() == allEdges && isSimple(graph);
    }

    /**
     * Test if the inspected graph is connected. A graph is connected when, while ignoring edge
     * directionality, there exists a path between every pair of vertices. In a connected graph,
     * there are no unreachable vertices. When the inspected graph is a directed graph, this
     * method returns true if and only if the inspected graph is weakly connected. An empty
     * graph is not considered connected.
     * 
     * 

* This method does not performing any caching, instead recomputes everything from scratch. In * case more control is required use {@link ConnectivityInspector} directly. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is connected, false otherwise * @see ConnectivityInspector */ public static boolean isConnected(Graph graph) { Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL); return new ConnectivityInspector<>(graph).isConnected(); } /** * Tests if the inspected graph is biconnected. A biconnected graph is a connected graph on two * or more vertices having no cutpoints. * *

* This method does not performing any caching, instead recomputes everything from scratch. In * case more control is required use * {@link org.jgrapht.alg.connectivity.BiconnectivityInspector} directly. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is biconnected, false otherwise * @see org.jgrapht.alg.connectivity.BiconnectivityInspector */ public static boolean isBiconnected(Graph graph) { Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL); return new BiconnectivityInspector<>(graph).isBiconnected(); } /** * Test whether a directed graph is weakly connected. * *

* This method does not performing any caching, instead recomputes everything from scratch. In * case more control is required use {@link ConnectivityInspector} directly. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is weakly connected, false otherwise * @see ConnectivityInspector */ public static boolean isWeaklyConnected(Graph graph) { return isConnected(graph); } /** * Test whether a graph is strongly connected. * *

* This method does not performing any caching, instead recomputes everything from scratch. In * case more control is required use {@link KosarajuStrongConnectivityInspector} directly. * *

* In case of undirected graphs this method delegated to {@link #isConnected(Graph)}. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is strongly connected, false otherwise * @see KosarajuStrongConnectivityInspector */ public static boolean isStronglyConnected(Graph graph) { Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL); if (graph.getType().isUndirected()) { return isConnected(graph); } else { return new KosarajuStrongConnectivityInspector<>(graph).isStronglyConnected(); } } /** * Test whether an undirected graph is a tree. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is tree, false otherwise */ public static boolean isTree(Graph graph) { if (!graph.getType().isUndirected()) { throw new IllegalArgumentException(GRAPH_MUST_BE_UNDIRECTED); } return (graph.edgeSet().size() == (graph.vertexSet().size() - 1)) && isConnected(graph); } /** * Test whether an undirected graph is a forest. A forest is a set of disjoint trees. By * definition, any acyclic graph is a forest. This includes the empty graph and the class of * tree graphs. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is forest, false otherwise */ public static boolean isForest(Graph graph) { if (!graph.getType().isUndirected()) { throw new IllegalArgumentException(GRAPH_MUST_BE_UNDIRECTED); } if (graph.vertexSet().isEmpty()) // null graph is not a forest return false; int nrConnectedComponents = new ConnectivityInspector<>(graph).connectedSets().size(); return graph.edgeSet().size() + nrConnectedComponents == graph.vertexSet().size(); } /** * Test whether a graph is overfull. * A graph is overfull if $|E|>\Delta(G)\lfloor |V|/2 \rfloor$, where $\Delta(G)$ is the * maximum degree of the graph. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is overfull, false otherwise */ public static boolean isOverfull(Graph graph) { int maxDegree = graph.vertexSet().stream().mapToInt(graph::degreeOf).max().getAsInt(); return graph.edgeSet().size() > maxDegree * Math.floor(graph.vertexSet().size() / 2.0); } /** * Test whether an undirected graph is a * split graph. A split graph is a graph * in which the vertices can be partitioned into a clique and an independent set. Split graphs * are a special class of chordal graphs. Given the degree sequence $d_1 \geq,\dots,\geq d_n$ of * $G$, a graph is a split graph if and only if : \[\sum_{i=1}^m d_i = m (m - 1) + \sum_{i=m + * 1}^nd_i\], where $m = \max_i \{d_i\geq i-1\}$. If the graph is a split graph, then the $m$ * vertices with the largest degrees form a maximum clique in $G$, and the remaining vertices * constitute an independent set. See Brandstadt, A., Le, V., Spinrad, J. Graph Classes: A * Survey. Philadelphia, PA: SIAM, 1999. for details. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is a split graph, false otherwise */ public static boolean isSplit(Graph graph) { requireUndirected(graph); if (!isSimple(graph) || graph.vertexSet().isEmpty()) return false; List degrees = new ArrayList<>(graph.vertexSet().size()); degrees .addAll(graph.vertexSet().stream().map(graph::degreeOf).collect(Collectors.toList())); Collections.sort(degrees, Collections.reverseOrder()); // sort degrees descending order // Find m = \max_i \{d_i\geq i-1\} int m = 1; for (; m < degrees.size() && degrees.get(m) >= m; m++) { } m--; int left = 0; for (int i = 0; i <= m; i++) left += degrees.get(i); int right = m * (m + 1); for (int i = m + 1; i < degrees.size(); i++) right += degrees.get(i); return left == right; } /** * Test whether a graph is bipartite. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is bipartite, false otherwise * @see BipartitePartitioning#isBipartite() */ public static boolean isBipartite(Graph graph) { return new BipartitePartitioning<>(graph).isBipartite(); } /** * Test whether a partition of the vertices into two sets is a bipartite partition. * * @param graph the input graph * @param firstPartition the first vertices partition * @param secondPartition the second vertices partition * @return true if the partition is a bipartite partition, false otherwise * @param the graph vertex type * @param the graph edge type * @see BipartitePartitioning#isValidPartitioning(PartitioningAlgorithm.Partitioning) */ @SuppressWarnings("unchecked") public static boolean isBipartitePartition( Graph graph, Set firstPartition, Set secondPartition) { return new BipartitePartitioning<>(graph).isValidPartitioning( new PartitioningAlgorithm.PartitioningImpl<>( Arrays.asList((Set) firstPartition, (Set) secondPartition))); } /** * Tests whether a graph is cubic. A * graph is cubic if all vertices have degree 3. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is cubic, false otherwise */ public static boolean isCubic(Graph graph) { for (V v : graph.vertexSet()) if (graph.degreeOf(v) != 3) return false; return true; } /** * Test whether a graph is Eulerian. An undirected graph is Eulerian if it is connected and each * vertex has an even degree. A directed graph is Eulerian if it is strongly connected and each * vertex has the same incoming and outgoing degree. Test whether a graph is Eulerian. An * Eulerian graph is a graph * containing an Eulerian cycle. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * * @return true if the graph is Eulerian, false otherwise * @see HierholzerEulerianCycle#isEulerian(Graph) */ public static boolean isEulerian(Graph graph) { Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL); return new HierholzerEulerianCycle().isEulerian(graph); } /** * Checks whether a graph is chordal. A * chordal graph is one in which all cycles of four or more vertices have a chord, which is * an edge that is not part of the cycle but connects two vertices of the cycle. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is chordal, false otherwise * @see ChordalityInspector#isChordal() */ public static boolean isChordal(Graph graph) { Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL); return new ChordalityInspector<>(graph).isChordal(); } /** * Checks whether a graph is weakly * chordal. *

* The following definitions are equivalent: *

    *
  1. A graph is weakly chordal (weakly triangulated) if neither it nor its complement contains * a chordless cycles with five * or more vertices.
  2. *
  3. A 2-pair in a graph is a pair of non-adjacent vertices $x$, $y$ such that every chordless * path has exactly two edges. A graph is weakly chordal if every connected * induced subgraph $H$ that is not * a complete graph, contains a 2-pair.
  4. *
* * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is weakly chordal, false otherwise * @see WeakChordalityInspector#isWeaklyChordal() */ public static boolean isWeaklyChordal(Graph graph) { Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL); return new WeakChordalityInspector<>(graph).isWeaklyChordal(); } /** * Tests whether an undirected graph meets Ore's condition to be Hamiltonian. * * Let $G$ be a (finite and simple) graph with $n \geq 3$ vertices. We denote by $deg(v)$ the * degree of a vertex $v$ in $G$, i.e. the number of incident edges in $G$ to $v$. Then, Ore's * theorem states that if $deg(v) + deg(w) \geq n$ for every pair of distinct non-adjacent * vertices $v$ and $w$ of $G$, then $G$ is Hamiltonian. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph meets Ore's condition, false otherwise * @see org.jgrapht.alg.tour.PalmerHamiltonianCycle */ public static boolean hasOreProperty(Graph graph) { requireUndirected(graph); final int n = graph.vertexSet().size(); if (!graph.getType().isSimple() || n < 3) return false; List vertexList = new ArrayList<>(graph.vertexSet()); for (int i = 0; i < vertexList.size(); i++) { for (int j = i + 1; j < vertexList.size(); j++) { V v = vertexList.get(i); V w = vertexList.get(j); if (!v.equals(w) && !graph.containsEdge(v, w) && graph.degreeOf(v) + graph.degreeOf(w) < n) return false; } } return true; } /** * Tests whether an undirected graph is triangle-free (i.e. no three distinct vertices form a * triangle of edges). * * The implementation of this method uses {@link GraphMetrics#getNumberOfTriangles(Graph)}. * * @param graph the input graph * @param the graph vertex type * @param the graph edge type * @return true if the graph is triangle-free, false otherwise */ public static boolean isTriangleFree(Graph graph) { return GraphMetrics.getNumberOfTriangles(graph) == 0; } /** * Checks that the specified graph is perfect. Due to the Strong Perfect Graph Theorem Berge * Graphs are the same as perfect Graphs. The implementation of this method is delegated to * {@link org.jgrapht.alg.cycle.BergeGraphInspector} * * @param graph the graph reference to check for being perfect or not * @param the graph vertex type * @param the graph edge type * @return true if the graph is perfect, false otherwise */ public static boolean isPerfect(Graph graph) { Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL); return new BergeGraphInspector().isBerge(graph); } /** * Checks that the specified graph is planar. A graph is * planar if it can be drawn on a * two-dimensional plane without any of its edges crossing. The implementation of the method is * delegated to the {@link org.jgrapht.alg.planar.BoyerMyrvoldPlanarityInspector}. Also, use * this class to get a planar embedding of the graph in case it is planar, or a Kuratowski * subgraph as a certificate of nonplanarity. * * @param graph the graph to test planarity of * @param the graph vertex type * @param the graph edge type * @return true if the graph is planar, false otherwise * @see PlanarityTestingAlgorithm * @see BoyerMyrvoldPlanarityInspector */ public static boolean isPlanar(Graph graph) { Objects.requireNonNull(graph, GRAPH_CANNOT_BE_NULL); return new BoyerMyrvoldPlanarityInspector<>(graph).isPlanar(); } /** * Checks whether the {@code graph} is a Kuratowski * subdivision. Effectively checks whether the {@code graph} is a $K_{3,3}$ subdivision or * $K_{5}$ subdivision * * @param graph the graph to test * @param the graph vertex type * @param the graph edge type * @return true if the {@code graph} is a Kuratowski subdivision, false otherwise */ public static boolean isKuratowskiSubdivision(Graph graph) { return isK33Subdivision(graph) || isK5Subdivision(graph); } /** * Checks whether the {@code graph} is a $K_{3,3}$ subdivision. * * @param graph the graph to test * @param the graph vertex type * @param the graph edge type * @return true if the {@code graph} is a $K_{3,3}$ subdivision, false otherwise */ public static boolean isK33Subdivision(Graph graph) { List degree3 = new ArrayList<>(); // collect all vertices with degree 3 for (V vertex : graph.vertexSet()) { int degree = graph.degreeOf(vertex); if (degree == 3) { degree3.add(vertex); } else if (degree != 2) { return false; } } if (degree3.size() != 6) { return false; } V vertex = degree3.remove(degree3.size() - 1); Set reachable = reachableWithDegree(graph, vertex, 3); if (reachable.size() != 3) { return false; } degree3.removeAll(reachable); return reachable.equals(reachableWithDegree(graph, degree3.get(0), 3)) && reachable.equals(reachableWithDegree(graph, degree3.get(1), 3)); } /** * Checks whether the {@code graph} is a $K_5$ subdivision. * * @param graph the graph to test * @param the graph vertex type * @param the graph edge type * @return true if the {@code graph} is a $K_5$ subdivision, false otherwise */ public static boolean isK5Subdivision(Graph graph) { Set degree5 = new HashSet<>(); for (V vertex : graph.vertexSet()) { int degree = graph.degreeOf(vertex); if (degree == 4) { degree5.add(vertex); } else if (degree != 2) { return false; } } if (degree5.size() != 5) { return false; } for (V vertex : degree5) { Set reachable = reachableWithDegree(graph, vertex, 4); if (reachable.size() != 4 || !degree5.containsAll(reachable) || reachable.contains(vertex)) { return false; } } return true; } /** * Uses BFS to find all vertices of the {@code graph} which have a degree {@code degree}. This * method doesn't advance to new nodes after it finds a node with a degree {@code degree} * * @param graph the graph to search in * @param startVertex the start vertex * @param degree the degree of desired vertices * @param the graph vertex type * @param the graph edge type * @return all vertices of the {@code graph} reachable from {@code startVertex}, which have * degree {@code degree} */ private static Set reachableWithDegree(Graph graph, V startVertex, int degree) { Set visited = new HashSet<>(); Set reachable = new HashSet<>(); Queue queue = new ArrayDeque<>(); queue.add(startVertex); while (!queue.isEmpty()) { V current = queue.poll(); visited.add(current); for (E e : graph.edgesOf(current)) { V opposite = Graphs.getOppositeVertex(graph, e, current); if (visited.contains(opposite)) { continue; } if (graph.degreeOf(opposite) == degree) { reachable.add(opposite); } else { queue.add(opposite); } } } return reachable; } /** * Checks that the specified graph is directed and throws a customized * {@link IllegalArgumentException} if it is not. Also checks that the graph reference is not * {@code null} and throws a {@link NullPointerException} if it is. * * @param graph the graph reference to check for beeing directed and not null * @param message detail message to be used in the event that an exception is thrown * @param the graph vertex type * @param the graph edge type * @return {@code graph} if directed and not {@code null} * @throws NullPointerException if {@code graph} is {@code null} * @throws IllegalArgumentException if {@code graph} is not directed */ public static Graph requireDirected(Graph graph, String message) { if (graph == null) throw new NullPointerException(GRAPH_CANNOT_BE_NULL); if (!graph.getType().isDirected()) { throw new IllegalArgumentException(message); } return graph; } /** * Checks that the specified graph is directed and throws an {@link IllegalArgumentException} if * it is not. Also checks that the graph reference is not {@code null} and throws a * {@link NullPointerException} if it is. * * @param graph the graph reference to check for beeing directed and not null * @param the graph vertex type * @param the graph edge type * @return {@code graph} if directed and not {@code null} * @throws NullPointerException if {@code graph} is {@code null} * @throws IllegalArgumentException if {@code graph} is not directed */ public static Graph requireDirected(Graph graph) { return requireDirected(graph, GRAPH_MUST_BE_DIRECTED); } /** * Checks that the specified graph is undirected and throws a customized * {@link IllegalArgumentException} if it is not. Also checks that the graph reference is not * {@code null} and throws a {@link NullPointerException} if it is. * * @param graph the graph reference to check for being undirected and not null * @param message detail message to be used in the event that an exception is thrown * @param the graph vertex type * @param the graph edge type * @return {@code graph} if undirected and not {@code null} * @throws NullPointerException if {@code graph} is {@code null} * @throws IllegalArgumentException if {@code graph} is not undirected */ public static Graph requireUndirected(Graph graph, String message) { if (graph == null) throw new NullPointerException(GRAPH_CANNOT_BE_NULL); if (!graph.getType().isUndirected()) { throw new IllegalArgumentException(message); } return graph; } /** * Checks that the specified graph is undirected and throws an {@link IllegalArgumentException} * if it is not. Also checks that the graph reference is not {@code null} and throws a * {@link NullPointerException} if it is. * * @param graph the graph reference to check for being undirected and not null * @param the graph vertex type * @param the graph edge type * @return {@code graph} if undirected and not {@code null} * @throws NullPointerException if {@code graph} is {@code null} * @throws IllegalArgumentException if {@code graph} is not undirected */ public static Graph requireUndirected(Graph graph) { return requireUndirected(graph, GRAPH_MUST_BE_UNDIRECTED); } /** * Checks that the specified graph is directed or undirected and throws a customized * {@link IllegalArgumentException} if it is not. Also checks that the graph reference is not * {@code null} and throws a {@link NullPointerException} if it is. * * @param graph the graph reference to check for beeing directed or undirected and not null * @param message detail message to be used in the event that an exception is thrown * @param the graph vertex type * @param the graph edge type * @return {@code graph} if directed and not {@code null} * @throws NullPointerException if {@code graph} is {@code null} * @throws IllegalArgumentException if {@code graph} is mixed */ public static Graph requireDirectedOrUndirected(Graph graph, String message) { if (graph == null) throw new NullPointerException(GRAPH_CANNOT_BE_NULL); if (!graph.getType().isDirected() && !graph.getType().isUndirected()) { throw new IllegalArgumentException(message); } return graph; } /** * Checks that the specified graph is directed and throws an {@link IllegalArgumentException} if * it is not. Also checks that the graph reference is not {@code null} and throws a * {@link NullPointerException} if it is. * * @param graph the graph reference to check for beeing directed and not null * @param the graph vertex type * @param the graph edge type * @return {@code graph} if directed and not {@code null} * @throws NullPointerException if {@code graph} is {@code null} * @throws IllegalArgumentException if {@code graph} is mixed */ public static Graph requireDirectedOrUndirected(Graph graph) { return requireDirectedOrUndirected(graph, GRAPH_MUST_BE_DIRECTED_OR_UNDIRECTED); } /** * Checks that the specified graph is weighted and throws a customized * {@link IllegalArgumentException} if it is not. Also checks that the graph reference is not * {@code null} and throws a {@link NullPointerException} if it is. * * @param graph the graph reference to check for being weighted and not null * @param the graph vertex type * @param the graph edge type * @return {@code graph} if directed and not {@code null} * @throws NullPointerException if {@code graph} is {@code null} * @throws IllegalArgumentException if {@code graph} is not weighted */ public static Graph requireWeighted(Graph graph) { if (graph == null) throw new NullPointerException(GRAPH_CANNOT_BE_NULL); if (!graph.getType().isWeighted()) { throw new IllegalArgumentException(GRAPH_MUST_BE_WEIGHTED); } return graph; } }




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