com.googlecode.blaisemath.graph.mod.metrics.GraphCentrality Maven / Gradle / Ivy

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/*
 * GraphCentrality.java
 * Created Jul 23, 2010
 */
package com.googlecode.blaisemath.graph.mod.metrics;

/*
 * #%L
 * BlaiseGraphTheory
 * --
 * Copyright (C) 2009 - 2016 Elisha Peterson
 * --
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 * 
 *      http://www.apache.org/licenses/LICENSE-2.0
 * 
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 * #L%
 */

import com.google.common.base.Function;
import com.google.common.collect.HashMultimap;
import com.google.common.collect.HashMultiset;
import com.google.common.collect.Maps;
import com.google.common.collect.Ordering;
import com.googlecode.blaisemath.graph.GraphNodeMetric;
import java.util.HashMap;
import java.util.Map;
import java.util.Set;
import com.googlecode.blaisemath.util.GAInstrument;
import com.googlecode.blaisemath.graph.Graph;
import com.googlecode.blaisemath.graph.GraphMetrics;
import com.googlecode.blaisemath.graph.GraphUtils;
import java.util.ArrayDeque;

/**
 *  Implements closeness centrality (Sabidussi 1966), the inverse sum of
 * distances from one node to other nodes. The same calculation can be used to
 * compute the "eccentricity" of the node, the max distance from this node to
 * any other node, termed graph centrality by Hage/Harary 1995. Instances
 * of both metrics are provided. 
 *
 * @author elisha
 */
public class GraphCentrality implements GraphNodeMetric {
    
    @Override
    public String toString() {
        return "Graph centrality";
    }

    @Override
    public  Double apply(Graph graph, V node) {
        int n = graph.nodeCount();
        Map lengths = new HashMap();
        GraphUtils.breadthFirstSearch(graph, node, HashMultiset.create(), lengths, 
                new ArrayDeque(), HashMultimap.create());
        double cptSize = lengths.size();
        Integer max = Ordering.natural().max(lengths.values());
        return cptSize / (n * (double) max);
    }

    @Override
    public  Map apply(Graph graph) {
        int id = GAInstrument.start("GraphCentrality.allValues", graph.nodeCount()+" nodes", graph.edgeCount()+" edges");
        Map res = GraphMetrics.applyToComponents(graph, new ApplyConnected());
        GAInstrument.end(id);
        return res;
    }

    /** Computes values for a connected portion of a graph */
    private static class ApplyConnected implements Function, Map> {
        @Override
        public Map apply(Graph graph) {
            Map res = Maps.newHashMap();
            Set nodes = graph.nodes();

            for (V start : nodes) {
                Map lengths = new HashMap();
                GraphUtils.breadthFirstSearch(graph, start, HashMultiset.create(), lengths, 
                        new ArrayDeque(), HashMultimap.create());
                double max = Ordering.natural().max(lengths.values());
                res.put(start, 1.0 / max);
            }
            return res;
        }
    }
}