Network evolution driven by dynamics applied to graph coloring

An evolutionary network driven by dynamics is studied and applied to the graph coloring problem. From an initial structure, both the topology and the coupling weights evolve according to the dynamics. On the other hand, the dynamics of the network are determined by the topology and the coupling weig...

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Published inChinese physics B Vol. 22; no. 6; pp. 262 - 267
Main Author 吴建设 李力光 王晓华 于昕 焦李成
Format Journal Article
LanguageEnglish
Published 01.06.2013
Subjects
Clusters
Color
Dynamics
Evolution
Evolutionary
Graph coloring
Graphs
Joining
Networks
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/6/060507

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Abstract An evolutionary network driven by dynamics is studied and applied to the graph coloring problem. From an initial structure, both the topology and the coupling weights evolve according to the dynamics. On the other hand, the dynamics of the network are determined by the topology and the coupling weights, so an interesting structure-dynamics co-evolutionary scheme appears. By providing two evolutionary strategies, a network described by the complement of a graph will evolve into several clusters of nodes according to their dynamics. The nodes in each cluster can be assigned the same color and nodes in different clusters assigned different colors. In this way, a co-evolution phenomenon is applied to the graph coloring problem. The proposed scheme is tested on several benchmark graphs for graph coloring.
AbstractList An evolutionary network driven by dynamics is studied and applied to the graph coloring problem. From an initial structure, both the topology and the coupling weights evolve according to the dynamics. On the other hand, the dynamics of the network are determined by the topology and the coupling weights, so an interesting structure-dynamics co-evolutionary scheme appears. By providing two evolutionary strategies, a network described by the complement of a graph will evolve into several clusters of nodes according to their dynamics. The nodes in each cluster can be assigned the same color and nodes in different clusters assigned different colors. In this way, a co-evolution phenomenon is applied to the graph coloring problem. The proposed scheme is tested on several benchmark graphs for graph coloring.
Author 吴建设 李力光 王晓华 于昕 焦李成
AuthorAffiliation Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education of China, 224# Xidian University,2# Taibai South Road, Xi＇an 710071, China Aeronautical Computing Technique Research Institute, Xi＇an 710068, China
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Notes An evolutionary network driven by dynamics is studied and applied to the graph coloring problem. From an initial structure, both the topology and the coupling weights evolve according to the dynamics. On the other hand, the dynamics of the network are determined by the topology and the coupling weights, so an interesting structure-dynamics co-evolutionary scheme appears. By providing two evolutionary strategies, a network described by the complement of a graph will evolve into several clusters of nodes according to their dynamics. The nodes in each cluster can be assigned the same color and nodes in different clusters assigned different colors. In this way, a co-evolution phenomenon is applied to the graph coloring problem. The proposed scheme is tested on several benchmark graphs for graph coloring.
network dynamics, evolution of network, evolutionary strategies, graph coloring problem
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Snippet An evolutionary network driven by dynamics is studied and applied to the graph coloring problem. From an initial structure, both the topology and the coupling...
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SubjectTerms Clusters
Color
Dynamics
Evolution
Evolutionary
Graph coloring
Graphs
Joining
Networks
Title Network evolution driven by dynamics applied to graph coloring
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