Genetic algorithms for the 2-page book drawing problem of graphs

被引:0
|
作者
Hongmei He
Ondrej Sýkora
Erkki Mäkinen
机构
[1] Loughborough University Loughborough,Department of Computer Science
[2] University of Tampere,Department of Computer Sciences
来源
Journal of Heuristics | 2007年 / 13卷
关键词
Genetic algorithms; 2-page crossing number; Hamiltonian cycle; Order of vertices; Edge distribution; Optimal values;
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学科分类号
摘要
The minimisation of edge crossings in a book drawing of a graph is one of the important goals for a linear VLSI design, and the 2-page crossing number of a graph provides an upper bound for the standard planar crossing number. We design genetic algorithms for the 2-page drawings, and test them on the benchmark test suits, Rome graphs and Random Connected Graphs. We also test some circulant graphs, and get better results than previously presented in the literature. Moreover, we formalise three conjectures for certain kinds of circulant graphs,supported by our experimental results.
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页码:77 / 93
页数:16
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