An efficient heuristic approach to detecting graph isomorphism based on combinations of highly discriminating invariants

被引:0
作者
Matthias Dehmer
Martin Grabner
Abbe Mowshowitz
Frank Emmert-Streib
机构
[1] UMIT,Institute for Bioinformatics and Translational Research
[2] The City College of New York (CUNY),Department of Computer Science
[3] Queen’s University Belfast,Computational Biology and Machine Learning Lab, Center for Cancer Research and Cell Biology, School of Medicine, Dentistry and Biomedical Sciences
来源
Advances in Computational Mathematics | 2013年 / 39卷
关键词
Graph isomorphism; Graphs; Graph measures; Graph topology; Uniqueness; 05C60; 05C75; 68R10;
D O I
暂无
中图分类号
学科分类号
摘要
The search for an easily computable, finite, complete set of graph invariants remains a challenging research topic. All measures characterizing the topology of a graph that have been developed thus far exhibit some degree of degeneracy, i.e., an inability to distinguish between non-isomorphic graphs. In this paper, we show that certain graph invariants can be useful in substantially reducing the computational complexity of isomorphism testing. Our findings are underpinned by numerical results based on a large scale statistical analysis.
引用
收藏
页码:311 / 325
页数:14
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