Partial Star Products: A Local Covering Approach for the Recognition of Approximate Cartesian Product Graphs

被引:8
作者
Hellmuth M. [1 ]
Imrich W. [2 ]
Kupka T. [2 ,3 ]
机构
[1] Center for Bioinformatics, Saarland University, 66041 Saarbrücken, Building E2.1, 413
[2] Chair of Applied Mathematics, 8700 Leoben, Montanuniversität
[3] Department of Applied Mathematics, VSB-Technical University of Ostrava, 70833 Ostrava, 17
关键词
Approximate product; Cartesian product; Partial star product; Product relation;
D O I
10.1007/s11786-013-0156-7
中图分类号
学科分类号
摘要
This paper is concerned with the recognition of approximate graph products with respect to the Cartesian product. Most graphs are prime, although they can have a rich product-like structure. The proposed algorithms are based on a local approach that covers a graph by small subgraphs, so-called partial star products, and then utilizes this information to derive the global factors and an embedding of the graph under investigation into Cartesian product graphs. © 2013 Springer Basel.
引用
收藏
页码:255 / 273
页数:18
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