Journal
INFORMATION SCIENCES
Volume 180, Issue 17, Pages 3362-3372Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2010.05.011
Keywords
Cayley graph; Rough set; Group; Normal subgroup; Lower and upper approximation; Pseudo-Cayley graph
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In this paper, rough approximations of Cayley graphs are studied, and rough edge Cayley graphs are introduced. Furthermore, a new algebraic definition for pseudo-Cayley graphs containing Cayley graphs is proposed, and a rough approximation is expanded to pseudo-Cayley graphs. In addition, rough vertex pseudo-Cayley graphs and rough pseudo-Cayley graphs are introduced. Some theorems are provided from which properties such as connectivity and optimal connectivity are derived. This approach opens new research fields, such as data networks. (C) 2010 Elsevier Inc. All rights reserved.
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