Roughness in Cayley Graphs

Details Roughness in Cayley Graphs Roughness in Cayley Graphs

2012-03-12

arxiv.org/abs/1203.2432v1

Inf. Sci. 180, 17 (2010): 3362-3372

Mathematics

Group Theory

Scientific paper

In this paper, rough approximations of Cayley graphs are studied and rough edge Cayley graphs are introduced. Furthermore, a new algebraic definition called pseudo-Cayley graphs containing Cayley graphs is proposed. Rough approximation is expanded to pseudo-Cayley graphs. Also, rough vertex pseudo-Cayley graphs and rough pseudo-Cayley graphs are introduced. Some theorems are provided, form which some properties such as connectivity and optimal connectivity are derived. This approach opens a new research field in sciences such as data networks.

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