Title
Roughness in Cayley graphs
Abstract
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.
Year
DOI
Venue
2010
10.1016/j.ins.2010.05.011
Inf. Sci.
Keywords
Field
DocType
rough vertex pseudo-cayley graph,cayley graph,pseudo-cayley graph,rough pseudo-cayley graph,new research field,data network,rough approximation,rough edge cayley graph,optimal connectivity,new algebraic definition,normal subgroup,group,rough set
Discrete mathematics,Indifference graph,Combinatorics,Vertex-transitive graph,Cayley graph,Cayley transform,Chordal graph,Graph product,Pathwidth,Mathematics,Maximal independent set
Journal
Volume
Issue
ISSN
180
17
Inf. Sci. 180, 17 (2010): 3362-3372
Citations 
PageRank 
References 
11
0.54
22
Authors
3
Name
Order
Citations
PageRank
M. H. Shahzamanian1110.54
M. Shirmohammadi2110.54
B. Davvaz379557.79