Title : ( Relative Cayley graphs of finite groups )
Authors: mehdi rajabian , Ahmad Erfanian ,
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Abstract
Abstract. The relative Cayley graph of a group G with respect to its proper subgroup H, is a graph whose vertices are elements of G and two vertices h ∈ H and g ∈ G are adjacent if g = hc for some c ∈ C, where C is an inverse-closed subset of G. We study the relative Cayley graphs and, among other results, we discuss on their connectivity and forbidden structures, and compute some of their important numerical invariants.
Keywords
, Relative Cayley graph, Cayley graph, connectivity, numerical invariants, forbidden structures, ABA-group
@article{paperid:1072869,
author = {Rajabian, Mehdi and Erfanian, Ahmad},
title = {Relative Cayley graphs of finite groups},
journal = {Asian-European Journal of Mathematics},
year = {2018},
volume = {12},
number = {7},
month = {June},
issn = {1793-5571},
keywords = {Relative Cayley graph; Cayley graph; connectivity; numerical invariants; forbidden structures; ABA-group},
}
%0 Journal Article
%T Relative Cayley graphs of finite groups
%A Rajabian, Mehdi
%A Erfanian, Ahmad
%J Asian-European Journal of Mathematics
%@ 1793-5571
%D 2018
