Title : ( On Graphs Associated to Conjugacy Classes of Some Metacyclic 2-Groups )
Authors: K. Moradipour , N. H. Sarmin , Ahmad Erfanian ,
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Abstract
We consider the graph Γ associated with the conjugacy classes of a group ܩ. Its vertices are the non-central conjugacy class sizes of G, and two distinct vertices u and v are joined by an edge if and only if their class sizes have a non-trivial common divisor, i.e. gcd (|u|, |v|) > 1. In this article, we characterize certain properties of the graph Γ structured on some finite metacyclic 2- groups. More specifically, we show that the chromatic number and clique number of these graphs are the same.
Keywords
, Graph, Metacyclic group, Conjugacy class.
@article{paperid:1040338,
author = {K. Moradipour and N. H. Sarmin and Erfanian, Ahmad},
title = {On Graphs Associated to Conjugacy Classes of Some Metacyclic 2-Groups},
journal = {Journal of Basic and Applied Scientific Research},
year = {2013},
volume = {3},
number = {1},
month = {January},
issn = {2090-4304},
pages = {898--902},
numpages = {4},
keywords = {Graph; Metacyclic group; Conjugacy class.},
}
%0 Journal Article
%T On Graphs Associated to Conjugacy Classes of Some Metacyclic 2-Groups
%A K. Moradipour
%A N. H. Sarmin
%A Erfanian, Ahmad
%J Journal of Basic and Applied Scientific Research
%@ 2090-4304
%D 2013
