Commuting Graphs, C(G, X) in Symmetric Groups Sym(n) and Its Connectivity

Autor: Sharifah Kartini Said Husain, Athirah Nawawi, Muhammad Rezal Kamel Ariffin
Rok vydání: 2019
Předmět:
Zdroj: Symmetry
Volume 11
Issue 9
Symmetry, Vol 11, Iss 9, p 1178 (2019)
ISSN: 2073-8994
Popis: A commuting graph is a graph denoted by C ( G , X ) where G is any group and X, a subset of a group G, is a set of vertices for C ( G , X ) . Two distinct vertices, x , y &isin
X , will be connected by an edge if the commutativity property is satisfied or x y = y x . This study presents results for the connectivity of C ( G , X ) when G is a symmetric group of degree n, Sym ( n ) , and X is a conjugacy class of elements of order three in G.
Databáze: OpenAIRE
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