Commuting Graphs, C(G, X) in Symmetric Groups Sym(n) and Its Connectivity
Autor: | Sharifah Kartini Said Husain, Athirah Nawawi, Muhammad Rezal Kamel Ariffin |
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Rok vydání: | 2019 |
Předmět: |
Physics
commuting graph Physics and Astronomy (miscellaneous) lcsh:Mathematics General Mathematics 010102 general mathematics 0102 computer and information sciences lcsh:QA1-939 01 natural sciences Graph symmetric group Combinatorics TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES Conjugacy class 010201 computation theory & mathematics Chemistry (miscellaneous) Symmetric group Computer Science (miscellaneous) 0101 mathematics Commutative property order 3 elements |
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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