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Tolue, B., Erfanian, A., Jafarzadeh, A.. (1393). A Kind of Non-commuting Graph of Finite Groups. , 25(4), 379-384.
B. Tolue; A. Erfanian; A. Jafarzadeh. "A Kind of Non-commuting Graph of Finite Groups". , 25, 4, 1393, 379-384.
Tolue, B., Erfanian, A., Jafarzadeh, A.. (1393). 'A Kind of Non-commuting Graph of Finite Groups', , 25(4), pp. 379-384.
Tolue, B., Erfanian, A., Jafarzadeh, A.. A Kind of Non-commuting Graph of Finite Groups. , 1393; 25(4): 379-384.

A Kind of Non-commuting Graph of Finite Groups

Journal of Sciences, Islamic Republic of Iran
مقاله 9، دوره 25، شماره 4، اسفند 2014، صفحه 379-384    اصل مقاله (229.92 K)
نوع مقاله: Original Paper
نویسندگان
B. Tolue* 1؛ A. Erfanian2؛ A. Jafarzadeh2
11Department of Pure Mathematics, Faculty of Sciences, Hakim Sabzevari University, Sabzevar, Islamic republic of Iran
22 Department of Mathematics and Center of Excellence in Analysis on Algebraic Structures, Faculty of Sciences, Ferdowsi University of Mashhad, Mashhad, Islamic republic of Iran.
چکیده
Let g be a fixed element of a finite group G. We introduce the g-noncommuting graph of G whose vertex set is whole elements of the group G and two vertices x,y are adjacent whenever [x,y] g  and  [y,x] g. We denote this graph by . In this paper, we present some graph theoretical properties of g-noncommuting graph. Specially, we investigate about its planarity and regularity, its clique number and dominating number. We prove that if G, H are isoclinic groups with |Z (G)|=|Z (H)|, then their associated graphs are isomorphic.
کلیدواژه‌ها
g-noncommuting graph؛ commutator؛ non-commuting graph؛ isoclinism
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