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Conditions on the edges and vertices of non-commuting graph
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نویسنده
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jahandideh m. ,darafsheh m.r. ,sarmin n.h. ,omer s.m.s.
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منبع
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jurnal teknologi - 2015 - دوره : 74 - شماره : 1 - صفحه:73 -76
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چکیده
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Let g be a non- abelian finite group. the non-commuting graph of γg is defined as a graph with a vertex set g-z(g)in which two vertices x and y are joined if and only if xy ≠ yx. we define γg=(v(γg),e(γg)) such that v(γg) is the vertices set and e(γg) is the edges set. in this paper,we invest some results on |e(γg)|,the degree of avertex of non-commuting graph and the number of conjugacy classes of a finite group. we found that that if γg ≅ γh is afinite group,then |g| = |h|. © 2015 penerbit utm press. all rights reserved.
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کلیدواژه
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Finite group; Non-commuting graph
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آدرس
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shahid chamran university of ahvaz, ایران, university of tehran, ایران, department of mathematical sciences,universiti teknologi malaysia utm,johor bahru, Malaysia, department of mathematics,university of benghazi, Libyan Arab Jamahiriya
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Authors
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