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a note on the coprime graph of a group
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نویسنده
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dorbidi hamid reza
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منبع
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international journal of group theory - 2016 - دوره : 5 - شماره : 4 - صفحه:17 -22
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چکیده
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in this paper we study the coprime graph of a group $g$. the coprime graph of a group $g$, denoted by $gamma_g$, is a graph whose vertices are elements of $g$ and two distinct vertices $x$ and $y$ are adjacent if and only if $(|x|,|y|)=1$. in this paper, we show that $chi(gamma_g)=omega(gamma_g).$ we classify all the groups which $gamma_g$ is a complete $r$partite graph or a planar graph. also we study the automorphism group of $gamma_g$.
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کلیدواژه
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coprime graph ,planner graph ,automorphism group
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آدرس
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jiroft university, department of basic sciences, ایران
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پست الکترونیکی
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hr_dorbidi@yahoo.com, hr dorbidi@ujiroft.ac.ir
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Authors
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