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on bipartite divisor graph for character degrees
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نویسنده
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moosavi ali
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منبع
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international journal of group theory - 2017 - دوره : 6 - شماره : 1 - صفحه:1 -7
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چکیده
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the concept of the bipartite divisor graph for integer subsets has been considered in [m. a. iranmanesh and c. e. praeger, bipartite divisor graphs for integer subsets, graphs combin., 26 (2010) 95-105.]. in this paper, we will consider this graph for the set of character degrees of a finite group $g$ and obtain some properties of this graph. we show that if $g$ is a solvable group, then the number of connected components of this graph is at most $2$ and if $g$ is a nonsolvable group, then it has at most $3$ connected components. we also show that the diameter of a connected bipartite divisor graph is bounded by $7$ and obtain some properties of groups whose graphs are complete bipartite graphs.
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کلیدواژه
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bipartite divisor graph ,character degree ,connected component ,diameter.
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آدرس
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university of qom, department of mathematics, ایران
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پست الکترونیکی
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s.a.mousavi@qom.ac.ir
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Authors
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