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generalized order divisor graphs of finite group
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نویسنده
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choosuwan parinyawat ,sangsawang pannarin ,matwangsang cheevarat ,thongsupol sireethon ,sirisuk siripong
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منبع
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international journal of group theory - 2024 - دوره : 13 - شماره : 1 - صفحه:31 -45
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چکیده
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Abstract. let g be a finite group and k a fixed positive integer. we define the generalized order divisor graph of g to be a graph whose vertex set is the group g and in which two vertices a and b are adjacent if and only if the orders o(ak) and o(bk) are different and either o(ak) divides o(bk) or o(bk) divides o(ak). this generalizes the order divisor graphs of finite groups. some properties of our graph are introduced, and we investigate the structure of the generalized order divisor graphs of finite cyclic groups.
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کلیدواژه
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power graph ,star graph ,cyclic group
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آدرس
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rajamangala university of technology thanyaburi (rmutt)nology thanyaburi (rmutt), faculty of science and technology, department of mathematics and computer science, thailand, thammasat university, faculty of science and technology, department of mathematics and statistics, thailand, thammasat university, faculty of science and technology, department of mathematics and statistics, thailand, thammasat university, faculty of science and technology, department of mathematics and statistics, thailand, thammasat university, faculty of science and technology, department of mathematics and statistics, thailand
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پست الکترونیکی
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siripong@mathstat.sci.tu.ac.th
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Authors
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