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the central vertices and radius of the regular graph of ideals
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نویسنده
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shaveisi farzad
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منبع
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transactions on combinatorics - 2017 - دوره : 6 - شماره : 4 - صفحه:1 -13
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چکیده
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The regular graph of ideals of the commutative ring r, denoted by γreg(r), is a graph whose vertex set is the set of all non-trivial ideals of r and two distinct vertices i and j are adjacent if and only if either i contains a j-regular element or j contains an i-regular element. in this paper, it is proved that the radius of γreg(r) equals 3. the central vertices of γreg(r) are determined, too.
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کلیدواژه
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arc ,artinian ring ,eccentricity ,radius ,regular digraph.
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آدرس
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razi university, faculty of science, department of mathematics, ایران
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پست الکترونیکی
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f.shaveisi@razi.ac.ir
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Authors
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