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on annihilator graph of a finite commutative ring
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نویسنده
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dutta sanghita ,lanong chanlemki
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منبع
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transactions on combinatorics - 2017 - دوره : 6 - شماره : 1 - صفحه:1 -11
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چکیده
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the annihilator graph ag(r) of a commutative ring r is a simple undirected graph with the vertex set z(r)∗ and two distinct vertices are adjacent if and only if ann(x)∪ann(y) ≠ ann(xy). in this paper we give the sufficient condition for a graph ag(r) to be complete. we characterize rings for which ag(r) is a regular graph, we show that γ(ag(r))∈{1,2} and we also characterize the rings for which ag(r) has a cut vertex. finally we find the clique number of a finite reduced ring and characterize the rings for which ag(r) is a planar graph.
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کلیدواژه
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annihilator ,clique number ,domination number.
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آدرس
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north eastern hill university, department of mathematics, india, north eastern hill university, department of mathematics, india
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پست الکترونیکی
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lanongc@gmail.com
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Authors
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