عنوان
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The generalized total graph of a commutative semiring
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Semiring · Total graph · Multiplicative-prime subset · k-Ideal · Q-ideal
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چکیده
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Let R be a commutative semiring with nonzero identity and H be a multiplicative-prime subset of R. The generalized total graph of a commutative semir- ing R is the (undirected) graph GTH ( R) whose vertices are all elements of R and two distinct vertices x and y are adjacent if and only if x + y ∈ H . In this paper, we investigate the structure of GTH ( R) and we also study the two (induced) subgraphs GTH ( H ) and GTH ( R\H ) with vertex-sets H and R\H .
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پژوهشگران
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عاطفه درزی (نفر دوم)، یحیی طالبی (نفر اول)
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