The generalized total graph of a commutative semiring
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DOI: 10.1007/s11587-017-0321-4
Abstract: 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 semiring R is the (undirected) graph $$GT_{H}(R)$$GTH(R) whose vertices are all… read more here.
Keywords: graph commutative; commutative semiring; graph; gth ... See more keywords
Some properties of the total graph and regular graph of a commutative ring
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DOI: 10.15672/hjms.2017.490
Abstract: Let $R$ be a commutative ring with unity. The total graph of $R$, $T(\Gamma(R))$, is the simple graph with vertex set $R$ and two distinct vertices are adjacent if their sum is a zero-divisor in… read more here.
Keywords: reg gamma; graph; gamma gamma; gamma ... See more keywords