Book thickness of toroidal zero-divisor graphs
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DOI: 10.1007/s13370-017-0487-7
Abstract: We determine the book thickness of all zero-divisor graphs with genus at most one. We also describe four families of three page embeddable zero-divisor graphs. read more here.
Keywords: book thickness; zero divisor; divisor graphs;
On zero-divisor graphs of skew polynomial rings over non-commutative rings
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DOI: 10.1142/s0219498817500566
Abstract: In this paper, we continue to study zero-divisor properties of skew polynomial rings R[x; α,δ], where R is an associative ring equipped with an endomorphism α and an α-derivation δ. For an associative ring R,… read more here.
Keywords: divisor graphs; graphs skew; zero divisor; polynomial rings ... See more keywords
Classification of posets using zero-divisor graphs
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DOI: 10.1515/ms-2017-0076
Abstract: Abstract Halaš and Jukl associated the zero-divisor graph G to a poset (X,≤) with zero by declaring two distinct elements x and y of X to be adjacent if and only if there is no… read more here.
Keywords: divisor graphs; classification posets; zero divisor; divisor ... See more keywords
Zero-divisor graphs of partial transformation semigroups
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DOI: 10.3906/mat-2012-94
Abstract: Let Pn be the partial transformation semigroup on Xn = {1, 2, . . . , n} . In this paper, we find the left zerodivisors, right zero-divisors and two sided zero-divisors of Pn ,… read more here.
Keywords: graphs partial; divisor graphs; zero divisor; transformation ... See more keywords