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The Zero-divisor Graphs of Posets and an Application to Semigroups
Graphs and Combinatorics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dancheng Lu, Tongsuo Wu
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ZERO-DIVISOR GRAPH OF AN IDEAL OF A NEAR-RING
Discrete Mathematics, Algorithms and Applications, 2013In this paper, we associate the graph ΓI(N) to an ideal I of a near-ring N. We exhibit some properties and structure of ΓI(N). For a commutative ring R, Beck conjectured that both chromatic number and clique number of the zero-divisor graph Γ(R) of R are equal. We prove that Beck's conjecture is true for ΓI(N).
T. Tamizh Chelvam, S. Nithya
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Zero Divisor Graph of a Poset with Respect to an Ideal
Order, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Laplacian Eigenvalues of the Zero-Divisor Graph Associated to the Ring of Integers Modulo n
Mathematics, 2021Shariefuddin Pirzada +2 more
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The Wiener index of the zero-divisor graph of a finite commutative ring with unity
Discrete Applied Mathematics, 2022Arunkumar G, K Selvakumar
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On the Zero-Divisor Graph of a Ring
Communications in Algebra, 2008Ayman Badawi, David F Anderson
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Zero-Divisor Graph with Respect to an Ideal
Communications in Algebra, 2006Mohammad Reza Pournaki +1 more
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