Results 141 to 150 of about 600 (179)
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The Zero-Divisor Graph of a Lattice
Results in Mathematics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kazem Khashyarmanesh, Khashyarmanesh K
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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.
Vinayak Joshi
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On Domination in Zero-Divisor Graphs
Canadian Mathematical Bulletin, 2013AbstractWe first determine the domination number for the zero-divisor graph of the product of two commutative rings with 1. We then calculate the domination number for the zero-divisor graph of any commutative artinian ring. Finally, we extend some of the results to non-commutative rings in which an element is a left zero-divisor if and only if it is a
Rad, Nader Jafari +2 more
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The zero-divisor graphs of MV-algebras
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aiping Gan, Yichuan Yang
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Chromatic uniqueness of zero-divisor graphs
The Art of Discrete and Applied Mathematics, 2022Summary: The zero-divisor graph \(\Pi(R)\) of a commutative ring \(R\) is the graph whose vertices are the elements of \(R\) such that the vertices \(u\) and \(v\) are adjacent if and only if \(uv=0\). If the graphs \(G\) and \(H\) have the same chromatic polynomial, then we say that they are chromatically equivalent (or \(\chi -\) equivalent), written
Haneen Al-Janabi, Gábor Bacsó
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The College Mathematics Journal, 2010
The last ten years have seen an explosion of research in the zero-divisor graphs of commutative rings—by professional mathematicians and undergraduates.
Axtell, Michael, Stickles, Joe
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The last ten years have seen an explosion of research in the zero-divisor graphs of commutative rings—by professional mathematicians and undergraduates.
Axtell, Michael, Stickles, Joe
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Zero-divisor super-$$\lambda$$ graphs
São Paulo Journal of Mathematical Sciences, 2022A maximally edge-connected graph with all minimum edge-cuts trivial is called super-\(\lambda\). In this paper, using the finite direct product of finite fields, the ring of the residues, and the trivial extension of rings by a module, the authors show that there are various classes of rings whose zero-divisor graphs are super-\(\lambda\) and then ...
Driss Bennis +2 more
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A Characterization of Bipartite Zero-divisor Graphs
Canadian Mathematical Bulletin, 2014AbstractIn this paper we obtain a characterization for all bipartite zero-divisor graphs of commutative rings R with 1 such that R is finite or |Nil(R)| ≠ 2.
Rad, Nader Jafari, Jafari, Sayyed Heidar
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Simple Graphs and Zero-divisor Semigroups
Algebra Colloquium, 2009In this paper, we provide examples of graphs which uniquely determine a zero-divisor semigroup. We show two classes of graphs that have no corresponding semigroups. Especially, we prove that no complete r-partite graph together with two or more end vertices (each linked to distinct vertices) has corresponding semigroups.
Wu, Tongsuo, Chen, Li
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On zero divisor graphs of the rings $$Z_n$$
Afrika Matematika, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Pirzada, M. Aijaz, M. Imran Bhat
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