On the Radius and the Relation Between the Total Graph of a Commutative Ring and Its Extensions
Zoran Pucanović, Zoran Petrović (2011)
Publications de l'Institut Mathématique
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Zoran Pucanović, Zoran Petrović (2011)
Publications de l'Institut Mathématique
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S. Ebrahimi Atani, M. Shajari Kohan (2011)
Discussiones Mathematicae - General Algebra and Applications
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In a manner analogous to a commutative ring, the L-ideal-based L-zero-divisor graph of a commutative ring R can be defined as the undirected graph Γ(μ) for some L-ideal μ of R. The basic properties and possible structures of the graph Γ(μ) are studied.
Petrović, Zoran Z., Moconja, Slavko M. (2008)
Novi Sad Journal of Mathematics
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Joachim Reineke (1977)
Fundamenta Mathematicae
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Safyan Ahmad, Shamsa Kanwal, Talat Firdous (2018)
Czechoslovak Mathematical Journal
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We study when the modifications of the Cohen-Macaulay vertex cover ideal of a graph are Cohen-Macaulay.
S. Ebrahimi Atani, M. Shajari Kohan, Z. Ebrahimi Sarvandi (2014)
Discussiones Mathematicae - General Algebra and Applications
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In this paper, specifically, we look at the preservation of the diameter and girth of the zero-divisor graph with respect to an ideal of a commutative ring when extending to a finite direct product of commutative rings.
Martínez-Bernal, José, O'Shea, Edwin, Villarreal, Rafael H. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Dochtermann, Anton, Engström, Alexander (2009)
The Electronic Journal of Combinatorics [electronic only]
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Chen, Huanyin, Chen, Miaosen (2003)
International Journal of Mathematics and Mathematical Sciences
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Voskoglou, M.G. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Juhani Nieminen (1979)
Archivum Mathematicum
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Thomas Grill, Manfred Knebusch, Marcus Tressl (2002)
Banach Center Publications
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