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Communications in Algebra Volume 36, 2008 - Issue 12
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Original Articles

On Realizing Zero-Divisor Graphs

John D. LaGrange Department of Mathematics, The University of Tennessee, Knoxville, Tennessee, USACorrespondence[email protected]
Pages 4509-4520 | Received 20 Aug 2007, Published online: 11 Dec 2008

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Avinash A. Patil & B.N. Waphare. (2019) Characterizations of connected orthogonality graphs of projections of Rickart ∗-rings. Quaestiones Mathematicae 42:1, pages 59-71.
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Amanda R. Curtis, Alexander J. Diesl & Jane C. Rieck. (2018) Classifying annihilating-ideal graphs of commutative artinian rings. Communications in Algebra 46:9, pages 4131-4147.
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Candace F. Kimball & John D. LaGrange. (2018) The idempotent-divisor graphs of a commutative ring. Communications in Algebra 46:9, pages 3899-3912.
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LeahM. Birch, JeremyJ. Thibodeaux & RalphP. Tucci. (2014) Zero Divisor Graphs of Finite Direct Products of Finite Rings. Communications in Algebra 42:9, pages 3852-3860.
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Articles from other publishers (17)

G. Arunkumar, Peter J. Cameron, T. Kavaskar & T. Tamizh Chelvam. (2023) Induced subgraphs of zero-divisor graphs. Discrete Mathematics 346:10, pages 113580.
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T. Kavaskar. 2023. Algorithms and Discrete Applied Mathematics. Algorithms and Discrete Applied Mathematics 172 183 .
Thanthony Kavaskar. (2022) Beck’s Coloring of Finite Product of Commutative Ring with Unity. Graphs and Combinatorics 38:2.
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Avinash Patil, Anil Khairnar & P. S. Momale. (2022) Zero-divisor graph of a ring with respect to an automorphism. Soft Computing 26:5, pages 2107-2119.
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Krishnan Paramasivam & K. Muhammed Sabeel. (2020) Zero-divisor graph of semisimple group-rings. Journal of Algebra and Its Applications 21:02.
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Aihua Li, Ryan Miller & Ralph P. Tucci. 2020. Advances in Mathematical Sciences. Advances in Mathematical Sciences 173 179 .
Katherine Cooper & Brian Johnson. (2018) Zero divisor graphs of commutative graded rings. Involve, a Journal of Mathematics 11:2, pages 283-295.
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Avinash Patil, B. N. Waphare, Vinayak Joshi & Hossein Y. Pourali. (2017) Zero-divisor graphs of lower dismantlable lattices I. Mathematica Slovaca 67:2, pages 285-296.
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David F. Anderson & Ayman Badawi. 2017. Groups, Modules, and Model Theory - Surveys and Recent Developments. Groups, Modules, and Model Theory - Surveys and Recent Developments 23 39 .
John D. LaGrange. (2016) Annihilators in zero-divisor graphs of semilattices and reduced commutative semigroups. Journal of Pure and Applied Algebra 220:8, pages 2955-2968.
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David F. Anderson & John D. LaGrange. (2016) Some remarks on the compressed zero-divisor graph. Journal of Algebra 447, pages 297-321.
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John D. LaGrange. (2014) Invariants and isomorphism theorems for zero-divisor graphs of commutative rings of quotients. Journal of Commutative Algebra 6:3.
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John D. LaGrange & Kyle A. Roy. (2013) Poset graphs and the lattice of graph annihilators. Discrete Mathematics 313:10, pages 1053-1062.
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David F. Anderson & Ayman Badawi. (2012) Von Neumann Regular and Related Elements in Commutative Rings. Algebra Colloquium 19:spec01, pages 1017-1040.
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David F. Anderson & John D. LaGrange. (2012) Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph. Journal of Pure and Applied Algebra 216:7, pages 1626-1636.
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John D. LaGrange. (2018) Characterizations of Three Classes of Zero-Divisor Graphs. Canadian Mathematical Bulletin 55:1, pages 127-137.
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David F. Anderson, Michael C. Axtell & Joe A. SticklesJr.Jr.. 2011. Commutative Algebra. Commutative Algebra 23 45 .

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