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Communications in Algebra Volume 34, 2006 - Issue 7
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Original Articles

Central Sets and Radii of the Zero-Divisor Graphs of Commutative Rings

Shane P. Redmond Department of Mathematics and Statistics, Eastern Kentucky University, Richmond, Kentucky, USACorrespondence[email protected]
Pages 2389-2401 | Received 14 Feb 2005, Published online: 01 Feb 2007

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T. Tamizh Chelvam & T. Asir. (2016) Distances in zero-divisor and total graphs from commutative rings–A survey. AKCE International Journal of Graphs and Combinatorics 13:3, pages 290-298.
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ShaneP. Redmond. (2012) Cut Vertices and Degree One Vertices of Zero-Divisor Graphs. Communications in Algebra 40:8, pages 2749-2756.
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Articles from other publishers (13)

Nur Athirah Farhana Omar Zai, Nor Haniza Sarmin, Sanhan Muhammad Salih Khasraw, Ibrahim Gambo & Nurhidayah Zaid. The total non-zero divisor graph of some commutative rings. The total non-zero divisor graph of some commutative rings.
Mehdi Badie. (2021) Notes on the zero-divisor graph and annihilating-ideal graph of a reduced ring. Analele Universitatii "Ovidius" Constanta - Seria Matematica 29:2, pages 51-70.
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Husam Q. Mohammad, Nazar H. Shuker & Luma A. Khaleel. (2019) The maximal degree of a zero-divisor graph. Asian-European Journal of Mathematics 14:01, pages 2050151.
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Alen Ðurić, Sara Jevđenić, Polona Oblak & Nik Stopar. (2019) The total zero-divisor graph of a commutative ring. Journal of Algebra and Its Applications 18:10, pages 1950190.
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T. Tamizh Chelvam, T. Asir & K. Selvakumar. 2016. Algebra and its Applications. Algebra and its Applications 363 379 .
T. Tamizh Chelvam & K. Selvakumar. (2015) On the intersection graph of gamma sets in the zero-divisor graph. Discrete Mathematics, Algorithms and Applications 07:01, pages 1450067.
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Khalida Nazzal & Manal Ghanem. (2012) On the Line Graph of the Zero Divisor Graph for the Ring of Gaussian Integers Modulo . International Journal of Combinatorics 2012, pages 1-13.
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S. Visweswaran. (2011) Some Properties of the Complement of the Zero-Divisor Graph of a Commutative Ring. ISRN Algebra 2011, pages 1-24.
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S. VISWESWARAN. (2012) SOME RESULTS ON THE COMPLEMENT OF THE ZERO-DIVISOR GRAPH OF A COMMUTATIVE RING. Journal of Algebra and Its Applications 10:03, pages 573-595.
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Zoran Pucanovic & Zoran Petrovic. (2011) On the radius and the relation between the total graph of a commutative ring and its extensions. Publications de l'Institut Mathematique Publications de l'Institut Math?matique (Belgrade) 89:103, pages 1-9.
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David F. Anderson, Michael C. Axtell & Joe A. SticklesJr.Jr.. 2011. Commutative Algebra. Commutative Algebra 23 45 .
Karim Samei. (2007) The zero-divisor graph of a reduced ring. Journal of Pure and Applied Algebra 209:3, pages 813-821.
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Shane P. Redmond. (2007) On zero-divisor graphs of small finite commutative rings. Discrete Mathematics 307:9-10, pages 1155-1166.
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