Colorings and zero-divisor graphs in commutative rings
| Vol-3 | Issue-10 | October 2018 | Published Online: 10 October 2018 PDF ( 453 KB ) | ||
| Author(s) | ||
| Garg Shelly 1; Grover Harpreet K. 2 | ||
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1Assistant Professor, Department of Mathematics, DAV University, Jalandhar, India 2Assistant Professor, Department of Mathematics, Guru Nanak Dev University, Amritsar, India |
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| Abstract | ||
The zero-divisor graphs have appealed to algebraists and graph theorists alike by establishing an interplay between ring theory and graph theory. The techniques used in studying zero divisor graphs have varied from simple computational to highly refined ring theoretic. Rings with special type of zero –divisor graphs have been classified in literature. In this article, we give a brief survey of zero-divisor graphs in commutative rings. |
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| Keywords | ||
| Zero divisors, Coloring, chromatic number, clique, diameter of a graph, complete graph, planar graph, star graph, bi-partite graph. | ||
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