On the coloring of the annihilating-ideal graph of a commutative ring

DOI10.1016/j.disc.2011.10.020zbMath1246.05069OpenAlexW2078196686MaRDI QIDQ442381

Saieed Akbari, Mohammad Javad Nikmehr, Reza Nikandish, Farzad Shaveisi, Ghodratollah Aalipour

Publication date: 10 August 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.10.020

zbMATH Keywords

chromatic numberclique numberannihilating-ideal graphminimal prime ideal

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) General commutative ring theory (13A99)

Related Items (47)

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Cites Work

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• Minimal prime ideals and cycles in annihilating-ideal graphs
• The zero-divisor graphs of posets and an application to semigroups
• The total graph and regular graph of a commutative ring
• On zero-divisor graphs of small finite commutative rings
• On bipartite zero-divisor graphs
• The minimal prime spectrum of a reduced ring
• Coloring of commutative rings
• The zero-divisor graph of a commutative semigroup
• On zero-divisor graphs of finite rings.
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• The Classification of the Annihilating-Ideal Graphs of Commutative Rings

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