Some Remarks on the Graph ΓI(R)

DOI10.1080/00927872.2012.718021zbMath1288.13001OpenAlexW1980021284MaRDI QIDQ5409800

David F. Anderson, S. Shirinkam

Publication date: 14 April 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2012.718021

zbMATH Keywords

complete bipartite graphcomplete graphzero-divisor graphzero-divisorideal-based zero-divisor graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Graph theory (05C99)

Related Items (2)

An ideal-based cozero-divisor graph of a commutative ring ⋮ Locating sets and numbers of graphs associated to commutative rings

Cites Work

• On the diameter and girth of a zero-divisor graph
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• The zero-divisor graph of a commutative semigroup
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• Zero-divisor graphs in commutative rings
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• Zero-Divisor Graph with Respect to an Ideal
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