PLANAR, OUTERPLANAR, AND RING GRAPH OF THE COZERO-DIVISOR GRAPH OF A FINITE COMMUTATIVE RING

DOI10.1142/S0219498812501034zbMath1253.13008OpenAlexW2049400482WikidataQ58841488 ScholiaQ58841488MaRDI QIDQ3144369

Mojgan Afkhami, Kazem Khashyarmanesh

Publication date: 7 December 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812501034

zbMATH Keywords

planarityring graphcozero-divisor graphouterplanarity

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) General commutative ring theory (13A99)

Related Items (11)

The cozero-divisor graph of a module ⋮ On the genus of graphs from commutative rings ⋮ On the cozero-divisor graphs associated to rings ⋮ Rings whose cozero-divisor graph has crosscap number at most two ⋮ Classification of rings with toroidal and projective coannihilator graph ⋮ CIO and ring graphs: deficiency and testing ⋮ Zero divisor graph of a lattice with respect to an ideal ⋮ Implosive graphs: Square-free monomials on symbolic Rees algebras ⋮ Well-covered and Cohen-Macaulay theta-ring graphs ⋮ SOME CRITERIA FOR THE FINITENESS OF COZERO-DIVISOR GRAPHS ⋮ TOTAL GRAPHS OF POLYNOMIAL RINGS AND RINGS OF FRACTIONS

Cites Work

• Unnamed Item
• Ring graphs and complete intersection toric ideals
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• Rings of order \(p^5\). I: Nonlocal rings
• Planar zero-divisor graphs
• On the Zero-Divisor Graph of a Ring

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