Finite commutative ring with genus two essential graph

DOI10.1142/S0219498818501219zbMath1388.13012OpenAlexW2733689629MaRDI QIDQ4566055

M. Subajini, K. Selvakumar, Mohammad Javad Nikmehr

Publication date: 14 June 2018

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

Full work available at URL: https://doi.org/10.1142/s0219498818501219

zbMATH Keywords

genuszero-divisor graphannihilator graphessential graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Ideals and multiplicative ideal theory in commutative rings (13A15) Structure of finite commutative rings (13M05)

Related Items (3)

Crosscap two of class of graphs from commutative rings ⋮ Genus two nilpotent graphs of finite commutative rings ⋮ Unnamed Item

Cites Work

• On the planarity of the \(k\)-zero-divisor hypergraphs
• Zero-divisor graphs of genus one
• Classification of rings with projective zero-divisor graphs
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• Planar zero-divisor graphs
• Classification of nonlocal rings with genus one 3-zero-divisor hypergraphs
• Commutative rings with genus two annihilator graphs
• On the essential graph of a commutative ring
• On the Annihilator Graph of a Commutative Ring
• Classification of Rings with Genus One Zero-Divisor Graphs
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