The genus two class of graphs arising from rings

DOI10.1142/S0219498818501931zbMath1411.13004OpenAlexW2760526180MaRDI QIDQ4561484

T. Asir

Publication date: 6 December 2018

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

Full work available at URL: https://doi.org/10.1142/s0219498818501931

zbMATH Keywords

Jacobson radicalJacobson graphgenus of a 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

The classi cation of rings with its genus of class of graphs ⋮ Classification of non-local rings with genus two zero-divisor graphs ⋮ A survey on genus of selected graphs from commutative rings

Cites Work

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• More on the annihilator graph of a commutative ring
• Rings whose total graphs have genus at most one
• Zero-divisor graphs of genus one
• Rings whose zero-divisor graphs have positive genus
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• On the genus of generalized unit and unitary Cayley graphs of a commutative ring
• Local Rings with Genus Two Zero Divisor Graph
• On the Genus of the Total Graph of a Commutative Ring
• THE JACOBSON GRAPH OF COMMUTATIVE RINGS
• The nonorientable genus of some Jacobson graphs and classification of the projective ones