A characterization of rings whose unitary Cayley graphs are planar

DOI10.1142/S0219498818501785zbMath1418.16022OpenAlexW2755598055MaRDI QIDQ4585778

Huadong Su, Yiqiang Zhou

Publication date: 7 September 2018

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

Full work available at URL: https://doi.org/10.1142/s0219498818501785

zbMATH Keywords

planar graphunitunitary Cayley graphfinite commutative ringsemilocal ring

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Units, groups of units (associative rings and algebras) (16U60) Divisibility and factorizations in commutative rings (13A05)

Cites Work

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• On the genus of generalized unit and unitary Cayley graphs of a commutative ring
• Planar zero-divisor graphs
• Longest induced cycles in circulant graphs
• Infinite Planar Zero-Divisor Graphs
• Infinite Rings with Planar Zero-Divisor Graphs

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