Nilpotent graphs of genus one

DOI10.1142/S1793830914500372zbMath1298.05159MaRDI QIDQ2920885

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Publication date: 29 September 2014

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

local ringgenusplanar graphnilpotent

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Differential geometry of symmetric spaces (53C35) General commutative ring theory (13A99)

Related Items (6)

Perfect Nilpotent Graphs ⋮ The book thickness of nilpotent graphs ⋮ Genus two nilpotent graphs of finite commutative rings ⋮ Nilpotent graphs with crosscap at most two ⋮ A typical graph structure of a ring ⋮ Genus and book thickness of the inclusion ideal graph of a ring

Cites Work

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• On zero-divisor graphs of small finite commutative rings
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Planar zero-divisor graphs
• Classification of Rings with Genus One Zero-Divisor Graphs

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