The embedding of line graphs associated to the zero-divisor graphs of commutative rings

DOI10.1007/s11856-010-0101-2zbMath1207.13005OpenAlexW2046303892MaRDI QIDQ616521

Pei-Feng Lee, Hsin-Ju Wang, Hung-Jen Chiang-Hsieh

Publication date: 10 January 2011

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0101-2

zbMATH Keywords

line graphgenuszero divisor graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General commutative ring theory (13A99)

Related Items (5)

Classification of finite commutative rings with planar, toroidal, and projective line graphs associated with Jacobson graphs ⋮ THE ZERO-DIVISOR GRAPHS OF RINGS AND SEMIRINGS ⋮ Spectrum of Graphs over Rings: A Survey ⋮ Line graphs associated to annihilating-ideal graph attached to lattices of genus one ⋮ ON THE GENUS OF THE INTERSECTION GRAPH OF IDEALS OF A COMMUTATIVE RING

Cites Work

• Zero-divisor graphs of genus one
• Classification of rings with projective zero-divisor graphs
• Coloring of commutative rings
• Orientable imbedding of line-graphs
• The zero-divisor graph of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• On the zero-divisor graph of a commutative ring
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS
• Blocks and the nonorientable genus of graphs
• Classification of Rings with Genus One Zero-Divisor Graphs
• Additivity of the genus of a graph
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