A new zero-divisor graph contradicting Beck's conjecture, and the classification for a family of polynomial quotients

DOI10.1007/S00373-014-1501-6zbMath1329.13013OpenAlexW2031563014WikidataQ122933088 ScholiaQ122933088MaRDI QIDQ897293

Andrea Vietri

Publication date: 17 December 2015

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-014-1501-6

zbMATH Keywords

Beck's conjecturegraph colouringzero-divisor graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) General commutative ring theory (13A99)

Related Items (3)

Zero divisor graphs of commutative graded rings ⋮ Associate class graph of zero-divisors of a commutative ring ⋮ Beck's coloring of finite product of commutative ring with unity

Cites Work

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• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• The zero-divisor graph of a commutative semigroup
• A Combinatorial Analysis of Zero-Divisor Graphs on Certain Polynomial Rings
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings

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