TOTAL GRAPHS OF POLYNOMIAL RINGS AND RINGS OF FRACTIONS

DOI10.1142/S1793830913500353zbMath1280.05057OpenAlexW2137942375MaRDI QIDQ2874048

Mojgan Afkhami, Kazem Khashyarmanesh

Publication date: 28 January 2014

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

Full work available at URL: https://doi.org/10.1142/s1793830913500353

zbMATH Keywords

diametergirthclique numberpolynomial ringschromatic indextotal graphrings of fractions

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Polynomials over commutative rings (13B25) Coloring of graphs and hypergraphs (05C15) Distance in graphs (05C12) Rings of fractions and localization for commutative rings (13B30)

Cites Work

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• The total graph and regular graph of a commutative ring
• The total graph of a commutative ring
• Cayley graphs as classifiers for data mining: the influence of asymmetries
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• Directed graphs and combinatorial properties of semigroups
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• The diameter of a zero divisor graph
• PLANAR, OUTERPLANAR, AND RING GRAPH OF THE COZERO-DIVISOR GRAPH OF A FINITE COMMUTATIVE RING
• ON THE COZERO-DIVISOR GRAPHS AND COMAXIMAL GRAPHS OF COMMUTATIVE RINGS
• Zero-Divisor Graphs of Polynomials and Power Series Over Commutative Rings
• Remarks on Divisors of Zero

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