ON THE REGULAR DIGRAPH OF IDEALS OF COMMUTATIVE RINGS

DOI10.1017/S0004972712000792zbMath1276.05050OpenAlexW2125948088WikidataQ58841471 ScholiaQ58841471MaRDI QIDQ2865121

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Publication date: 28 November 2013

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972712000792

zbMATH Keywords

connectednessdiameterregular digraph

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Distance in graphs (05C12) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Directed graphs (digraphs), tournaments (05C20) Connectivity (05C40) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items

On the girth of regular digraph of ideals of an Artinian ring ⋮ On the regular graph of ideals of total ring of fractions ⋮ The regular digraph associated to a poset ⋮ The central vertices and radius of the regular graph of ideals ⋮ CAYLEY SUM GRAPHS OF IDEALS OF A COMMUTATIVE RING

Cites Work

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• Directed graphs and combinatorial properties of semigroups
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• A note on graphical representation of rings
• The regular digraph of ideals of a commutative ring
• Comaximal graph of commutative rings
• Zero-divisor graphs in commutative rings
• A Class of Arc-Transitive Cayley Graphs as Models for Interconnection Networks

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