The cubic power graph of finite abelian groups

DOI10.1080/09728600.2021.1878868zbMath1473.05127OpenAlexW3132682247MaRDI QIDQ5165015

T. Tamizh Chelvam, R. Raveendra Prathap

Publication date: 15 November 2021

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

Full work available at URL: https://doi.org/10.1080/09728600.2021.1878868

zbMATH Keywords

chromatic numberabelian groupcomplementperfectadditive power graphcubic power graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Connectivity (05C40)

Related Items (1)

Subgroup sum graphs of finite abelian groups

Cites Work

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• Subgroups as efficient dominating sets in Cayley graphs
• Efficient open domination in Cayley graphs
• Efficient domination in circulant graphs with two chord lengths
• The square element graph over a finite commutative ring
• The zero-divisor graph of a commutative ring
• Efficient dominating sets in Cayley graphs.
• The square element graph over a ring
• Zero divisor graphs of semigroups.
• On the connectedness of square element graphs over arbitrary rings
• Independent perfect domination sets in Cayley graphs
• Square roots in finite full transformation semigroups
• Some properties of Square element graphs over semigroups

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