Subgraph of unitary Cayley graph of matrix algebras induced by idempotent matrices

DOI10.1016/j.disc.2023.113739OpenAlexW4387629761MaRDI QIDQ6184521

Yotsanan Meemark, Jitsupat Rattanakangwanwong

Publication date: 25 January 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2023.113739

zbMATH Keywords

bipartite graphclique numberidempotent matrixunitary Cayley graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Algebraic systems of matrices (15A30)

Cites Work

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• On the unitary Cayley graphs of matrix algebras
• Energy of unitary Cayley graphs and gcd-graphs
• The energy of unitary Cayley graphs
• Idempotent graphs, weak perfectness, and zero-divisor graphs
• Subconstituents of unitary Cayley graph of matrix algebras
• Unitary Cayley graphs of matrix rings over finite commutative rings
• On unitary Cayley graphs of matrix rings
• Some properties of unitary Cayley graphs
• On the unitary Cayley graph of a finite ring
• Counting matrices over finite fields having a given number of rows of unit weight
• ON THE IDEMPOTENT GRAPH OF A RING
• Bounds for the number of idempotents in finite rings

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