Unitary Cayley graphs of matrix rings over finite commutative rings

DOI10.1016/j.ffa.2020.101689zbMath1442.05088OpenAlexW3025291191MaRDI QIDQ2191824

Jitsupat Rattanakangwanwong, Yotsanan Meemark

Publication date: 26 June 2020

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2020.101689

zbMATH Keywords

strongly regular graphcharacter sumunitary Cayley graphmatrix ring

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Combinatorial aspects of groups and algebras (05E16)

Related Items (6)

Subconstituents of unitary Cayley graph of matrix algebras ⋮ Spectral properties of Cayley graphs over \(M_{m \times n}(F_q)\) ⋮ Eigenvalues of Cayley graphs ⋮ Subgraph of unitary Cayley graph of matrix algebras induced by idempotent matrices ⋮ The unitary Cayley graph of a semiring ⋮ On unitary Cayley graphs of matrix rings

Cites Work

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• On the unitary Cayley graph of a ring
• On the unitary Cayley graphs of matrix algebras
• Energy of unitary Cayley graphs and gcd-graphs
• The energy of unitary Cayley graphs
• Ramanujan graphs
• Some properties of unitary Cayley graphs
• On the unitary Cayley graph of a finite ring

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