On the automorphism groups of us-Cayley graphs

DOI10.26493/2590-9770.1624.a3dzbMath1527.05091arXiv1910.12563MaRDI QIDQ6065317

S. Morteza Mirafzal

Publication date: 11 December 2023

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12563

zbMATH Keywords

automorphism groupCayley graphvertex-transitive graphMöbius ladder\(k\)-ary \(n\)-cube

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

• Extraconnectivity of \(k\)-ary \(n\)-cube networks
• Augmented \(k\)-ary \(n\)-cubes
• Fault tolerance in \(k\)-ary \(n\)-cube networks
• Cayley properties of the line graphs induced by consecutive layers of the hypercube
• On the automorphism groups of connected bipartite irreducible graphs
• More odd graph theory from another point of view
• The automorphism group of the bipartite Kneser graph
• Some other algebraic properties of folded hypercubes
• Algebraic Graph Theory
• A note on the automorphism group of the Hamming graph
• The automorphism group of the Andrasfai graph
• Connectivity of transitive graphs
• On the extraconnectivity of k-ary n-cube networks
• Some remarks on the square graph of the hypercube
• The line graph of the crown graph is distance integral
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