Automorphism group of the varietal hypercube graph

DOI10.1007/s00373-017-1827-yzbMath1387.05113OpenAlexW2734728522MaRDI QIDQ1684928

Jin-Xin Zhou, Yi Wang, Yan Quan Feng

Publication date: 12 December 2017

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

Full work available at URL: https://doi.org/10.1007/s00373-017-1827-y

zbMATH Keywords

automorphism groupnormal Cayley graphvarietal hypercube graph

Mathematics Subject Classification ID

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

Related Items (4)

The automorphism group of the bipartite Kneser graph ⋮ Symmetric property and edge-disjoint Hamiltonian cycles of the spined cube ⋮ Symmetric property and reliability of locally twisted cubes ⋮ On the automorphism groups of connected bipartite irreducible graphs

Cites Work

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• Hamilton paths and cycles in varietal hypercube networks with mixed faults
• Automorphism groups of Cayley graphs generated by connected transposition sets
• Automorphism groups of the Pancake graphs
• The automorphism group of the alternating group graph
• Automorphism group of the derangement graph
• Automorphism group of the complete transposition graph
• On the full automorphism group of a graph
• Automorphism groups and isomorphisms of Cayley digraphs
• Transitivity of varietal hypercube networks
• Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets
• Some other algebraic properties of folded hypercubes
• Automorphisms of augmented cubes
• Augmented cubes
• Cycles and Paths Embedded in Varietal Hypercubes

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