On the isomorphisms and automorphism groups of circulants

DOI10.1007/BF01858452zbMath0856.05047OpenAlexW2020496823MaRDI QIDQ1915144

Ji Xiang Meng, Qiong Xiang Huang

Publication date: 11 June 1996

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

Full work available at URL: https://doi.org/10.1007/bf01858452

zbMATH Keywords

automorphism groupisomorphismcirculant digraph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (12)

A classification of spectrum-determined circulant digraphs ⋮ On arc-transitive circulant digraphs ⋮ Automorphism groups and isomorphisms of Cayley digraphs ⋮ On isomorphisms of connected Cayley graphs. II ⋮ Typical circulant double coverings of a circulant graph. ⋮ A family of nonnormal Cayley digraphs ⋮ Characteristic polynomials of graph bundles having voltages in a dihedral group ⋮ Enumeration of 2-regular circulant graphs and directed double networks ⋮ A classification of DCI(CI)-subsets for cyclic group of odd prime power order ⋮ Automorphism groups of circulants and adjoint matrices of graphs ⋮ Unnamed Item ⋮ On the isomorphisms of Cayley graphs of Abelian groups.

Cites Work

• A note on Adam's conjecture
• Isomorphism of circulant graphs and digraphs
• Isomorphisms of circulant digraphs
• Point-symmetric graphs with a prime number of points
• Graphs with circulant adjacency matrices
• Unnamed Item
• Unnamed Item

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