Isomorphisms of cubic Cayley graphs on dihedral groups and sparse circulant matrices

DOI10.1007/s10114-023-1415-4zbMath1519.05117OpenAlexW4376288341MaRDI QIDQ6097979

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Publication date: 7 June 2023

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-023-1415-4

zbMATH Keywords

Cayley graphdihedral groupcirculant matrixgraph isomorphism

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

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• On the isomorphism problem for cyclic combinatorial objects
• Cyclic Haar graphs
• On Ádám's conjecture for circulant graphs
• On isomorphisms of finite Cayley graphs---a survey
• Ádám's conjecture is true in the square-free case
• Enumeration of cubic Cayley graphs on dihedral groups
• Cyclic groups are CI-groups for balanced configurations
• Configurations from a Graphical Viewpoint
• Isomorphism problem for a class of point-symmetric structures
• On finite groups with the cayley isomorphism property
• The Number of Cyclic Configurations of Type (v₃) and the Isomorphism Problem

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