Isomorphisms of finite Cayley digraphs of bounded valency

DOI10.1006/jctb.1998.1820zbMath0904.05067OpenAlexW2027077411WikidataQ56988128 ScholiaQ56988128MaRDI QIDQ1127875

Cai Heng Li, Cheryl E. Praeger, Ming-Yao Xu

Publication date: 10 September 1998

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jctb.1998.1820

zbMATH Keywords

Cayley graphgraph isomorphismCI-graph\(m\)-DCI-group

Mathematics Subject Classification ID

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

Related Items

On isomorphisms of vertex-transitive graphs ⋮ Some new groups which are not CI-groups with respect to graphs ⋮ A classification of nilpotent $3$-BCI groups ⋮ On finite groups with the Cayley isomorphism property. II ⋮ Elementary proofs that \(Z_p^2\) and \(Z_p^3\) are CI-groups ⋮ On Cayley graphs of abelian groups ⋮ Isomorphisms of finite Cayley digraphs of bounded valency. II ⋮ On the isomorphisms of Cayley graphs of Abelian groups. ⋮ Normal Cayley digraphs of generalized quaternion groups with CI-property ⋮ On the Cayley isomorphism problem for ternary relational structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On finite rational groups and related topics
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order. II
• Isomorphisms of Cayley multigraphs of degree 4 on finite Abelian groups
• On finite groups all of whose elements of the same order are conjugate in their automorphism groups
• A non-Cayley-invariant Cayley graph of the elementary Abelian group of order 64
• 2-automorphic 2-groups
• A note on Adam's conjecture
• Isomorphism of circulant graphs and digraphs
• On Cayley graphs of abelian groups
• On Ádám's conjecture for circulant graphs
• Ádám's conjecture is true in the square-free case
• Isomorphism problem for Cayley graphs of \(\mathbb{Z}^ 3_ p\)
• A note on \(2\)-automorphic \(2\)-groups
• On finite automorphic algebras
• The Affine Permutation Groups of Rank Three
• Isomorphisms of Cayley graphs. II
• Isomorphism problem for a class of point-symmetric structures
• Finite CI-Groups are Soluble
• The finite simple groups with at most two fusion classes of every order
• Finite groups in which any two elements of the same order are either fused or inverse-fused
• Graphs with circulant adjacency matrices