Regular graph coverings whose covering transformation groups have the isomorphism extension property

DOI10.1016/0012-365X(94)00266-LzbMath0841.05042MaRDI QIDQ1910541

Jaeun Lee, Jin Ho Kwok, Sung Pyo Hong

Publication date: 24 March 1996

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

automorphismautomorphism groupenumerationsspanning treecirclestransformation groupisomorphism classesbouquetsisomorphic regular graph coveringsisomorphism extension

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (22)

ISOMORPHIC PERIODIC LINKS AS COVERING ⋮ Circulant double coverings of a circulant graph of valency five ⋮ Pentavalent symmetric graphs of order \(2p^3\) ⋮ Classifying cubic symmetric graphs of order \(10p\) or \(10p^{2}\) ⋮ Distribution of branched \(\mathbb{D}_ p\)-coverings of surfaces ⋮ Distributions of regular branched prime-fold coverings of surfaces ⋮ Cubic symmetric graphs of order a small number times a prime or a prime square ⋮ On edge-transitive metacyclic covers of cubic arc-transitive graphs of order twice a prime ⋮ \(s\)-regular cyclic coverings of the three-dimensional hypercube \(Q_{3}\). ⋮ How to find \(G\)-admissible abelian regular coverings of a graph? ⋮ Linear criteria for lifting automorphisms of elementary abelian regular coverings ⋮ Enumerating regular graph coverings whose covering transformation groups are ℤ_2-extensions of a cyclic group ⋮ Balanced regular coverings of a signed graph and regular branched orientable surface coverings over a non-orientable surface ⋮ Typical circulant double coverings of a circulant graph. ⋮ Constructing even radius tightly attached half-arc-transitive graphs of valency four ⋮ Classification of symmetric Tabačjn graphs ⋮ Lifting graph automorphisms along solvable regular covers ⋮ Circulant double coverings of a circulant graph of valency four ⋮ A complete classification of cubic symmetric graphs of girth 6 ⋮ Classifying cubic symmetric graphs of order \(8p\) or \(8p^2\) ⋮ Enumerating branched orientable surface coverings over a non-orientable surface ⋮ A classification of pentavalent arc-transitive bicirculants

Cites Work

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• Isomorphisms and automorphisms of graph coverings
• Counting some finite-fold coverings of a graph
• Isomorphism classes of cycle permutation graphs
• Generating all graph coverings by permutation voltage assignments
• Genus distributions for bouquets of circles
• Isomorphisms of some graph coverings
• Enumeration of graph embeddings
• Graph covering projections arising from finite vector spaces over finite fields
• Hierarchy for imbedding-distribution invariants of a graph
• Counting double covers of graphs
• Enumerating 2-Cell Imbeddings of Connected Graphs
• Regular fourfold coverings with respect to the identity automorphism
• Isomorphism Classes of Graph Bundles

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