Enumerating typical abelian coverings of Cayley graphs

DOI10.1016/j.disc.2013.03.021zbMath1408.05106arXiv1208.1342OpenAlexW2069164748MaRDI QIDQ389205

Haimiao Chen

Publication date: 20 January 2014

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

Full work available at URL: https://arxiv.org/abs/1208.1342

zbMATH Keywords

Cayley graphenumerationsubgroup of abelian grouptypical abelian covering

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Cites Work

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• Enumerating typical abelian prime-fold coverings of a circulant graph
• On computing the number of subgroups of a finite Abelian group
• Typical circulant double coverings of a circulant graph.
• Fonctions de Möbius sur les groupes abeliens finis
• Enumeration of Certain Subgroups of Abelian p-Groups
• Erratum: Enumerating Typical Circulant Covering Projections onto a Circulant Graph
• A Unimodality Result in the Enumeration of Subgroups of a Finite Abelian Group
• On prime power Abelian groups

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