Isomorphic tetravalent cyclic Haar graphs

Hiroki Koike, István Kovács

Abstract


Let S be a subset of the cyclic group Zn. The cyclic Haar graph H(Zn, S) is the bipartite graph with color classes Zn + and Zn − , and edges {x + , y − }, where x, y ∈ Zn and y − x ∈ S. In this paper we give sufficient and necessary conditions for the isomorphism of two connected cyclic Haar graphs of valency 4.


Keywords


Graph isomorphism, cyclic Haar graph, 4-BCI-group

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DOI: https://doi.org/10.26493/1855-3974.302.472

ISSN: 1855-3974

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