Finite edge-transitive bi-circulants

Jiangmin Pan and Fugang Yin

Applied Mathematics and Computation, 2021, vol. 405, issue C

Abstract: This work studies edge-transitive bi-circulants of order 2n with Zn being a Hall subgroup of the full automorphism groups. The automorphism groups of such graphs are completely determined. As an application, a classification is given of bipartite edge-transitive bi-circulants of order 2n with valency less than the smallest prime divisors of n. This also leads to a new construction of an infinite family of arc-regular bi-circulants.

Keywords: Bi-circulant; Automorphism group; Arc-regular graph (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:405:y:2021:i:c:s009630032100357x

DOI: 10.1016/j.amc.2021.126268

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