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Peer reviewed
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Biswas, Sucharita; Das, Angsuman
Proceedings of the Indian Academy of Sciences. Mathematical sciences, 10/2021, Volume: 131, Issue: 2Journal Article
Alspach et al . ( J. Austral. Math. Soc . 56(3) (1994) 391–402) constructed an infinite family of tetravalent graphs M ( a ; m , n ) and proved that if n ≥ 9 be odd and a 3 ≡ 1 ( mod n ) , then M ( a ; 3, n ) is half-arc-transitive. In this paper, we show that if a 3 ≡ 1 ( mod n ) , then M ( a ; 3, n ) is an infinite family of tetravalent half-arc-transitive Cayley graphs for all integers n except 7 and 14.
