| In this paper we discuss the edge-transitive Zn-covers of Heawood graph, where n is a positive integer. We show none of such covers is semisymmetric and we show that if n is a power of p, where p is a prime, p>19 and p = l(mod3), any such cover is 1-regular. As a result we construct an infinite family of 1-regular cubic graphs. |
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