On Hamilton cycles in cubic (m, n)-metacirculant graphs, II

continue to investigate the problem of the existence of a Hamilton connected cubic (m,n)-metacirculant graphs. We show that a connected cubic (m,n)-metacirculant graph G = MC(m, n, a, So, ,.., has Hamilton cycle if either a 2 == 1 (mod n) or in the case of an odd number f.L one of the numbers (a 1) or a + a 2 _ ... ajJ.-2 + ajJ.-l) relatively to n. As a corollary of results we obtain that every connected cubic ,-UJlet;aClJrCUl1arlt graph has a Hamilton cycle if m and n are integers odd prime divisor of m is not a divisor of where r.p the