... pair of distinct triples of T share the vertex 0, we can pair the elements of T to f orm (v − 1)/12 distinct bowtieswith centre 0. We denote by R the set of (v − 1)/12 distinct bowties of Kvwhich ... ∈ {1, . . . ,k2}. In otherwords, for every pair of distinctk2–cycles of g we find k/2 distinct representatives. Since the number of pairs of distinctk2–cycles of g is pk2(pk2−1)/2, ... g–orbits of edges. In other words, every pair of cycles of g of length k1, k2, with (k1, k2) ∈ J, gives gcd(k1, k2) distinct representatives. Since the number of cycles of g of length...