Lethbridge Number Theory and Combinatorics Seminar: Dave Morris

For every generating set S of any finite group G, there is a corresponding Cayley graph Cay(G;S). It was conjectured in the early 1970's that Cay(G;S) always has a hamiltonian cycle, but there has been very little progress on this problem. Joint work with Kirsten Wilk has established the conjecture in the special case where the order of G is kp, with k 48 and p prime. This was not previously known for values of k in the set {24, 32, 36, 40, 42, 45}.