Kirkman frames having hole type h(u)m(1) for small h
We begin an investigation into the spectrum of (non-uniform) Kirkman frames of type h(u) m(1), paying particular attention to the cases where h is an element of {2,4,6,8,10,12}. We show that for each of these values of h the obvious necessary conditions on u, m are sufficient in all but at most 24 cases of (h,u,m).
frames group divisible designs double group divisible designs incomplete group divisible designs