Let PG (F qv) be the (v− 1)‐dimensional projective space over F q and let Γ be a simple
graph of order qk− 1 q− 1 for some k. A 2−(v, Γ, λ) design over F q is a collection ℬ of graphs …

We generalize the well‐known Oberwolfach problem posed by Ringel in 1967. We suppose
to have v 2 v2 couples (here v≥ 4 v≥4 is an even integer) and suppose that they have to be …

A Hamiltonian cycle system of (briefly, a HCS (v)) is 1‐rotational under a (necessarily binary)
group G if it admits G as an automorphism group acting sharply transitively on all but one …

A Hamiltonian cycle system of the complete graph minus a $1 $--factor $ K_ {2v}-I $(briefly,
an HCS $(2v) $) is {\it $2 $-pyramidal} if it admits an automorphism group of order $2 v-2 …

Let be the complete graph on v vertices. A Hamiltonian cycle system of odd order v (briefly)
is a set of Hamiltonian cycles of whose edges partition the edge set of. By means of a slight …

It is shown that a necessary condition for an abstract group G to be the full automorphism
group of a Hamiltonian cycle system is that G has odd order or it is either binary, or the affine …