6 papers
Shiftable Heffter spaces
Marco Buratti, Anita Pasotti
The shiftable Heffter arrays are naturally generalized to the shiftable Heffter spaces. We present a recursive construction which starting from a single shiftable Heffter space lea…
More Heffter Spaces via finite fields
Marco Buratti, Anita Pasotti
A Heffter space is a resolvable configuration whose points form a half-set of an abelian group and whose blocks are all zero-sum in . It was recently p…
Nestings of BIBDs with block size four
Marco Buratti, Donald L. Kreher, Douglas R. Stinson
In a nesting of a balanced incomplete block design (or BIBD), we wish to add a point (the \emph{nested point}) to every block of a -BIBD in such a way that we end up with…
Additivity of symmetric and subspace designs
Marco Buratti, Anamari Nakic
A - design is additive (or strongly additive) if it is possible to embed it in a suitable abelian group in such a way that its block set is contained in (or coincid…
Partitioned difference families and harmonious linear spaces
Marco Buratti, Dieter Jungnickel
We say that a linear space is harmonious if it is resolvable and admits an automorphism group acting sharply transitively on the points and transitively on the parallel classes. Ge…
On the full automorphism group of a Hamiltonian cycle system of odd order
Marco Buratti, Graham J. Lovegrove, Tommaso Traetta
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 th…