1 citations · 1 across the 3 of their papers we have counts for
12 papers
Partitioned difference families: the storm has not yet passed
Marco Buratti, Dieter Jungnickel
Two years ago, we alarmed the scientific community about the large number of bad papers in the literature on {\it zero difference balanced functions}, where direct proofs of seemin…
The first families of highly symmetric Kirkman Triple Systems whose orders fill a congruence class
Simona Bonvicini, Marco Buratti, Martino Garonzi +2
Kirkman triple systems (KTSs) are among the most popular combinatorial designs and their existence has been settled a long time ago. Yet, in comparison with Steiner triple systems,…
New Results on Modular Golomb Rulers, Optical Orthogonal Codes and Related Structures
Marco Buratti, Douglas R. Stinson
We prove new existence and nonexistence results for modular Golomb rulers in this paper. We completely determine which modular Golomb rulers of order exist, for all ,…
On Resolvable Golomb Rulers, Symmetric Configurations and Progressive Dinner Parties
Marco Buratti, Douglas R. Stinson
We define a new type of Golomb ruler, which we term a resolvable Golomb ruler. These are Golomb rulers that satisfy an additional "resolvability" condition that allows them to gene…
Graph decompositions in projective geometries
Marco Buratti, Anamari Nakic, Alfred Wassermann
Let PG be the -dimensional projective space over and let be a simple graph of order for some . A 2 desig…
A reduction of the spectrum problem for odd sun systems and the prime case
Marco Buratti, Anita Pasotti, Tommaso Traetta
A -cycle with a pendant edge attached to each vertex is called a -sun. The existence problem for -sun decompositions of , with odd, has been solved only when $k=3…