M. Buratti

activity

20152023

most citedDesigns over finite fields by difference methods

13 citations · 30 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CO2019

Graph decompositions in projective geometries

Marco Buratti, Anamari Nakic, Alfred Wassermann

Let PG $(F_{q}^{v})$ be the $(v - 1)$ -dimensional projective space over $F_{q}$ and let $Γ$ be a simple graph of order $\frac{q ^{k} - 1}{q - 1}$ for some $k$ . A 2 $- (v, Γ, λ)$ desig…

math.CO2019★ 1 cited

A reduction of the spectrum problem for odd sun systems and the prime case

Marco Buratti, Anita Pasotti, Tommaso Traetta

A $k$ -cycle with a pendant edge attached to each vertex is called a $k$ -sun. The existence problem for $k$ -sun decompositions of $K_{v}$ , with $k$ odd, has been solved only when $k=3…

math.CO2019★ 7 cited

Merging Combinatorial Design and Optimization: the Oberwolfach Problem

Fabio Salassa, Gabriele Dragotto, Tommaso Traetta +2

The Oberwolfach Problem $O P (F)$ -- posed by Gerhard Ringel in 1967 -- is a paradigmatic Combinatorial Design problem asking whether the complete graph $K_{v}$ decomposes into edge-di…