Search Results for author: Marco Buratti

Found 2 papers, 1 papers with code

The first families of highly symmetric Kirkman Triple Systems whose orders fill a congruence class

no code implementations4 Dec 2020 Simona Bonvicini, Marco Buratti, Martino Garonzi, Gloria Rinaldi, Tommaso Traetta

In particular, there is no known congruence class representing the orders of a KTS with a number of automorphisms at least close to the number of points.

Combinatorics Group Theory 05B07, 20B25

Merging Combinatorial Design and Optimization: the Oberwolfach Problem

1 code implementation28 Mar 2019 Fabio Salassa, Gabriele Dragotto, Tommaso Traetta, Marco Buratti, Federico Della Croce

The Oberwolfach Problem $OP(F)$, posed by Gerhard Ringel in 1967, is a paradigmatic Combinatorial Design problem asking whether the complete graph $K_v$ decomposes into edge-disjoint copies of a $2$-regular graph $F$ of order $v$.

Combinatorics

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