G. Rinaldi

activity

20162025

collaborators

4 papers

math.CO2025

Some bounds on the number of non isomorphic cyclic k-cycle systems of the complete graph

Lotrenzo Mella, Gloria Rinaldi

In a recent paper (2024) M. Buratti and M.E:Muzychuck have established some lower bounds on the number of non isomorphic cyclic Steiner Triple Systems of order $v \equiv 1$ (mod $6$ …

math.CO2022

Quaternionic $1 -$ factorizations and complete sets of rainbow spanning trees

Gloria Rinaldi

A $1 -$ factorization of a complete graph on $2 n$ vertices is said to be $G -$ regular if it posseses an automorphism group $G$ acting sharply transitively on the vertex-set. The probl…

math.CO2020

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,…

math.CO2016

Indecomposable $1$ -factorizations of the complete multigraph $λ K_{2 n}$ for every $λ \leq 2 n$

Simona Bonvicini, Gloria Rinaldi

A $1$ -factorization of the complete multigraph $λ K_{2 n}$ is said to be indecomposable if it cannot be represented as the union of $1$ -factorizations of $λ_{0} K_{2 n}$ and $(λ-λ_0) K_…

Some bounds on the number of non isomorphic cyclic k-cycle systems of the complete graph

Quaternionic 1−factorizations and complete sets of rainbow spanning trees

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

Indecomposable 1-factorizations of the complete multigraph λK2n​ for every λ≤2n

Quaternionic $1 -$ factorizations and complete sets of rainbow spanning trees

Indecomposable $1$ -factorizations of the complete multigraph $λ K_{2 n}$ for every $λ \leq 2 n$