7 citations · 8 across the 4 of their papers we have counts for
5 papers
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,…
Indecomposable -factorizations of the complete multigraph for every
Simona Bonvicini, Gloria Rinaldi
A -factorization of the complete multigraph is said to be indecomposable if it cannot be represented as the union of -factorizations of and $(λ-λ_0) K_…
Octahedral, dicyclic and special linear solutions of some unsolved Hamilton-Waterloo problems
Simona Bonvicini, Marco Buratti
We give a sharply-vertex-transitive solution of each of the nine Hamilton-Waterloo problems left open by Danziger, Quattrocchi and Stevens.
A novel characterization of cubic Hamiltonian graphs via the associated quartic graphs
Simona Bonvicini, Tomaž Pisanski
We give a necessary and sufficient condition for a cubic graph to be Hamiltonian by analyzing Eulerian tours in certain spanning subgraphs of the quartic graph associated with the…
Covering cubic graphs with matchings of large size
Simona Bonvicini, Giuseppe Mazzuoccolo
Let m be a positive integer and let G be a cubic graph of order 2n. We consider the problem of covering the edge-set of G with the minimum number of matchings of size m. This numbe…