3 papers
math.CO2019
Cyclic cycle systems of the complete multipartite graph
Andrea Burgess, Francesca Merola, Tommaso Traetta
In this paper, we study the existence problem for cyclic -cycle decompositions of the graph , the complete multipartite graph with parts of size , and give nec…
math.CO2018
Fano Kaleidoscopes and their generalizations
Marco Buratti, Francesca Merola
In this work we introduce Fano Kaleidoscopes, Hesse Kaleidoscopes and their generalizations. These are a particular kind of colored designs for which we will discuss general theory…
math.CO2015
Cyclic hamiltonian cycle systems of the complete multipartite graph: even number of parts
Francesca Merola, Anita Pasotti, Marco Antonio Pellegrini
A hamiltonian cycle system (HCS, for short) of a graph is a partition of the edges of into hamiltonian cycles. A HCS is cyclic when it is invariant under a cyclic permutati…