T. Traetta

activity

20182026

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Showing 2019Show all

2 papers · 1 filter

math.CO2019

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

Cyclic cycle systems of the complete multipartite graph

Andrea Burgess, Francesca Merola, Tommaso Traetta

In this paper, we study the existence problem for cyclic $ℓ$ -cycle decompositions of the graph $K_{m} [n]$ , the complete multipartite graph with $m$ parts of size $n$ , and give nec…