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arXiv · 2509.24015

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

Lotrenzo Mella·Gloria Rinaldi
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Abstract

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 $6$). We complete their result to the case $v\equiv 3$ (mod $6$). For each odd $k > 3$ we also find lower bounds for the number of non isomorphic cyclic $k$-cycle systems of a complete graph.

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Lotrenzo Mella, Gloria Rinaldi. 2025-09-28. Some bounds on the number of non isomorphic cyclic k-cycle systems of the complete graph. https://arxiv.org/abs/2509.24015

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