Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Mella, Lotrenzo, Rinaldi, Gloria
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7084164640
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