Note as to inclusion-minimal non-Bondy systems

Fuente: arXiv
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Hauptverfasser: Kepka, T. J., Nemec, P. C., Phillips, J. D.
Format: Preprint
Veröffentlicht: 2026
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author Kepka, T. J.
Nemec, P. C.
Phillips, J. D.
author_facet Kepka, T. J.
Nemec, P. C.
Phillips, J. D.
contents Let $S$ be a finite set, $s=|S|\ge6$. Given a non-negative integer $t$, there exists an inclusion-minimal non-Bondy system $\mathscr{A}$ of size $t$ on $S$ if and only if $s+1\le t\le2s$.
format Preprint
id arxiv_https___arxiv_org_abs_2602_23907
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Note as to inclusion-minimal non-Bondy systems
Kepka, T. J.
Nemec, P. C.
Phillips, J. D.
Combinatorics
05B99, 06E99
Let $S$ be a finite set, $s=|S|\ge6$. Given a non-negative integer $t$, there exists an inclusion-minimal non-Bondy system $\mathscr{A}$ of size $t$ on $S$ if and only if $s+1\le t\le2s$.
title Note as to inclusion-minimal non-Bondy systems
topic Combinatorics
05B99, 06E99
url https://arxiv.org/abs/2602.23907