Note as to inclusion-minimal non-Bondy systems

T. J. Kepka, P. C. Nemec, J. D. Phillips

Let $S$ be a finite set, $s=|S|\ge 6$. Given a non-negative integer $t$, there exists an inclusion-minimal non-Bondy system $\mathcal{A}$ of size $t$ on $S$ if and only if $s+1\le t…