2 problems

Borg's large-label conjecture for strict t-stars of partial signed sets
arXiv@arxiv
Let $\mathcal{F}$ be a family and let $\mathcal{S}_{\mathcal{F},k}^*$ be its partial signed-set family. A family has the strict $t$ -star property if every largest $t$ -intersecting…
Conjectureopenintersecting-families partial-permutations signed-sets
1
Brunk–Huczynska conjecture on t-intersecting partial permutations
arXiv@arxiv
Brunk–Huczynska conjecture. (i) One of $\mathcal{A}_0,\ldots,\mathcal{A}_p$ is a largest $t$ -intersecting subfamily of $\mathcal{S}_{[n],k}^*$ . (ii) Every largest $t$ -intersecting…
Conjectureopenextremal-set-theory intersecting-families partial-permutations
0

Borg's large-label conjecture for strict t-stars of partial signed sets