I. Roberts

activity

20122023

most citedThe saturation spectrum for antichains of subsets

6 citations · 10 across the 6 of their papers we have counts for

collaborators

Showing 2012Show all

2 papers · 1 filter

math.CO2012

Minimizing the regularity of maximal regular antichains of 2- and 3-sets

Thomas Kalinowski, Uwe Leck, Christian Reiher +1

Let $n ⩾ 3$ be a natural number. We study the problem to find the smallest $r$ such that there is a family $A$ of 2-subsets and 3-subsets of $[n] = {1, 2, ..., n}$ wi…

math.CO2012

Maximal antichains of minimum size

Thomas Kalinowski, Uwe Leck, Ian T. Roberts

Let $n ⩾ 4$ be a natural number, and let $K$ be a set $K \subseteq [n] := 1, 2, ..., n$ . We study the problem to find the smallest possible size of a maximal family $\mathcal{A}…