G. Katona

activity

20042026

most citedLargest family without A union B contained in C intersect D

56 citations · 62 across the 23 of their papers we have counts for

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Showing 2014 · math.COShow all

2 papers · 2 filters

math.CO2014

A coding problem for pairs of subsets

Bela Bollobas, Zoltan Furedi, Ida Kantor +2

Let $X$ be an $n$ --element finite set, $0 < k \leq n /2$ an integer. Suppose that ${A_{1}, A_{2}}$ and ${B_{1}, B_{2}}$ are pairs of disjoint $k$ -element subsets of $X$ (that is, $|A_1|=|A…

math.CO2014

Union-intersecting set systems

Gyula O. H. Katona, Dániel T. Nagy

Three intersection theorems are proved. First, we determine the size of the largest set system, where the system of the pairwise unions is l-intersecting. Then we investigate set s…