t-expansive andt-wise intersecting hypergraphs

Maximal s-Wise t-Intersecting Families o

Maximal s-Wise t-Intersecting Families of Sets: Kernels, Generating Sets, and Enumeration

✍ Lucia Moura 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 239 KB

For fixed s, n, k, and t, let I s (n, k, t) denote the set of all such families. A family A # I s (n, k, t) is said to be maximal if it is not properly contained in any other family in I s (n, k, t). We show that for fixed s, k, t, there is an integer n 0 =n 0 (k, s, t), for which the maximal famili