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Two combinatorial problems in the plane

✍ Scribed by P. Erdős; G. Purdy

Book ID
110561014
Publisher
Springer
Year
1995
Tongue
English
Weight
111 KB
Volume
13
Category
Article
ISSN
0179-5376

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Two combinatorial problems on posets
Two combinatorial problems on posets
✍ Yair Caro 📂 Article 📅 1996 🏛 Springer Netherlands 🌐 English ⚖ 367 KB

Bialostocki proposed the following problem: Let n 2 k 2 2 be integers such that k/n. Let p(n, k) denote the least positive integer having the property that for every poset P, IPI > p(n, k) and every &coloring f: P + & there exists either a chain or an antichain A, (Al = n and xaEA f(a) = 0 (modk). E