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Quasi-Differential Posets and Cover Functions of Distributive Lattices II: A Problem in Stanley’sEnumerative Combinatorics

✍ Scribed by Jonathan David Farley


Publisher
Springer Japan
Year
2003
Tongue
English
Weight
450 KB
Volume
19
Category
Article
ISSN
0911-0119

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Quasi-Differential Posets and Cover Func
✍ Jonathan David Farley 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 532 KB

A distributive lattice L with 0 is finitary if every interval is finite. A function f : N 0 Ä N 0 is a cover function for L if every element with n lower covers has f (n) upper covers. In this paper, all finitary distributive lattices with non-decreasing cover functions are characterized. A 1975 con