𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Posets with maximal Möbius function

✍ Scribed by Günter M Ziegler

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
872 KB
Volume
56
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Maximizing Möbius functions on subsets o
Maximizing Möbius functions on subsets of Boolean algebras
✍ Bruce E Sagan; Yeong-Nan Yeh; Günter M Ziegler 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 1008 KB

Let 5 be a family of subsets of an n-set, considered as a subposet of the Boolean algebra B.. Adjoin a minimum 0 and maximum i if necessary to form @. Let ~(95) denote the value of the Mdbius function p(6,i) in &. We compute the maximum value of Ip( as 9 ranges over three types of families in B,: lo

Möbius Functions of Lattices
Möbius Functions of Lattices
✍ Andreas Blass; Bruce E. Sagan 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 412 KB

We introduce the concept of a bounded below set in a lattice. This can be used to give a generalization of Rota's broken circuit theorem to any finite lattice. We then show how this result can be used to compute and combinatorially explain the Mo bius function in various examples including non-cross