Maximizing the Möbius function of a poset and the sum of the Betti numbers of the order complex
type: Item
instance of: scholarly article
title: Maximizing the Möbius function of a poset and the sum of the Betti numbers of the order complex
zbMATH Open document ID: 0951.06004
author: Dmitry N. Kozlov
published in: Combinatorica
publication date: 2000-11-13T00:00:00Z
review text: The author is concerned with the following question: when does the absolute value of the Möbius function, defined on different classes of partially ordered sets, take its maximum? A sharp upper bound is given for this in the class of posets of bounded width and a classification is given of the posets which take this bound. A sharp bound for the sum of the Betti numbers for the order complexes of posets is given.
reviewed by: Tamás Schmidt
Mathematics Subject Classification ID: 06A07
Mathematics Subject Classification ID: 05D99
Mathematics Subject Classification ID: 05E25
zbMATH DE Number: 1528643
zbMATH Keywords: poset
zbMATH Keywords: Betti number
MaRDI profile type: Publication
full work available at URL: s004939970005
OpenAlex ID: W2054020475
DOI: 10.1007/S004939970005
description: scientific article; zbMATH DE number 1528643