f-vectors of acyclic complexes
type: Item
instance of: scholarly article
title: f-vectors of acyclic complexes
zbMATH Open document ID: 0579.57015
DOI: 10.1016/S0012-365X(85)80024-8
author: Gil Kalai
published in: Discrete Mathematics
publication date: 1985-01-01T00:00:00Z
review text: For a finite simplicial complex C and for \(k\geq -1\) denote \(f_ k(C)=\{S\in C:\) \(| S| =k+1\}\). The vector \(f(C)=(f_ 0(C),f_ 1(C),...)\) is the f-vector of C. The purpose of this note is to present a characterization of f-vectors of (finite) acyclic simplicial complexes. The characterization is by one well-known relation \(\chi (C)=1\) and a system of inequalities.
Mathematics Subject Classification ID: 57Q99
Mathematics Subject Classification ID: 55U15
Mathematics Subject Classification ID: 57R20
zbMATH DE Number: 3927924
zbMATH Keywords: Euler characteristic
zbMATH Keywords: f-vectors
zbMATH Keywords: acyclic simplicial complexes
MaRDI profile type: Publication
cites work: Q5645435
cites work: Q4097291
cites work: Enumeration of \({\mathbb{Q}}\)-acyclic simplicial complexes
cites work: Characterization of f-vectors of families of convex sets in \({\mathbb{R}}^ d\). I: Necessity of Eckhoff's conditions
cites work: Q4071752
cites work: Q5726070
cites work: Q5605151
full work available at URL: s0012-365x(85)80024-8
OpenAlex ID: W2051820162
description: scientific article; zbMATH DE number 3927924