Central Delannoy numbers and balanced Cohen-Macaulay complexes
type: Item
instance of: scholarly article
title: Central Delannoy numbers and balanced Cohen-Macaulay complexes
zbMATH Open document ID: 1116.13017
published in: Annals of Combinatorics
publication date: 2007-05-24T00:00:00Z
review text: The main goal of the present paper is to introduce a new join operation on colored simplicial complexes. By using this there are constructed balanced simplicial complexes as the balanced join of a balanced complex and a simplex such that the \(h\)-vector of the join is the \(f\)-vector of the original colored complex. The main result of the paper is Theorem 5.3, which states that the balanced join of two balanced Cohen-Macaulay simplicial complexes is Cohen-Macaulay. On the other hand, there is given an interesting example of the above operation. This establishes a connection between the well-known central Delannoy numbers and Legendre polynomials in a wider context.
Mathematics Subject Classification ID: 13F55
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 16E65
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 5156890
zbMATH Keywords: balanced simplicial complex
zbMATH Keywords: Delannoy numbers
zbMATH Keywords: Cohen-Macaulay property
reviewed by: Marius Tărnăuceanu
describes a project that uses: OEIS
MaRDI profile type: Publication
full work available at URL: s00026-006-0299-1
OpenAlex ID: W2041074569
DOI: 10.1007/S00026-006-0299-1
author: Gabor Hetyei
description: scientific article; zbMATH DE number 5156890