Recurrence relations and Hilbert series of the monoid associated with star topology
type: Item
instance of: scholarly article
title: Recurrence relations and Hilbert series of the monoid associated with star topology
zbMATH Open document ID: 1489.20024
DOI: 10.1155/2020/5215631
author: Jianghua Tang
author: Zaffar Iqbal
author: Abdul Rauf Nizami
author: Mobeen Munir
author: Faiza Azam
author: Jiabao Liu
published in: Journal of Mathematics
publication date: 2021-01-07T00:00:00Z
review text: Summary: Affine monoids are the considered as natural discrete analogues of the finitely generated cones. The interconnection between these two objects has been an active area of research since last decade. Star network is one of the most common in computer network topologies. In this work, we study star topology \(S_n\) and associate a Coxeter structure of affine type on it. We find a recurrence relation and the Hilbert series of the associated right-angled monoid \(M(S_n^\infty)\). We observe that the growth rate of the monoid \(M(S_n^\infty)\) is unbounded.
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 20F36
zbMATH DE Number: 7290894
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/5215631
OpenAlex ID: W3080219434
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description: scientific article; zbMATH DE number 7290894