Recurrence Relations and Hilbert Series of the Monoid Associated with Star Topology
Joint Authors
Liu, Jia-Bao
Munir, Mobeen
Tang, Jiang-Hua
Iqbal, Zaffar
Nizami, Abdul Rauf
Azam, Faiza
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-27
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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 Sn 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 MSn∞.
We observe that the growth rate of the monoid MSn∞ is unbounded.
American Psychological Association (APA)
Tang, Jiang-Hua& Iqbal, Zaffar& Nizami, Abdul Rauf& Munir, Mobeen& Azam, Faiza& Liu, Jia-Bao. 2020. Recurrence Relations and Hilbert Series of the Monoid Associated with Star Topology. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1188074
Modern Language Association (MLA)
Tang, Jiang-Hua…[et al.]. Recurrence Relations and Hilbert Series of the Monoid Associated with Star Topology. Journal of Mathematics No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1188074
American Medical Association (AMA)
Tang, Jiang-Hua& Iqbal, Zaffar& Nizami, Abdul Rauf& Munir, Mobeen& Azam, Faiza& Liu, Jia-Bao. Recurrence Relations and Hilbert Series of the Monoid Associated with Star Topology. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1188074
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188074
