The M-polynomial of Schreier Graphs of the Basilica and Grigorchuk Groups: Comparative Evaluation

The M-polynomial of Schreier Graphs of the Basilica and Grigorchuk Groups: Comparative Evaluation

A focus for comprehending the complex structures present in self-similar groups has been the study of Schreier graphs related to the Basilica and Grigorchuk group in recent years. Basic to group theory, Schreier graphs give a geometric picture of these groups’ actions on sets and shed light on the c...

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Published in:Communications on Applied Nonlinear Analysis
Main Author: Rajkumar V.; Sivakumar B.; Idayu Alimon N.
Format: Article
Language:English
Published: International Publications 2024
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85200034160&doi=10.52783%2fcana.v31.788&partnerID=40&md5=7dd8b26c8ddecda43c0260c77e4cacdb
id 2-s2.0-85200034160
spelling 2-s2.0-85200034160
Rajkumar V.; Sivakumar B.; Idayu Alimon N.
The M-polynomial of Schreier Graphs of the Basilica and Grigorchuk Groups: Comparative Evaluation
2024
Communications on Applied Nonlinear Analysis
31
3S
10.52783/cana.v31.788
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85200034160&doi=10.52783%2fcana.v31.788&partnerID=40&md5=7dd8b26c8ddecda43c0260c77e4cacdb
A focus for comprehending the complex structures present in self-similar groups has been the study of Schreier graphs related to the Basilica and Grigorchuk group in recent years. Basic to group theory, Schreier graphs give a geometric picture of these groups’ actions on sets and shed light on the connectivity and symmetry characteristics of these groups. This paper examines the M-polynomial of Schreier graphs of the Basilica and Grigorchuk groups, examining its consequences for topological indices and comparing the determined values. © 2024, International Publications. All rights reserved.
International Publications
1074133X
English
Article
All Open Access; Bronze Open Access
author Rajkumar V.; Sivakumar B.; Idayu Alimon N.
spellingShingle Rajkumar V.; Sivakumar B.; Idayu Alimon N.
The M-polynomial of Schreier Graphs of the Basilica and Grigorchuk Groups: Comparative Evaluation
author_facet Rajkumar V.; Sivakumar B.; Idayu Alimon N.
author_sort Rajkumar V.; Sivakumar B.; Idayu Alimon N.
title The M-polynomial of Schreier Graphs of the Basilica and Grigorchuk Groups: Comparative Evaluation
title_short The M-polynomial of Schreier Graphs of the Basilica and Grigorchuk Groups: Comparative Evaluation
title_full The M-polynomial of Schreier Graphs of the Basilica and Grigorchuk Groups: Comparative Evaluation
title_fullStr The M-polynomial of Schreier Graphs of the Basilica and Grigorchuk Groups: Comparative Evaluation
title_full_unstemmed The M-polynomial of Schreier Graphs of the Basilica and Grigorchuk Groups: Comparative Evaluation
title_sort The M-polynomial of Schreier Graphs of the Basilica and Grigorchuk Groups: Comparative Evaluation
publishDate 2024
container_title Communications on Applied Nonlinear Analysis
container_volume 31
container_issue 3S
doi_str_mv 10.52783/cana.v31.788
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85200034160&doi=10.52783%2fcana.v31.788&partnerID=40&md5=7dd8b26c8ddecda43c0260c77e4cacdb
description A focus for comprehending the complex structures present in self-similar groups has been the study of Schreier graphs related to the Basilica and Grigorchuk group in recent years. Basic to group theory, Schreier graphs give a geometric picture of these groups’ actions on sets and shed light on the connectivity and symmetry characteristics of these groups. This paper examines the M-polynomial of Schreier graphs of the Basilica and Grigorchuk groups, examining its consequences for topological indices and comparing the determined values. © 2024, International Publications. All rights reserved.
publisher International Publications
issn 1074133X
language English
format Article
accesstype All Open Access; Bronze Open Access
record_format scopus
collection Scopus
_version_ 1812871796823687168

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