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...
| Published in: | Communications on Applied Nonlinear Analysis |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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International Publications
2024
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85200034160&doi=10.52783%2fcana.v31.788&partnerID=40&md5=7dd8b26c8ddecda43c0260c77e4cacdb |
| Summary: | 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. |
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| ISSN: | 1074133X |
| DOI: | 10.52783/cana.v31.788 |