The vertex relation of A 4graph in a Mathieu group
Let G be a finite group, and X is a G-conjugacy class of the elements of order three. Additionally, the A4 graph of G is defined as A4(G, X), which is the undirected simple graph with vertex set X. Two distinct vertices x, y ∈ X are linked if and only if both vertices satisfy xy-1 = yx-1. Therefore,...
| Published in: | AIP Conference Proceedings |
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| Main Author: | |
| Format: | Conference paper |
| Language: | English |
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American Institute of Physics
2024
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85204981302&doi=10.1063%2f5.0228674&partnerID=40&md5=8e7f46f8b0cc482e0cd11db050c02f4b |
| Summary: | Let G be a finite group, and X is a G-conjugacy class of the elements of order three. Additionally, the A4 graph of G is defined as A4(G, X), which is the undirected simple graph with vertex set X. Two distinct vertices x, y ∈ X are linked if and only if both vertices satisfy xy-1 = yx-1. Therefore, this expanded the analysis of the A4 graph while investigating several properties of the Mathieu group M11 including the collapsed adjacency spectrum and energy. © 2024 Author(s). |
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| ISSN: | 0094243X |
| DOI: | 10.1063/5.0228674 |