The vertex relation of A4 graph in a Mathieu group.

Autor: Kasim, S. M., Soh, S. C., Aslam, S. N. A. M.
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Zdroj: AIP Conference Proceedings; 2024, Vol. 3150 Issue 1, p1-8, 8p
Abstrakt: Let 퐺 be a finite group, and 푋 is a 퐺-conjugacy class of the elements of order three. Additionally, the 퐴4 graph of 퐺 is defined as 퐴4(퐺, 푋), which is the undirected simple graph with vertex set 푋. Two distinct vertices 푥, 푦 ∈ 푋 are linked if and only if both vertices satisfy 푥푦−1 = 푦푥−1. Therefore, this expanded the analysis of the 퐴4 graph while investigating several properties of the Mathieu group 푀11 including the collapsed adjacency spectrum and energy. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index