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Resize result involution graphs of some finite groups
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The resize result involution graph of a finite group , is a simple undirected graph whose vertices are the conjugacy classes of and two distinct vertices are adjacent if their representative product is a non-trivial involution. In this paper, we describe an algorithm to obtain the resize result involution graphs. Also, we prove that the resize result involution graphs for , , the Janko groups , the Held group and the exceptional group 2 are connected with diameter at most and girth . We find some properties of the resize result involution graphs. The properties of these graphs are obtained by using GAP and YAGs packages.
Salahaddin University - Erbil
Title: Resize result involution graphs of some finite groups
Description:
The resize result involution graph of a finite group , is a simple undirected graph whose vertices are the conjugacy classes of and two distinct vertices are adjacent if their representative product is a non-trivial involution.
In this paper, we describe an algorithm to obtain the resize result involution graphs.
Also, we prove that the resize result involution graphs for , , the Janko groups , the Held group and the exceptional group 2 are connected with diameter at most and girth .
We find some properties of the resize result involution graphs.
The properties of these graphs are obtained by using GAP and YAGs packages.
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