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Characterization of commuting graphs of finite groups having small genus

Characterization of commuting graphs of finite groups having small genus

In this paper we first show that among all double-toroidal and triple-toroidal finite graphs only \(K_8 \sqcup 9K_1\), \(K_8 \sqcup 5K_2\), \(K_8 \sqcup 3K_4\), \(K_8 \sqcup 9K_3\), \(K_8\sqcup 9(K_1 \vee 3K_2)\), \(3K_6\) and \(3K_6 \sqcup 4K_4 \sqcup 6K_2\) can be realized as commuting graphs of f...

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Bibliographic Details
Main Authors: Das, Shrabani, Nongsiang, Deiborlang, Nath, Rajat Kanti
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2024
Subjects:
commuting graph
genus
planar graph
double-toroidal
triple-toroidal
20D60
05C25
05C09
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2211
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