On co-maximal subgroup graph of $Z_n$

	On co-maximal subgroup graph of $Z_n$
International Journal of Group Theory
مقاله 7، دوره 11، شماره 4، اسفند 2022، صفحه 221-228 اصل مقاله (403.18 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2021.129788.1732
نویسندگان
Manideepa Saha؛ Sucharita Biswas؛ Angsuman Das^*
Department of Mathematics, Presidency University, Kolkata
چکیده
The co-maximal subgroup graph $\Gamma(G)$ of a group $G$ is a graph whose vertices are non-trivial proper subgroups of $G$ and two vertices $H$ and $K$ are adjacent if $HK = G$‎. ‎In this paper‎, ‎we study and characterize various properties like diameter‎, ‎domination number‎, ‎perfectness‎, ‎hamiltonicity‎, ‎etc‎. ‎of $\Gamma(\mathbb{Z}_n)$
کلیدواژه‌ها
hamiltonicity؛ isomorphism؛ perfect graph

مراجع
[1] S. Akbari, B. Miraftab and R. Nikandish, Co-maximal Graphs of Subgroups of Groups, Canad. Math. Bull., 60 (2017) 12–25. [2] P. J. Cameron, Graphs defined on groups, Int. J. Group Theory, Article in Press. https://ijgt.ui.ac.ir/article_25608.html. [3] A. Das, M. Saha and S. Alkaseasbeh, On Co-Maximal Subgroup Graph of a Group, https://arxiv.org/pdf/2103.14284.pdf [4] B. Miraftab and R. Nikandish, Co-maximal Graphs of Two Generator Groups, J. Algebra Appl., 18 (2019) pp. 13.
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