On the order divisor graphs of dihedral groups

Bawana, Agista Surya and Susanti, Yeni (2024) On the order divisor graphs of dihedral groups. In: 9th SEAMS-UGM International Conference on Mathematics and its Applications 2023: Integrating Mathematics with Artificial Intelligence to Broaden its Applicability through Industrial Collaborations, 25 July 2023through 28 July 2023, Yogyakarta.

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Abstract

Consider a finite group G. An order divisor graph of G is a graph whose vertices are the elements of G. Two distinct vertices x and y are adjacent if and only if their orders are different and one divides the other. In this article, girth and domination number of order divisor graph are investigated. Moreover, we discuss the structure, chromatic numbers, and independence numbers associated with the order divisor graph of a dihedral group.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Graphs; groups
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Mathematics and Natural Sciences > Mathematics Department
Depositing User: Wiyarsih Wiyarsih
Date Deposited: 06 Mar 2025 06:43
Last Modified: 06 Mar 2025 06:43
URI: https://ir.lib.ugm.ac.id/id/eprint/15612

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