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Submitted
July 4, 2022
Accepted
February 22, 2023
Published
March 20, 2023
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Abstract

The coprime graph of a finite group was defined by Ma, denoted by ΓG, is a graph with vertices that are all elements of group G and two distinct vertices x and y are adjacent if and only if (|x|, |y|) = 1. In this study, we discuss numerical invariants of a generalized quaternion group. The numerical invariant is a property of a graph in numerical value and that value is always the same on an isomorphic graph. This research is fundamental research and analysis based on patterns in some examples. Some results of this research are the independence number of ΓQ4n is 4n − 1 or 3n and its complement metric dimension is 4n − 2 for each n ≥ 2.

Keywords

coprime graph Generalized quarternion group Numerical invariants

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How to Cite
Nurhabibah, N., Wardhana, I. G. A. W., & Switrayni, N. W. (2023). Numerical Invariants of Coprime Graph of A Generalized Quaternion Group. Journal of the Indonesian Mathematical Society, 29(1), 36–44. https://doi.org/10.22342/jims.29.1.1245.36-44
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