CONNECTIVITY INDICES OF COPRIME GRAPH OF GENERALIZED QUATERNION GROUP

Siti Zahidah, Dwi Mifta Mahanani, Karine Lutfiah Oktaviana

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Generalized quaternion group (Q4n) is a group of order 4n that is generated by two elements x and y with the properties x2n = y4 = e and xy = yx−1. The coprime graph of Q4n, denoted by ΩQ4n, is a graph with the vertices are elements of Q4n and the edges are formed by two elements that have coprime order. The first result of this paper presents that ΩQ4n is a tripartite graph for n is an odd prime and ΩQ4n is a star graph for n is a power of 2. The second one presents the connectivity indices of ΩQ4n. Connectivity indices of a graph is a research area in mathematics that popularly applied in chemistry. There are six indices that are presented in this paper, those are first Zagreb index, second Zagreb index, Wiener index, hyper-Wiener index, Harary index, and Szeged index.

Original languageEnglish
Pages (from-to)285-296
Number of pages12
JournalJournal of the Indonesian Mathematical Society
Volume27
Issue number3
DOIs
Publication statusPublished - 2 Dec 2021

Keywords

  • Generalized quaternion group
  • Harary index
  • Szeged index
  • Wiener indices
  • Zagreb indices

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