Article ID: MTJPAM-D-24-00185

Title: Topological indices of hexagonal chain systems

Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-24-00185; Volume 6 / Issue 3 / Year 2024, Pages 605-615

Document Type: Research Paper

Author(s): Aysun Yurttas Gunes ^a, Hacer Ozden Ayna ^b, Ismail Naci Cangul ^c

^aDepartment of Mathematics, Faculty of Arts and Science, Bursa Uludag University, Gorukle 16059 Bursa-Turkey

^bDepartment of Mathematics, Faculty of Arts and Science, Bursa Uludag University, Gorukle 16059 Bursa-Turkey

^cDepartment of Mathematics, Faculty of Arts and Science, Bursa Uludag University, Gorukle 16059 Bursa-Turkey

Received: 9 November 2024, Accepted: 5 June 2025, Published: 26 December 2025

Corresponding Author: Ismail Naci Cangul (Email address: cangul@uludag.edu.tr)

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Abstract

Many chemical molecules have acyclic structures when modeled by a graph. Most exceptions have hexagonal structure. Therefore, the study of hexagonal structures is rather useful and in this work, we studied one of the important and frequently used structure called as hexagonal chain systems. We calculated several degree based topological indices of these structures first for hexagonal chains, hexagonal double chains and hexagonal triple chains and finalized our calculations with the indices of hexagonal chain systems. At the end, we calculate the numbers of faces of these systems by means of a recently introduced graph invariant called omega.

Keywords: Topological index, hexagonal chain, hexagonal double chain, hexagonal triple chain, hexagonal chain systems, omega invariant

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