PARTITION DIMENSION OF BENZENOID SYSTEMS AND HEXAGONAL CACTUS CHAINS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads :

Volume : 21 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2025.2103.15
Author :
R. Nithya Raj (Department of Mathematics and Chemistry, Hindustan Institute of Technology and Science, Chennai - 603103, INDIA)
Mana Donganont (School of Science, University of Phayao, Phayao 56000, THAILAND)
M. Chandrakala (Department of Mathematics and Chemistry, Hindustan Institute of Technology and Science, Chennai - 603103, INDIA)
V. Govindan (Department of Mathematics and Chemistry, Hindustan Institute of Technology and Science, Chennai - 603103, INDIA)

Abstract

This paper determines the partition dimension of selected hexagonal graph structures, namely pericondensed benzenoid systems $R_n$, $B_n$, and hexagonal cactus chains $PC_n$, $OC_n$, and $MC_n$. Using combinatorial techniques, we obtain exact partition dimensions for these classes. Our findings provide valuable insights into their structural properties and have applications in areas such as molecular chemistry and computational biology.

Keywords and Phrases

Pericondensed benzenoid system, hexagonal catus chains, partition resolving set, partition dimension.

A.M.S. subject classification

05C12, 05C90, 05C15, 05C62.

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