PARTITION DIMENSION OF BENZENOID SYSTEMS AND HEXAGONAL CACTUS CHAINS

R. Nithya Raj; Mana Donganont; M. Chandrakala; V. Govindan

doi:https://doi.org/10.56827/SEAJMMS.2025.2103.15

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

Volume 21, Issue 3 Pages 239-256 December 30, 2025 1 downloads

Article overview

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 systemhexagonal catus chainspartition resolving setpartition dimension.

AMS Subject Classification

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

Reference information

How to Cite

R. Nithya Raj, Mana Donganont, M. Chandrakala, V. Govindan (2025). PARTITION DIMENSION OF BENZENOID SYSTEMS AND HEXAGONAL CACTUS CHAINS. South East Asian Journal of Mathematics and Mathematical Sciences, 21(3), 239-256.

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