What does this research mean for the field?

The Hosoya index and Merrifield-Simmons index of the benzenoid systems R-n and P-n can be computed using a specific matrix-vector product approach. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to compute the Hosoya and Merrifield-Simmons indices for two special benzenoid systems named R-n and P-n.

March 1, 2026Open Access

Computing the Hosoya and the Merrifield-Simmons indices of two special benzenoid systems

Key Points

The aim is to compute the Hosoya and Merrifield-Simmons indices for two special benzenoid systems named R-n and P-n.
Introduced four vectors for each benzenoid system and index.
Utilized a product of a matrix of degree n and a vector to calculate indices.
Applied established relations from prior literature to derive results.
Successfully computed the Hosoya index for R-n and P-n.
Successfully computed the Merrifield-Simmons index for R-n and P-n.

Abstract

Gutman et al. gave some relations for computing the Hosoya indices of two special benzenoid systems R-n and P-n. In this paper, we compute the Hosoya index and Merrifield-Simmons index of R-n and P-n, by means of introducing four vectors for each benzenoid system and index. As a result, we compute the Hosoya index and the Merrifield-Simmons index of R-n and P-n, by means of a product of a certain matrix of degree n and a certain vector. (C) 2021 University of Kashan Press. All rights reserved

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Cite This Study

Cangül et al. (Fri,) studied this question.

synapsesocial.com/papers/69a3d6eaec16d51705d2d9de https://doi.org/https://doi.org/10.22052/ijmc.2021.243008.1580

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