Original Research Article

Article volume = 2023 and issue = 2

Pages: 156–163

Article publication Date: November 25, 2023

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# SMP-Polynomial and Topological Indices of Phenacenes

#### Zohreh Rajabinejad and Saeed Mohammadian Semnani

Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran.

##### Abstract:

Phenacenes are a group of organic compounds that consist of fused aromatic rings. They also follow the general molecular formula C4n+2H2n+4. In this article, we compute the SMP polynomial for phenacenes with even and odd numbers of rings. Then, through these polynomials, we obtain general formulas for topological indices based on distances such as Sz, PI, and Mo. Using these formulas does not require counting the edges, and these indices are calculated according to the number of benzene rings in phenacenes. We display the obtained results numerically and graphically and compare topological indices graphically.

##### Keywords:

SMP-polynomial; Szeged index; Mostar index; PI index; Phenacenesore.

##### References:

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##### Cite this article as:

- Zohreh Rajabinejad and Saeed Mohammadian Semnani, SMP-Polynomial and Topological Indices of Phenacenes, Communications in Combinatorics, Cryptography & Computer Science, 2023(2), PP.156–163, 2023
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