Original Research Article

Article volume = 2021 and issue = 2

Pages: 163–171

Article publication Date: November, 1, 2021

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# Mostar Index of Conical and Generalized Gear Graph

#### P. Kandan(a), S. Subramanian(b)

(a)Assistant Professor, PG and Research Department of Mathematics Government Arts College, Chidambaram 608102, India.

(b)Department of Mathematics, Annamalai University Annamalai Nagar 608002, India

##### Abstract:

In theoretical chemistry, topological index play a significant role. Bond-additive index have been utilized more extensively than other topological indices that quantify graph peripherality. In this study, we compute the exact formula of one of the recently introduced bond-additive topological index called Mostar Index to the conical graph C(ℓ, k). Using the result obtained here, we have corrected the result obtained by Colako ˇ glu Havare. Moreover we obtained the Mostar index to the new graph called generalized gear graph C ∗ (ℓ, 2k).

##### Keywords:

Conical graph, Gear graph, Mostar index.

##### References:

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##### Cite this article as:

- P. Kandan, S. Subramanian, Mostar Index of Conical and Generalized Gear Graph, Communications in Combinatorics, Cryptography & Computer Science, 2021(2), PP.163–171, 2021
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