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.

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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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