Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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ON $P_3$-DEGREE BASED TOPOLOGICAL DESCRIPTORS OF CHOLESTEROL

Authors

  • H. M. Latharani
  • V. Thukarama
  • D. Soner Nandappa

Keywords:

P_3-degree, Zagreb indices, multiple Zagreb indices, augmented Zagreb index, cholesterol.

DOI:

https://doi.org/10.17654/0974165825016

Abstract

In this paper, we compute the $P_3$-first Zagreb index, $P_3$-second Zagreb index, $P_3$-first multiple Zagreb index, $P_3$-second multiple Zagreb index, $P_3$-augmented Zagreb index, $P_3$-harmonic index and $P_3$-hyper Zagreb index of cholesterol.

Received: July 13, 2024;
Revised: November 21, 2024;
Accepted: December 4, 2024

References

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S. Ebrahim, On -degree of graphs, J. Comb. Mathematics and Computing 62 (2007), 45-51.

B. Furtula, A. Graovac and D. Vukicevic, Augmented Zagreb index, J. of Mathematical Chemistry 48 (2010), 370-380.

M. Ghorbani and N. Azimi, Note on multiple Zagreb indices, Iranian J. of Mathematical Chemistry 3(2) (2012), 137-143.

I. Gutman and N. Trinajstic, Graph theory and molecular orbitals, Total -Electron Energy of Alternant Hydrocarbons, Chemical Physics Letters 17(4) (1972), 535-538.

F. Harary, Graph theory, Addition-Wesley, Reading, MA, 1969.

W. L. Kocay, On reconstructing degree sequence, Utilitas Mathematica 17 (1980), 151-162.

M. R. Rajesh Kanna, R. Pradeep Kumar and D. Soner Nandappa, Some topological indices of cholesterol, Int. J. of Applied Mathematics 30(1) (2017), 73-83.

G. H. Shirdel, H. Rezapour and A. M. Sayadi, The Hyper-Zagreb index of Graph Operations, Iranian J. of Mathematical Chemistry 4(2) (2013), 213-220.

L. Zhong, The harmonic index on graphs, Applied Mathematics Letters 25 (2012), 561-566.

Published

2025-01-06

Issue

Section

Articles

How to Cite

ON $P_3$-DEGREE BASED TOPOLOGICAL DESCRIPTORS OF CHOLESTEROL. (2025). Advances and Applications in Discrete Mathematics, 42(3), 235-252. https://doi.org/10.17654/0974165825016

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