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Inverse Sum Indeg Index (Energy) with Applications to Anticancer Drugs

Author

Listed:
  • Alaa Altassan

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Bilal Ahmad Rather

    (Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain 15551, United Arab Emirates)

  • Muhammad Imran

    (Department of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain 15551, United Arab Emirates)

Abstract

For a simple graph with vertex set { v 1 , v 2 , … , v n } with degree sequence d v i of vertex v i , i = 1 , 2 , … , n , the inverse sum indeg matrix ( I S I -matrix) A I S I ( G ) = ( a i j ) n × n of G is defined by a i j = d v i d v j d v i + d v j , if v i is adjacent to v j , and zero, otherwise. The multiset of eigenvalues of A I S I ( G ) is the I S I -spectrum of G and the sum of their absolute values is the I S I -energy of G . In this paper, we modify the two results of (Li, Ye and Broersma, 2022), give the correct characterization of the extremal graphs and thereby obtain better bounds than the already known results. Moreover, we also discuss the QSPR analysis and carry the statistical modelling (linear, logarithmic and quadratic) of the physicochemical properties of anticancer drugs with the I S I -index (energy).

Suggested Citation

  • Alaa Altassan & Bilal Ahmad Rather & Muhammad Imran, 2022. "Inverse Sum Indeg Index (Energy) with Applications to Anticancer Drugs," Mathematics, MDPI, vol. 10(24), pages 1-13, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4749-:d:1003146
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    Cited by:

    1. Alaa Altassan & Muhammad Imran, 2023. "Generalized Quasi Trees with Respect to Degree Based Topological Indices and Their Applications to COVID-19 Drugs," Mathematics, MDPI, vol. 11(3), pages 1-11, January.

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