Generalized Quasi Trees with Respect to Degree Based Topological Indices and Their Applications to COVID-19 Drugs

Alaa Altassan; Muhammad Imran

doi:10.3390/math11030647

Generalized Quasi Trees with Respect to Degree Based Topological Indices and Their Applications to COVID-19 Drugs

Alaa Altassan, Muhammad Imran

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The l-generalized quasi tree is a graph G for which we can find (Formula presented.) with (Formula presented.) such that (Formula presented.) is a tree but for an arbitrary (Formula presented.) with (Formula presented.), (Formula presented.) is not a tree. In this paper, inequalities with respect to zeroth-order Randić and hyper-Zagreb indices are studied in the class of l-generalized quasi trees. The corresponding extremal graphs corresponding to these indices in the class of l-generalized quasi trees are also obtained. In addition, we carry QSPR analysis of COVID-19 drugs with zeroth-order Randić and hyper-Zagreb indices (energy).

Original language	English
Article number	647
Journal	Mathematics
Volume	11
Issue number	3
DOIs	https://doi.org/10.3390/math11030647
Publication status	Published - Feb 2023

Keywords

hyper-Zagreb index
l-generalized quasi trees
zeroth-order Randić index

ASJC Scopus subject areas

Computer Science (miscellaneous)
General Mathematics
Engineering (miscellaneous)

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10.3390/math11030647

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title = "Generalized Quasi Trees with Respect to Degree Based Topological Indices and Their Applications to COVID-19 Drugs",

abstract = "The l-generalized quasi tree is a graph G for which we can find (Formula presented.) with (Formula presented.) such that (Formula presented.) is a tree but for an arbitrary (Formula presented.) with (Formula presented.), (Formula presented.) is not a tree. In this paper, inequalities with respect to zeroth-order Randi{\'c} and hyper-Zagreb indices are studied in the class of l-generalized quasi trees. The corresponding extremal graphs corresponding to these indices in the class of l-generalized quasi trees are also obtained. In addition, we carry QSPR analysis of COVID-19 drugs with zeroth-order Randi{\'c} and hyper-Zagreb indices (energy).",

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T1 - Generalized Quasi Trees with Respect to Degree Based Topological Indices and Their Applications to COVID-19 Drugs

AU - Altassan, Alaa

AU - Imran, Muhammad

PY - 2023/2

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N2 - The l-generalized quasi tree is a graph G for which we can find (Formula presented.) with (Formula presented.) such that (Formula presented.) is a tree but for an arbitrary (Formula presented.) with (Formula presented.), (Formula presented.) is not a tree. In this paper, inequalities with respect to zeroth-order Randić and hyper-Zagreb indices are studied in the class of l-generalized quasi trees. The corresponding extremal graphs corresponding to these indices in the class of l-generalized quasi trees are also obtained. In addition, we carry QSPR analysis of COVID-19 drugs with zeroth-order Randić and hyper-Zagreb indices (energy).

AB - The l-generalized quasi tree is a graph G for which we can find (Formula presented.) with (Formula presented.) such that (Formula presented.) is a tree but for an arbitrary (Formula presented.) with (Formula presented.), (Formula presented.) is not a tree. In this paper, inequalities with respect to zeroth-order Randić and hyper-Zagreb indices are studied in the class of l-generalized quasi trees. The corresponding extremal graphs corresponding to these indices in the class of l-generalized quasi trees are also obtained. In addition, we carry QSPR analysis of COVID-19 drugs with zeroth-order Randić and hyper-Zagreb indices (energy).

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KW - zeroth-order Randić index

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Generalized Quasi Trees with Respect to Degree Based Topological Indices and Their Applications to COVID-19 Drugs

Abstract

Keywords

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