2018
DOI: 10.1080/10406638.2017.1411958
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Topological Indices and Their Applications to Circumcised Donut Benzenoid Systems, Kekulenes and Drugs

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Cited by 90 publications
(86 citation statements)
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“…A strength‐weighted graph [ 25 ] G sw = ( G , SW V , SW E ) is a graph G in which the vertex and edge set are assigned a pair of strength‐weighted functions ( SW V , SW E ) defined as follows: SW V = ( w v , s v ), where wv,sv:V()Gitalicsw0+ are vertex weight and strength functions, SW E = ( w e , s e ), where we,se:E()Gitalicsw0+ are edge weight and strength functions. …”
Section: Mathematical Preliminariesmentioning
confidence: 99%
“…A strength‐weighted graph [ 25 ] G sw = ( G , SW V , SW E ) is a graph G in which the vertex and edge set are assigned a pair of strength‐weighted functions ( SW V , SW E ) defined as follows: SW V = ( w v , s v ), where wv,sv:V()Gitalicsw0+ are vertex weight and strength functions, SW E = ( w e , s e ), where we,se:E()Gitalicsw0+ are edge weight and strength functions. …”
Section: Mathematical Preliminariesmentioning
confidence: 99%
“…The first multiplicative atom-bond connectivity index of critical drug structures, like alkene, cycloalkenes, dendrimers, benzenoid systems, and phenylenes were analyzed by these researchers ( Gao et al, 2017b ). Weiner related indices for coronoid and kekulenes structures were reported by Arockiaraj et al (2018) . Very recently, several topological indices of COVID-19 based drugs such as remdesivir, chloroquine, hydroxychloroquine and theaflavin have been investigated ( Mondal et al, 2020 ).…”
Section: Introductionmentioning
confidence: 99%
“…For more detail and theory about Banhatti indices, we refer the articles in [2,5,[16][17][18][19][20]24]. A huge amount of valency based topological indices and polynomials, defined and studied by various researchers, can be found in the literature (see [1,3,6,8,13,21,22,26] and the references therein). In this paper, our first aim is to further extend the theory of Banhatti indices by defining four Banhatti polynomials.…”
Section: Introductionmentioning
confidence: 99%
“…In this paper, our first aim is to further extend the theory of Banhatti indices by defining four Banhatti polynomials. Moreover, we establish a few relationships of Banhatti indices, defined in (5) and (6), with the indices provided in (2), (3) and (4). Our second aim is to compute those valency based topological indices which can be determined by using the established relationships.…”
Section: Introductionmentioning
confidence: 99%