The  and -Analogs of Zagreb Indices and Coindices of Graphs

The forgotten topological index is defined as the sum of cubes of the degrees of the vertices of the molecular graph G. In this paper, we obtain, analyze, and compare various lower bounds for the forgotten topological index involving the number of vertices, edges, and maximum and minimum vertex degree. Then we give Nordhaus-Gaddumtype inequalities for the forgotten topological index and coindex. Finally, we correct the number of extremal chemical trees on 15 vertices.

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“…One of the present authors with Song gave the relation for the first general Zagreb index and its coindex [17]. …”

Section: Remark 320 Using the Cauchy-schwartz Inequality It Is Easymentioning

confidence: 99%

On the bounds of the forgotten topological index

Elumalai¹,

Mansour²,

Rostami³

2017

Turk J Math

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“…The redefined third Zagreb index was also independently defined by Mansour and Song [3], and the generalized version was manifested in Xavier et al [4].…”

Section: Introductionmentioning

confidence: 99%

Topological indices computing on random chain structures

Shi

Gao

2020

Int J of Quantum Chemistry

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Topological indices are a vital tool in QSAR/QSPR study, and Randić index and Zagreb index are mostly historical and well‐known indices which have been widely used to predict the properties of compounds. In recent years, to meet the demands from various engineering applications, some variants of Randić index and Zagreb index are defined and investigated. In this work, we determine the redefined Zagreb indices, forgotten index, reduced reciprocal Randić index and reduced second Zagreb index for random polyphenyl chain and random spiro chain which are produced by zeroth‐order Markov process and frequently appears in the field of materials and pharmacology. Furthermore, the average values and special settings in p1 or p2 to be zero are discussed.

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“…The Redefined third Zagreb index was also independently defined by Mansour and Song [15]. Moreover, the generalized version was presented in [23].…”

Section: Introduction and Motivationsmentioning

confidence: 99%

Redefined Zagreb indices of Some Nano Structures

Zhao

Gan

2016

Applied Mathematics and Nonlinear Sciences

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In theoretical chemistry, the researchers use graph models to express the structure of molecular, and the Zagreb indices and redefined Zagreb indices defined on molecular graph G are applied to measure the chemical characteristics of compounds and drugs. In this paper, we present the exact expressions of redefined Zagreb indices for certain important chemical structures like nanotube and nanostar. As supplement, the redefined Zagreb indices of polyomino chain and benzenoid series are manifested.

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The and -Analogs of Zagreb Indices and Coindices of Graphs

Cited by 19 publications

References 8 publications

On the bounds of the forgotten topological index

On the bounds of the forgotten topological index

Topological indices computing on random chain structures

Redefined Zagreb indices of Some Nano Structures

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