On the zagreb indices of the line graphs of polyphenylene dendrimers

A topological index is a number related to the atomic index that allows quantitative structure–action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision.

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Modified Zagreb connection indices of the T-sum graphs

Main Group Metal Chemistry ◽

10.1515/mgmc-2020-0005 ◽

2020 ◽

Vol 43 (1) ◽

pp. 43-55 ◽

Cited By ~ 3

Author(s):

Usman Ali ◽

Muhammad Javaid ◽

Agha Kashif

Keyword(s):

Molecular Graph ◽

Chemical Compounds ◽

Topological Indices ◽

Line Graphs ◽

Real Numbers ◽

Statistical Tools ◽

Zagreb Indices ◽

Molecular Graphs ◽

Octane Isomers

AbstractThe quantitative structures activity relationships (QSAR) and quantitative structures property relationships (QSPR) between the chemical compounds are studied with the help of topological indices (TI’s) which are the fixed real numbers directly linked with the molecular graphs. Gutman and Trinajstic (1972) defined the first degree based TI to measure the total π-electrone energy of a molecular graph. Recently, Ali and Trinajstic (2018) restudied the connection based TI’s such as first Zagreb connection index, second Zagreb connection index and modified first Zagreb connection index to find entropy and accentric factor of the octane isomers. In this paper, we study the modified second Zagreb connection index and modified third Zagreb connection index on the T-sum (molecular) graphs obtained by the operations of subdivision and product on two graphs. At the end, as the applications of the obtained results for the modified Zagreb connection indices of the T-sum graphs of the particular classes of alkanes are also included. Mainly, a comparision among the Zagreb indices, Zagreb connection indices and modified Zagreb connection indices of the T-sum graphs of the particular classes of alkanes is performed with the help of numerical tables, 3D plots and line graphs using the statistical tools.

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On the Zagreb indices of the line graphs of the subdivision graphs

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.03.125 ◽

2011 ◽

Vol 218 (3) ◽

pp. 699-702 ◽

Cited By ~ 18

Author(s):

P.S. Ranjini ◽

V. Lokesha ◽

I.N. Cangül

Keyword(s):

Line Graphs ◽

Zagreb Indices

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General Fifth M- Zagreb Polynomials of the TUC4C8(R)[p, q] 2D-Lattice and its Derived Graphs

Letters in Applied NanoBioScience ◽

10.33263/lianbs101.17381747 ◽

2020 ◽

Vol 10 (1) ◽

pp. 1738-1747

Keyword(s):

Chemical Compound ◽

Molecular Graph ◽

Vital Role ◽

Topological Indices ◽

Line Graphs ◽

Topological Properties ◽

Zagreb Index ◽

Chemical Graph ◽

Zagreb Indices ◽

Physical Chemical

A molecular graph or a chemical graph is a graph related to the structure of a chemical compound. The topological indices play a vital role in understanding the physical, chemical, and topological properties of the respective compound. ln this article, we discuss the computation of the degree-based topological indices, namely - the fifth M-Zagreb indices and their polynomials, fifth hyper M-Zagreb indices and their polynomials, general fifth M-Zagreb indices and their polynomials, third Zagreb index and it is polynomial for the TUC_4 C_8 (R)[p,q] lattice, its subdivision, and para-line graphs.

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