2018
DOI: 10.3390/math6100214
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Some Reverse Degree-Based Topological Indices and Polynomials of Dendrimers

Abstract: Topological indices collect information from the graph of molecule and help to predict properties of the underlying molecule. Zagreb indices are among the most studied topological indices due to their applications in chemistry. In this paper, we compute first and second reverse Zagreb indices, reverse hyper-Zagreb indices and their polynomials of Prophyrin, Propyl ether imine, Zinc Porphyrin and Poly (ethylene amido amine) dendrimers.

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Cited by 43 publications
(21 citation statements)
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“…Topological invariant TOP(G) is a numeric value of a molecular structure of a chemical compound. Nonetheless, the creation of irregular indices is based on the conversion of a structural graph into a total count describing the irregularity of the molecular design on the map [3,4]. Many networks including silicate, chain silicate, oxide, hexagonal, and honeycomb networks are identical to networks of atomic or chemical structure.…”
Section: Introductionmentioning
confidence: 99%
“…Topological invariant TOP(G) is a numeric value of a molecular structure of a chemical compound. Nonetheless, the creation of irregular indices is based on the conversion of a structural graph into a total count describing the irregularity of the molecular design on the map [3,4]. Many networks including silicate, chain silicate, oxide, hexagonal, and honeycomb networks are identical to networks of atomic or chemical structure.…”
Section: Introductionmentioning
confidence: 99%
“…It plays an important role in the so-called inverse structureproperty relationship problems [13]. For more details about this topological polynomial and index, please see the paper series and the references therein [14][15][16][17][18][19][20][21][22]. Note that the first derivative of the Hosoya polynomial at = 1 is equal to the Wiener index:…”
Section: Introductionmentioning
confidence: 99%
“…Contaminate, topological indices (TIs) are real numbers associated with the molecular graph of a chemical compound and have applications in QSPR. TIs remain invariant upto graph isomorphism and help us to foresee numerous properties of synthetic structures without going to lab [16][17][18][19][20][21][22]. Other developing field is cheminformatics, in which we use QSAR and QSPR relationship to figure organic action and synthetic properties of molecular structures.…”
Section: Introductionmentioning
confidence: 99%