Computing the Narumi–Katayama Index and Modified Narumi–Katayama Index of Some Families of Dendrimers and Tetrathiafulvalene
Abstract: A dendrimer is an artificially manufactured or synthesized molecule built up from branched units called monomers. In mathematical chemistry, a particular attention is given to degree-based graph invariant. The Narumi–Katayama index and its modified Narumi–Katayama index of a graph G denoted by NK (G) and NK ∗ … Show more
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Cited by 2 publications
References 19 publications
The Degree-Based Topological Indices for Two Special Families of Graphs of Diameter Three
In this research article, we determine some vertex degree-based topological indices or descriptors of two families of graphs, i.e., G = C 4 K n and G = C 4 K n + v 1 v 3 , where C 4 K n is a graph obtained by identifying one of the vertices of K n with one vertex of C 4 . Similarly, a graph formed by joining one of the vertices of K n with one vertex of C 4 + v 1 v 3 is known as the C 4 K n + v 1 v 3 graph.
The Degree-Based Topological Indices for Two Special Families of Graphs of Diameter Three
In this research article, we determine some vertex degree-based topological indices or descriptors of two families of graphs, i.e., G = C 4 K n and G = C 4 K n + v 1 v 3 , where C 4 K n is a graph obtained by identifying one of the vertices of K n with one vertex of C 4 . Similarly, a graph formed by joining one of the vertices of K n with one vertex of C 4 + v 1 v 3 is known as the C 4 K n + v 1 v 3 graph.
The numerical descriptor gathers the data from the molecular graphs and helps to know the characteristics of the chemical structure known as topological index. The QSAR/QSPR/QSTR studies are benefited with the significant role played by topological indices in the drug design. Topological indices provide the information about the physical/chemical/biological properties of chemical compounds. The Zagreb indices are widely studied because of their extensive usage in chemical graph theory. Inspired by the earlier work on inverse sum indeg index (ISI index), novel topological index known as SS index is introduced and computed for four dendrimer structures. Also, the strong correlation coefficient between SS index and 5 physico-chemical characteristics such as boiling point (bp), molar volume (mv), molar refraction (mr), heats of vaporization (hv), and critical pressure (cp) of 67 alkane isomers have been determined. It is found that newly introduced index has shown good correlation in comparison with three most popular existing indices (ISI index and first and second Zagreb indices). In the last part, the mathematical properties of SS index are discussed.
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