On certain topological indices of the derived graphs of subdivision graphs

The derived graph [G]† of a graph G is the graph having the same vertex set as G, with two vertices of [G]† being adjacent if and only if their distance in G is two. Topological indices are valuable in the study of QSAR/QSPR. There are numerous applications of graph theory in the field of structural chemistry. In this paper, we compute generalized Randi´c, general Zagreb, general sum-connectivity, ABC, GA, ABC4, and GA5 indices of the derived graphs of subdivision graphs.Publisher's Versio

SK indices, forgotten topological indices and Hyper Zagreb index of Q operator of carbon nanocone

Second author is thankful to University Grant Commission UGC, New Delhi for providing Maulana Azad National Fellowship (F ileNo : F1−17.1/2017−18/MANF −2017−18−KAR−77292) to carry out the present research work.Carbon nanocones are conical structures made from carbon and they have one dimension of order one micrometer. The physical features of these structures can be easily understood by exploiting topological indices. In this article we established SK, F, S and Hyper Zagreb index of carbon nanocones using Q(G) operator.Second author is thankful to University Grant Commission UGC, New Delhi for providing Maulana Azad National Fellowship (FileNo : F1-17.1/2017-18/MANF-2017-18-KAR-77292) to carry out the present research work.Publisher's Versio

Adriatic indices and sanskruti index envisage of carbon nanocone

In [17, 18], D. Vukicevic notified the 148 discrete adriatic indices. They were analyzed on the testing sets provided by the International Academy of Mathematical Chemistry and it had been shown that they have good presaging properties in many cases. Carbon Nanocones have been observed on the surface of naturally occurring graphite and it have gained and increased scientific interest due to their unique properties and promising uses in many applications such as energy and gas storage. In this article, we frame-up with the general expression for some discrete adriatic indices and sanskruti index of Carbon Nanocones CNCm[n].The second author is thankful to the Ministry of Tribal affairs(India) for providing National fellowship and scholarship for higher studies of ST students (NO.: 201718-NFST-KAR-00838).Publisher's Versio

Bounds for the sum of cubes of vertex degrees of splice graphs

Some chemically interesting graphs can be derived from simpler graphs by some graph operations. One of the most relevant among these interesting graphs is named as splice graphs. They are related to RNA sequencing and therefore is of great interest. The main target of this paper is to obtain the explicit interpretation of F-index in terms of the graph size and maximum or minimum vertex degrees of special splice graphs.The second author is thankful to Maulana Azad National Fellowship (MANF) for Minority Students F1-17.1/201718/MANF-2017-18-KAR-76148. Also the third author is thankful to National Fellowship and Scholarship for Higher Education of ST Students 2017-18-NFST-KAR-00838.Publisher's Versio