RACHANNA KANABUR - Academia.edu (original) (raw)

Uploads

Papers by RACHANNA KANABUR

Işık University Press, 2018

Recently [18], Shigehalli and Kanabur have introduced two new topological indices namely, AG2 ind... more Recently [18], Shigehalli and Kanabur have introduced two new topological indices namely, AG2 index and SK3 index. Hosamani [14], has studied a novel topological index, namely the Sanskruti index S (G) of a molecular graph G. In this paper, formula for computing the armchair polyhex nanotube TUAC6 [m, n] family is given.

L et G be a molecular graph. The Arithmetic-Geometric (AG) indices of G are defined as AG (G)= wh... more L et G be a molecular graph. The Arithmetic-Geometric (AG) indices of G are defined as AG (G)= where du (or dv) denote the degree of the vertex u (or v), respectively. In this paper we introduce an amalgamation operation on the path graph and cycle graph such that resulting graph G: P n &C m is introduced between co-relation of the path graph and cycle graph. We investigate the topological indices like arithmetic-geometric index for the graphs P n & C m.

Advances in Mathematical Sciences, 2019

Throughout this paper simple and undirected graphs are considered. Let G = (V,E) be such a graph.... more Throughout this paper simple and undirected graphs are considered. Let G = (V,E) be such a graph. The structure of a chemical compound can be represented by a graph whose vertex and edge specify the atom and bonds respectively. In this paper we compute certain topological indices of silicate chain.

General Letters in Mathematics, 2020

In this paper, we find the values of four important degree-based topological indices of molecular... more In this paper, we find the values of four important degree-based topological indices of molecular graph of alkane isomers. Further, we show that these parameters are highly correlated with physical properties of alkane isomers. .

Graphene is one of the most promising nanomaterial because of its unique combination of superb pr... more Graphene is one of the most promising nanomaterial because of its unique combination of superb properties, which opens a way for its exploitation in a wide spectrum of applications ranging from electronics to optics, sensors, and bio devices. Inspired by recent work on Graphene of computing topological indices, here we compute new topological indices viz. Arithmetic-Geometric index (AG2 index), SK3 index and Sanskruti index of a molecular graph G and obtain the explicit formulae of these indices for Graphene.

Recently, Shigehalli and Kanabur [20] have put forward for new degree based topological indices, ... more Recently, Shigehalli and Kanabur [20] have put forward for new degree based topological indices, namely Arithmetic-Geometric index (AG1 index), SK index, SK1 index and SK2 index of a molecular graph G. In this paper, we obtain the explicit formulae of these indices for Polyhex Nanotube without the aid of a computer.

In this paper, computation of the Arithmetic-Geometric index (AG1 index), SK index, SK1 index and... more In this paper, computation of the Arithmetic-Geometric index (AG1 index), SK index, SK1 index and SK2 index of H-Naphtalenic nanotube and TUC4[m,n] nanotube. We also compute SK3 index, AG2 index for H-Naphtalenic nanotube and TUC4[m,n] nanotube.

Global Journal of Applied Engineering Mathematics

The Arithmetic-Geometric index (AG1 index), SK index, SK1 index, SK2 indices of a graph G was int... more The Arithmetic-Geometric index (AG1 index), SK index, SK1 index, SK2 indices of a graph G was introduced by V. S. Shigehalli and R. R. Kanabur. These topological indices explain the modeling of various physico-chemical, biological and pharmacological properties of organic molecules in chemistry and explains studies of various results on Silicate Chain Graph.

Journal of Mathematics

Graphene is one of the most promising nanomaterials because of its unique combination of superb p... more Graphene is one of the most promising nanomaterials because of its unique combination of superb properties, which opens a way for its exploitation in a wide spectrum of applications ranging from electronics to optics, sensors, and biodevices. Inspired by recent work on Graphene of computing topological indices, here we propose new topological indices, namely, Arithmetic-Geometric index (AG1index), SK index, SK1index, and SK2index of a molecular graphGand obtain the explicit formulae of these indices for Graphene.

General Letters in Mathematics

Benzenoid hydrocarbons are condensed polycyclic unsaturated fully conjugated hydrocarbons compose... more Benzenoid hydrocarbons are condensed polycyclic unsaturated fully conjugated hydrocarbons composed exclusively of six membered rings. Benzenoid system may be represented by different kinds of graphs. Each hexagon of a benzenoid or coronoid system may be represented by a single vertex. In this paper, we find the values of six important degree-based topological indices of molecular graph of benzenoid hydrocarbons. Further, we show that these parameters are highly correlated with physical properties of benzenoid hydrocarbons.

Journal of Computer and Mathematical Sciences

Let G be a molecular graph. The Arithmetic-Geometric (AG) indices of G are defined as AG (G)=Σ𝑑𝑑𝑑... more Let G be a molecular graph. The Arithmetic-Geometric (AG) indices of G are defined as AG (G)=Σ𝑑𝑑𝑑𝑑+𝑑𝑑𝑑𝑑2√𝑑𝑑𝑑𝑑∗𝑑𝑑𝑑𝑑𝑢 ∈𝐸𝐸(𝐺𝐺) where du (or dv) denote the degree of the vertex u (or v), respectively. In this paper we introduce an amalgamation operation on the path graph and cycle graph such that resulting graph G: Pn&Cm is introduced between co-relation of the path graph and cycle graph. We investigate the topological indices like arithmetic-geometric index for the graphs Pn & Cm.

Indonesian Journal of Electrical Engineering and Informatics (IJEEI)