Symmetric Division Deg index is one of the 148 discrete Adriatic indices that showed good predictive properties on the testing sets provided by International Academy of Mathematical Chemistry. Symmetric Division Deg index is defined by $$ SDD(G) = sumE left( frac{min{d_u,d_v}}{max{d_u,d_v}} + frac{max{d_u,d_v}}{min{d_u,d_v}} right), $$ where $d_i$ is the degree of vertex $i$ in graph $G$. In th...

The vertex-edge Wiener index of a simple connected graph G is defined as the sum of distances between vertices and edges of G. Two possible distances D_1(u,e|G) and D_2(u,e|G) between a vertex u and an edge e of G were considered in the literature and according to them, the corresponding vertex-edge Wiener indices W_{ve_1}(G) and W_{ve_2}(G) were introduced. In this paper, we present exact form...

In this article we use Multiple Centrality Assessment (MCA) based on the idea of Sergio Porta [Por06]. We apply MCA for the urban streets of Tirana. MCA is based on primal, rather than dual, street graphs, it works within a metric, rather than topological, framework and it investigates a plurality of peer centrality indices. We show that, in the MCA primal approach, some centrality indices nice...

Interconnection Networks are a boon to human made large computing systems which often designed based on the need. In this paper, we address question of obtaining an interconnection network suit specific need is cumbersome procedure. The methods for constructing infinitely networks from any simple, undirected graph \(G\) illustrated and their properties discussed. Further, study behaviour certai...

the reverse degree distance of a connected graph $g$ is defined in discrete mathematical chemistry as [ r (g)=2(n-1)md-sum_{uin v(g)}d_g(u)d_g(u), ] where $n$, $m$ and $d$ are the number of vertices, the number of edges and the diameter of $g$, respectively, $d_g(u)$ is the degree of vertex $u$, $d_g(u)$ is the sum of distance between vertex $u$ and all other vertices of $g$, and $v(g)$ is the ...

Alkanes are the primary constituents of methane or natural gas that can also be found in volcanic crust. As a result as heat source, humans may cook without using any fuel environment. Propane which is an alkane derivative safer alternative to and commonly present cooking fuel, well tiny amount gasoline matches. The ingredient automobile especially form octane. Topological indices largely appli...

In $1994,$ degree distance  of a graph was introduced by Dobrynin, Kochetova and Gutman. And Gutman proposed the Gutman index of a graph in $1994.$ In this paper, we introduce the concepts of  multiplicative version of degree distance and the multiplicative version of Gutman index of a graph. We find the sharp upper bound for the  multiplicative version of degree distance and multiplicative ver...

A topological index is a characteristic value which represents some structural properties of chemical graph. We study strong double graphs and their generalization to compute Zagreb indices coindices. provide explicit computing formulas along with an algorithm generate verify the results. also find relation between these indices. 3D graphical representation are presented understand dynamics afo...