[PDF] Top 20 Distance-Based Topological Indices and Double graph

... different topological indices have been investigated so ...useful topological indices are distance based or degree ...of distance based topological ... See full document

... them, topological indices have a prominent place ...of topological descriptors that have found some applications in theoretical chemistry, especially in QSPR/QSARresearch [2, 6, ...all ... See full document

... A topological index for a (chemical) graph G is a numerical quantity invariant under automorphisms of ...G. Topological indices and graph invariants based on the vertex degrees ... See full document

... them, topological indices have a prominent place ...numerousof topological descriptors that have found some applications in theoretical chemistry, especially in QSPR/QSAR research ...all ... See full document

... A graph is a collection of points and lines connecting ...a graph are also called vertices and edges ...connected graph is a graph such that there is a path between all pairs of ...The ... See full document

... All graphs in the present article is finite, simple, undirected and connected. For graph G = (V(G), E(G)), the order of G is 𝑝(𝐺 ) = |𝑉(𝐺)| and its size is 𝑞(𝐺) = |𝐸𝐸(𝐺)| . Let deg(u) denoted the degree of a ... See full document

... as topological indices. Many topological indices are introduced to explain the physical and chemical properties of ...molecules. Topological Index is a numerical value associated with ... See full document

... ECP (G, x) = ξ (G, 1), (3) Where ξ (G, 1) is the key auxiliary of ECP (G, x). Another fundamental Eccentricity based topological record is Connective Eccentric file C ξ (G). The Connective Eccentric file is ... See full document

... Abstract. Buckyball, a C 60 molecule, is highly symmetric closed cage structure with a 60 number of carbon atoms and the diameter of 0.78 nanometers. This is formed by twelve pentagons and twenty hexagons that are linked ... See full document

... connected graph. Given two vertices u and v in V ( G ) , the distance between u and v, denoted by d ( u, v ) = d G ( u, v ) , is the length of the shortest path connecting ...connected graph G is ... See full document

... a graph G = (V, E) and for u, v ∈ V, u being adjacent to v is denoted by u ∼ v and {u, v} ∈ ...imum distance between v and any of the other vertex of G, ...a graph G, ... See full document

... chemical graph theory, topological indices are used to study molecule by studying the correlation between some property of the molecule and the values of certain ...These indices are ... See full document

... chemical graph theory (too) many topological indices were introduced, in particular (too) many degree-based topological ...degree-based indices and a report on a ... See full document

... proposed topological mapping approach is applied to a self-localization system for the purpose of reducing global ...error based on an appropriate error ...metrics based on reprojection error, blur, ... See full document

... socalled topological descriptors. Nowadays, there exists a legion of topological indices that found some applications in chemistry ...is based on topological distance of ... See full document

... new topological indices based on Zagreb indices are ...new topological indices are calculated for some stan- dard graphs and for the firefly ...new indices can be used to ... See full document

... of topological indices like Balaban index, Winer index, distance sum index ...the graph distance namely vertex distance complement matrix ...product, double graph, ... See full document

... crown graph has 2n vertices and 2n edges, among them n vertices are of degree one and n vertices of degree ...partition, based on the degrees of vertices as shown in Tables 5 and ...line graph of ... See full document

... molecular graph the vertices correspond to atoms and edges correspond the bonds between ...A topological index is a numeric quantity which is derived from a molecular graph does not depend on ... See full document

... connected graph, the vertex- set and edge- set of G are denoted by V(G) and E(G), ...molecular graph G, the vertices represent atoms and the edges represent ...In graph theory, we have many invariant ... See full document