[PDF] Top 20 ON CERTAIN TOPOLOGICAL INDICES OF THE DERIVED GRAPHS OF SUBDIVISION GRAPHS

... Fig.2. In H there are total 2(n − 1) vertices and by Lemma 1.2, there exists (n − 1)(n+4) 2 edges among which (n − 1) vertices are of degree 4 and (n − 1) vertices are of degree n. Therefore we get the edge partition, ... See full document

... 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 ...5 indices of the ... See full document

... ladder graphs using the notion of subdivision. Topological indices of line graphs of subdivision graphs of complete bipartite graphs are computed by Islam et ...for ... See full document

... A topological index is a numerical quantity derived in an un- ambiguous manner from the structure graph of a ...Various topological indices usually reflect molecular ... See full document

... called topological indices) are used for modeling physicochemical, pharmacologic, toxicologic, biological and other properties of chemical ...connectivity indices based on the distances and ... See full document

... some topological indices of strong double graphs and also mention some bounds on strong double graphs of some certain families of ... See full document

... Let and " be two graphs. Designate two nodes ) and ) , ) ≠ ) in H as e-nodes such that there is an automorphism +: (") → (") with the property +() ) = ) ; +() ) = ) . Then the symmetric edge ... See full document

... Abstract: In this paper, a recursive relation between base-3 Sierpiński graphs rank n and n-1 of some topostructural indices is studied. Based on this relation, The formulae of the First Zagreb index, ... See full document

... ´nski graphs are extensively studied graphs of fractal nature with applications in topology, mathematics of Tower of Hanoi and computer ...´nski graphs are defined by replication of exactly the same ... See full document

... A topological index is a real number related to a structural graph of a molecule, and it does not depend on the labelling or pictorial representation of a ...of topological indices have been ... See full document

... based topological indices like the Forgotten index, Zagreb and Banhatti indices of some derived graphs such as line graph, subdivision graph, vertex-semitotal graph, ... See full document

... Topological indices are numerical quantities associated with a graph that are in- variant under graph ...in topological indices is due to their applicability in quantitative structure–property ... See full document

... [12].Topological indices of graphene are studied in [13].The multiplicative Zagreb indices of nanostructures and chains are studied by ...GA indices of graphene are studied by ...K-Banhatti ... See full document

... Shultz indices of the subdivision graphs of the tadpole, wheel, helm and ladder graphs ...Zagreb indices of the line graphs of subdivision graphs of tadpole, wheel ... See full document

... Abstract. The first Zagreb index of a graph G is the sum of squares of the vertex degrees in a graph and the second Zagreb index of G is the sum of products of degrees of adjacent vertices in G. The imbalance of an edge ... See full document

... Topological indices of molecules can be carried out through their molecular ...which topological indices of chemical graphs relates the certain physical, biological or chemical ... See full document

... A topological index is a numerical quantity of a molecule that is evaluated from the structural graph of a ...chemistry, topological indices are used for modelling physical, pharmacological, ... See full document

... of topological graph indices have been defined and studied by many mathemati- cians and also by chemists as graphs are used to model molecules by replacing atoms with vertices and bonds with ... See full document

... V G v v v and edge set E G ( ) = { , e e 1 2 , , e m } . We denote the shortest distance between two vertices u and v in G by d u v ( , ) and the degree of a vertex v in G by d v ( ) . A topological index is a ... See full document

... Perhaps the applied value of the cluster corona lies in finding various edge- defined indices and other edge-defined invariants for the recursive corona which was introduced by Vernold Vivin and Kaliraj in [6]. ... See full document