[PDF] Top 20 On Eccentric Connectivity Index of Eccentric Graph of Regular Dendrimer

... Chemical graph theory [4] is one of the well-investigated application areas with several researchers working on applying graph theory to mathematical modeling of chemical ...molecular graph or ... See full document

... an eccentric vertex of a vertex u if d(u,v)= e(u). The set of all eccentric vertices of u is denoted by ...an eccentric vertex of the graph G if v is an eccentric vertex of some vertex ... See full document

... ξ ( F 20 n  4 ) 90  n 2  84 n  45. (7) Proof. By means of group action of automorphism group of F 20 n  4 on the set of vertices, one can see that there are five types of vertices of fullerene graph as ... See full document

... Throughout this article G denotes a simple connected graph. We denote the vertex and the edge set of G by V(G) and E(G), respectively. For two vertices u and v of V(G), we define their distance d(u,v) as the ... See full document

... the eccentric-connectivity index has very important place among the other topological descriptors, In this paper, we compute the exact formulas of eccentric-connectivity index ... See full document

... paper, graph means simple connected ...a graph G are denoted by V(G) and E(G), ...given graph G, it is called a molecular graph if the maximum degree of every vertex reaches to ...topological ... See full document

... molecular graph represents the topology of a molecule, by considering how the atoms are ...a graph, where the points represent the atoms, and the edges symbolize the covalent ...these graph models ... See full document

... the eccentric connectivity index is more ...the eccentric connectivity index of any graph must be bounded by a cubic polynomial in the number of ...any graph G on n ... See full document

... The unbranched nature of chain cacti allows for a natural ordering of their hexagons. It is clear that the eccentricity of vertices of a given hexagon mostly depends on the position of the hexagon in the chain and then ... See full document

... d  . The eccentricity of a vertex x is denoted by  x and is given by  x  Max { d ( x , y ) | y  V } . The maximum value of eccentricity over all vertices of G is called the diameter of G and denoted by D (G ) . ... See full document

... Madan, Eccentric connectivity index: A Novel Highly Discriminating Topological Descriptor for Structure-Property and Structure-Activity Studies, ...to Graph Theory, Prentice Hall, ... See full document

... Chemical graph theory is a branch of mathematical chemistry which has an important effect on the development of the chemical ...topological index is a numerical value associated with the chemical ... See full document

... topological index for discriminating power with regard to anti-HIV activity of 2-pyridinone ...this index for nano structures and find exact expression of the augmented eccentric connectivity ... See full document

... connective eccentric index and then we compute this topological index for vertex – transitive ...topological index for two infinite classes of ...the regular graphs: ... See full document

... the graph on n vertices obtained from C 3 by attaching n  2 m pendant edges and m 2 paths of length 2 together to one of three vertices, and a pendant edge to another vertex of C 3 , ... See full document

... Nanostar dendrimer is a kind of nanostructure. One type of nanostar dendrimers is N-branched phenylacetylenes and it is shown by NSB[n], some topological indices were obtained in [2]. In Figure 1, the molecular ... See full document

... a graph means a set of vertices and edges which denotes by V(G) and E(G), ...connected graph is a graph such that there is a path between all pairs of ... See full document

... Abstract.In this paper we define detour eccentric connectivity index and detour connective eccentric index of graphs. We compare the properties of both these indices. The values of ... See full document

... The eccentric connectivity index and connective eccentricity index are impor- tant topological indices for ...tric connectivity index and connective eccentricity index of ... See full document

... that eccentric/concentric ratios may help to predict the development of OP in soccer ...the eccentric strength of the abdominal and adductor muscles should be included in rehabilitation programs developed ... See full document