[PDF] Top 20 PI index for some special graphs

... short. The readers can refer to [9] for standard graph theoretic concepts and terms used but undefined in this paper. In this paper, we determine the PI index for some special graphs. ... See full document

... Let G be a connected graph with vertex and edge sets V(G) and E(G), respectively. As usual, the distance between the vertices u and v of G is denoted by d(u,v) and it is defined as the number of edges in a minimal path ... See full document

... geometric-arithmetic index and Co-PI index of several special chemical molecular structures, including unilateral polyomino chain, unilateral hexagonal chain, V-Phenylenic nanotube, ... See full document

... of some chemical graphs related to ...computed some topological indices of ...that PI index is computed for cyclic graphs and related nanotubes by several ...of PI ... See full document

... Wiener index of special ...Wiener index of gear fan graph, gear wheel graph and their r-corona ...wiener index and introduce the method of obtaining the order of the Wiener indices among all ... See full document

... fan graphs, while m = 2 corresponds to the double fan ...a special kind of bipartite graph where every vertex of the first vertex set is adjacent to every vertex of the second vertex set, where m and n are ... See full document

... for some special types of graphs, ...vertex-transitive graphs [] and generalized de Bruijn graphs ...present some new upper bounds on the Estrada index for general ... See full document

... molecular index or topological index. In fact, a topological index is numeric quantity derived from a molecular graph which correlates with the physico–chemical properties of the ... See full document

... Cog-special graphs such as a complete graph, a star graph, a wheel graph, a path graph and a cycle ...Schultz index, modified Schultz index and average distance of Schultz and modified Schultz ... See full document

... Wiener index, Szeged index, PI index, and other degree-based or distance- based indices of molecular graphs, while the study of the first and second multiplicative Zagreb index ... See full document

... Let G and H be two graphs. The corona product G ◦ H, is obtained by taking one copy of G and |V(G)| copies of H; and by joining each vertex of the i -th copy of H to the i -th vertex of G, where 1 ≤ i ≤ |V(G)|, ... See full document

... a special type of polynomial associated to every ( , ) p q -graph ...of graphs and shall attempt to compute the adjacent degree index of some special type of ...establish some ... See full document

... Topological index, Honeycomb graph, Atom-bond connectivity index, Randić connectivity index Correspondence to Author: Mohammad Reza Farahani Department of Applied Mathematics, Iran University of ... See full document

... In this paper, we investigated a non-Near skolem difference mean graph G and introduced a new parameter to check whether removal of minimum number of edges from converts it into a Near skolem difference mean graph. We ... See full document

... Wiener index W (G) is a distance-based topological invariant much used in the study of the structure-property and the structure-activity relationships of various classes of biochemically interesting ...Wiener ... See full document

... of the fixed order of n and the size of n k k + ( > 0 ) , and describes the structure of the bipartite graph with maximum adjacency spectrum radius. Reference [3] is to determine the structure of the bipartite graph ... See full document

... In this section we use some of our results in Sec- tion 2 to compute the general Narumi-Katayama index of some dendrimer nanostars. To do this, we start with a class of dendrimers such that they have ... See full document

... the degree of the vertex v in G. The thorny graphs of G are obtained by attaching a number of thorns i.e., degree one vertices to each vertex of G. In this paper, we derive explicit expressions for the connective ... See full document

... eccentricity index of four types of graphs resulting from edge subdivisions, such as S ( G ) , R ( G ) , Q ( G ) and T ( G ) ...subdivision graphs see [11, 17, ... See full document

... of some standardized experiment. The Wiener index W(G) is a distance-based topological invariant is also a molecular descriptor, it much used in the study of the structure-property and the ... See full document