In this paper, we present sharp bounds for the Zagreb indices, Harary index and hyperWiener index of graphs with a given matching number, and we also completely determine the extremal graphs. © 2010 Elsevier Ltd. All rights reserved.

The first and second Hyper-Zagreb index of a connected graph $G$ is defined by $HM_{1}(G)=\sum_{uv \in E(G)}[d(u)+d(v)]^{2}$ $HM_{2}(G)=\sum_{uv E(G)}[d(u).d(v)]^{2}$. In this paper, the indices certain graphs are computed. Also bounds for determined. Further linear regression analysis degree based with boiling points benzenoid hydrocarbons carried out. model, on index, better than models corre...

A topological index, which is a number, connected to graph. It often used in chemometrics, biomedicine, and bioinformatics anticipate various physicochemical properties biological activities of compounds. The purpose this article encourage original research focused on graph indices for the drugs azacitidine, decitabine, guadecitabine as well an investigation genesis symmetry actual networks. Sy...

A connected graph G is said to be a cactus if any two cycles have at most one vertex in common. The multiplicative sum Zagreb index of the product degrees adjacent vertices G. In this paper, we introduce several transformations that are useful tools for study extremal properties index. Using these and symmetric structural representations some graphs, determine graphs having maximal with prescri...

This chapter deals with computation of viscosity of 35 alcohols at 20C with the computational tools Multi-linear Regression (MLR) and Associative Neural Network(ASNN) . The four descriptors are used which are variable Zagreb index, Number of Hydroxyl Groups(NOH), Molecular Weight (MW) and Number of Carbon atoms (Nc). MLR is used to optimize the parameter(λ) in the variable Zagreb index by minim...

The first and second zagreb indices of a graph G are defined as M1(G) = ∑ uv∈E(G) [deg(u) + deg(v)] (or equivalently ∑ u∈V (G) [deg(u)2] and M2(G) = ∑ uv∈E(G) [deg(u)deg(v)] respectively. In this paper, we have obtained the first and second zagreb indices of the generalized complementary prisms Gm+n,Gm,n,G m,m and Gm,m. MSC: 05C15, 05C38.

We give sharp upper bounds on the Zagreb indices and lower bounds on the Zagreb coindices of chemical trees and characterize the case of equality for each of these topological invariants.