In this paper we establish some general multiple Opial-type inequalities involving the Canavati fractional derivatives. In some cases the best possible constants are discussed. 1 Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Split, Croatia. E-mail address: [email protected] 2 Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia. E-mail address:...

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...

In mathematical chemistry, a particular attention is given to degree-based graph invariant. The Zagrebpolynomial is one of the degree based polynomials considered in chemical graph theory. A dendrimer isan artificially manufactured or synthesized molecule built up from branched units called monomers. Inthis note, the first, second and third Zagreb poly...

Ivica Klapan1,2, Pero Raos3, Tomislav Galeta3, Ljubimko Šimičić4, Juraj Lukinović5, Željko Vranješ2,6, Josip Maleš6, Stanko Belina7 and Višeslav Ćuk7 1Klapan Medical Group Polyclinic, Zagreb, 2Faculty of Medicine at University of Osijek, 3Mechanical Engineering Faculty in Slavonski Brod at University of Osijek, 4Department of Physics at University of Zagreb, 5ENT Department, Faculty of Medicine...

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.