The Edge-Weighted Graph Entropy Using Redefined Zagreb Indices

EDGE a-ZAGREB INDICES AND ITS COINDICES OF GRAPH OPERATIONS

In this paper, the edge a-Zagreb indices and its coindices of some graph operations, such as generalized hierarchical product, Cartesian Product, join, composition of two graphs are obtained. Using the results obtained here, we deduce the F -indices and its coindices for the above graph operation. Finally, we have computed the edge a-Zagreb Index, F -index and their coindices of some important ...

The Redefined First, Second and Third Zagreb Indices of Titania Nanotubes TiO2[m,n]

School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China Department of Applied Mathematics, Iran University of Science and Technology (IUST) Narmak, Tehran, 16844, Iran Department of Mathematics, Riphah Institute of Computing and Applied Sciences (RICAS) Riphah International University, 14 Ali Road Lahore, Pakistan Department of Mathematics, Comsats Institut...

The first and second Zagreb indices of some graph operations

Comparing the Zagreb Indices

Let G = (V,E) be a simple graph with n = |V | vertices and m = |E| edges; let d1, d2, . . . , dn denote the degrees of the vertices of G. If ∆ = max i di ≤ 4, G is a chemical graph. The first and second Zagreb indices are defined as M1 = ∑

On Zagreb Energy and edge-Zagreb energy

In this paper, we obtain some upper and lower bounds for the general extended energy of a graph. As an application, we obtain few bounds for the (edge) Zagreb energy of a graph. Also, we deduce a relation between Zagreb energy and edge-Zagreb energy of a graph $G$ with minimum degree $delta ge2$. A lower and upper bound for the spectral radius of the edge-Zagreb matrix is obtained. Finally, we ...