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

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, First and Second Zagreb Polynomials of HAC5C6C7[p,q] and HAC5C7[p,q] Nanotubes

Topological indices are numerical parameters of a molecular graph G which characterize its topology. On the other hands, computing the connectivity indices of molecular graphs is an important branch in chemical graph theory. Therefore, we compute First Zagreb index Zg   <span style="font-family: TimesNewRomanPS-Italic...

The First and Second Zagreb Indices of Generalized Complementary Prisms

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.

The first and second Zagreb indices of some graph operations

First and Second Zagreb Eccentricity Indices of Thorny Graphs

The Zagreb eccentricity indices are the eccentricity reformulation of the Zagreb indices. Let H be a simple graph. The first Zagreb eccentricity index (E1(H)) is defined to be the summation of squares of the eccentricity of vertices, i.e., E1(H) = ∑u∈V(H) Symmetry 2016, 9, 7; doi: 10.3390/sym9010007 www.mdpi.com/journal/symmetry Article First and Second Zagreb Eccentricity Indices of Thorny Gra...