Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Zagreb index

Sortuj według:

Ogranicz wyniki do:

First and Second Zagreb polynomials of VC5C7[p,q] and HC5C7[p,q]nanotubes

Farahani M. R.

International Letters of Chemistry, Physics and Astronomy

2014

Vol. 12

56--62

Let G = (V,E) be a simple connected graph. The sets of vertices and edges of G are denoted by V = V(G) and E = E(G), respectively. There exist many topological indices and connectivity indices in graph theory. The First and Second Zagreb indices were first introduced by Gutman and Trinajstić in 1972. It is reported that these indices are useful in the study of anti-inflammatory activities of certain chemical instances, and in elsewhere. In this paper, we focus on the structure of ”G=VC5C7 [p,q]” and ”H = HC5C7[p,q]” nanotubes and counting First Zagreb index Zg1(G)= ∑v∈V(G)d2v and Second Zagreb index Zg2(G)= ∑e=uv∈E(G)(dux dv) of G and H, as well as First Zagreb polynomial Zg1(G,x )= ∑e=uv∈E(G)xdu+dv and Second Zagreb polynomial Zg2(G,x) =∑e=uv∈E(G)xduxdv.

Notes on topological indices of graph and its complement

Madaras T., Mockovciakova M.

Opuscula Mathematica

2013

Vol. 33, no. 1

107-115

In this note, we derive the lower bound on the sum for Wiener index of bipartite graph and its bipartite complement, as well as the lower and upper bounds on this sum for the Randić index and Zagreb indices. We also discuss the quality of these bounds.