Volume no :2, Issue no: 2, May 2009

UNICYCLE GRAPHS WITH THE FIRST THREE EXTREMAL ZEROTH-ORDER GENERAL RANDIĆ INDICES

Author's: Hongzhuan Wang, Dongdong Wang and Shu Wen
Pages: [195] - [214]
Received Date: September 10, 2008
Submitted by:

Abstract

Let be a graph and the degree of the vertex v. The zeroth-order general Randić index of G is defined as: where is an arbitrary real number. In this paper, we characterize the unicycle graphs of order n with the first three largest and the first three smallest zeroth-order general Randić indices.

Keywords

unicycle graph, zeroth-order general Randić index, degree sequence.