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Molecular trees with extremal Harmonic indices

LINGPING ZHONG1,*

Affiliation

  1. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China

Abstract

The Harmonic index of a graph G is defined as the sum of the weights2 d(u)  d(v) of all edges uv of G, where d(u) denotes the degree of a vertex u in G. In this paper, we determine molecular trees with minimum, second-minimum, third-minimum, maximum, second-maximum and third-maximum Harmonic indices..

Keywords

Harmonic index, Molecular graphs, Molecular trees, Nanostructures.

Citation

LINGPING ZHONG, Molecular trees with extremal Harmonic indices, Optoelectronics and Advanced Materials - Rapid Communications, 8, 1-2, January-February 2014, pp.96-99 (2014).

Submitted at: Sept. 19, 2013

Accepted at: Jan. 22, 2014