Molecular trees with extremal Harmonic indices
LINGPING ZHONG1,*
Affiliation
- 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