Some Properties on the Harmonic Index of Molecular Trees. (29th January 2014)

• Record Type: Journal Article
• Authors: Liu, Shaoqiang; Li, Jianxi
• Other Names: Kearsley A. J. Academic Editor.; Liu X. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2014(2014)
• Publication Date: 2014-01-29
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.1155/2014/781648
• Languages: English
• ISSNs: 2090-5564

Abstract

Abstract : The harmonic index of a graph G is defined as the sum of weights 2 / d ( u ) + d ( v ) of all edges uv of G, where d ( u ) denotes the degree of the vertex u in G . In this paper, some general properties of the harmonic index for molecular trees are explored. Moreover, the smallest and largest values of harmonic index for molecular trees with given pendent vertices are provided, respectively.