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Title
THE SMALLEST HARMONIC INDEX OF TREES WITH GIVEN MAXIMUM DEGREE.
Authors
RASI, REZA; SHEIKHOLESLAMI, SEYED MAHMOUD
Abstract
The harmonic index of a graph G, denoted by H(G), is defined as the sum of weights 2/\d(u) + d(v)] over all edges uv of G, where d(u) denotes the degree of a vertex u. In this paper we establish a lower bound on the harmonic index of a tree T.