Note on the harmonic index of a graph

Details Note on the harmonic index of a graph Note on the harmonic index of a graph

2012-04-15

arxiv.org/abs/1204.3313v1

Mathematics

Combinatorics

5 pages

Scientific paper

The harmonic index of a graph $G$ is defined as the sum of weights $\frac{2}{deg(v) + deg(u)}$ of all edges $uv$ of $E (G)$, where $deg (v)$ denotes the degree of a vertex $v$ in $V (G)$. In this note we generalize results of [L. Zhong, The harmonic index on graphs, Appl. Math. Lett. 25 (2012), 561--566] and establish some upper and lower bounds on the harmonic index of $G$.

Affiliated with

Also associated with

No associations

Rating

Note on the harmonic index of a graph does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Note on the harmonic index of a graph, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Note on the harmonic index of a graph will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-288205