On Harmonic Index and Diameter of Graphs

DOI: 10.4236/jamp.2013.13002   PDF   HTML     3,106 Downloads   6,364 Views   Citations

Abstract

The harmonic index of a graph G is defined as , where d(u) denotes the degree of a vertex u in G. It has been found that the harmonic index correlates well with the Randi c' index and with the π-electronic energy of benzenoid hydrocarbons. In this work, we give several relations between the harmonic index and diameter of graphs.

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Liu, J. (2013) On Harmonic Index and Diameter of Graphs. Journal of Applied Mathematics and Physics, 1, 5-6. doi: 10.4236/jamp.2013.13002.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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