Harmonic Index of Bridge and Chain Graphs


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Authors

  • J. Amalorpava Jerline Department of Mathematics, Holy Cross College, Trichy, Tamilnadu, India
  • K. Dhanalakshmi Department of Mathematics, Holy Cross College, Trichy, Tamilnadu, India
  • L. Benedict Michael Raj Department of Mathematics, St. Joseph’s College, Trichy, Tamilnadu, India

Keywords:

Harmonic Index, Bridge Graph, Chain Graph

Abstract

The harmonic index $ H(G) $ of a graph $ G $ is defined as the sum of the weights $ \dfrac{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 work, we obtain harmonic index of bridge and chain graphs. Using these results, harmonic index of chemical graphs are computed.

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Published

15-03-2017

How to Cite

J. Amalorpava Jerline, K. Dhanalakshmi, & L. Benedict Michael Raj. (2017). Harmonic Index of Bridge and Chain Graphs. International Journal of Mathematics And Its Applications, 5(1 - C), 275–284. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/775

Issue

Vol. 5 No. 1 - C (2017)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.