Verifications of Harmonic Mean labeling in Degree Splitting Graphs

Authors

  • S. Suganya  Research Scholar, Department of Mathematics, Vels Institute of Science, Technology and Advanced Studies, Pallavaram, Chennai, Tamilnadu, India
  • Maheswari V  Professor, Department of Mathematics, Vels Institute of Science, Technology and Advanced Studies, Pallavaram, Chennai, Tamilnadu, India
  • Sagaya Rose Tucilin Mary  Research Scholar, Department of Mathematics, Vels Institute of Science, Technology and Advanced Studies, Pallavaram, Chennai, Tamilnadu, India

Keywords:

Harmonic Mean, Splitting Graph, Vertices, Edges

Abstract

A graph G = (V,E) with p vertices and q edges is called a Harmonic mean graph if it is possible to label the vertices x ? V with distinct labels from 1, 2, …, q+1 in such a way that when each edge e = uv is labeled with f(e = uv), then the edge labels are distinct. In this case f is called Harmonic mean labeling of G. In this paper we investigate Harmonic mean labeling of degree splitting graph of some standard graphs.

References

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2023-09-05

Issue

Volume 10, Issue 5, September-October-2023

Section

Research Articles

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

How to Cite

[1]
S. Suganya, Maheswari V, Sagaya Rose Tucilin Mary "Verifications of Harmonic Mean labeling in Degree Splitting Graphs" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 10, Issue 5, pp.10-13, September-October-2023.