Super Harmonic Mean Labelingof Some Path Related Graphs

Authors

  • R. Deepika

DOI:

https://doi.org/10.53555/jaz.v44iS8.3911

Keywords:

Graph, Graph Labeling, Harmonic Mean labeling, Super Harmonic Mean Labeling Path, Cycle, Crown

Abstract

A graph  with points and lines is known as a super harmonic mean graphs if it is possible to value the points  with differentvalues  from  in such a way that when everyline  is valued with  then the line values are distinct. In this case,  is known asthe Super harmonic mean labeling of  In this paper, we proved we prove that some path related graphs such as the Path union of two cycles ,  Path union of two cycles , Path union of two crowns  and  Path union of two crowns  all are super harmonic mean graph .

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Author Biography

R. Deepika

Assistant Professor, Department of Mathematics, Chellammal Women’s College Chennai, Tamil Nadu, India

References

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Harary. F, 1988, Graph Theory, Narosa Publishing House Reading, New Delhi.

Meena. S and Sivasakthi. M, 2019, Harmonic Mean Labeling Of Subdivision Graphs, IJRAR, Volume 6, Issue 1, PP. 196-204.

Ponraj. R and Ramya. D, Super mean labeling of graphs, preprint.

Somasundaram. S, Ponraj. R &Sandhya. S.S, Harmonic Mean Labeling Of Graphs Communicated.

Sandhya. S.S, Somasundaram. S &Ponraj. R, 2012, Some Results On Harmonic Mean Graphs, International Journal Contemporary Mathematical Sciences, Vol.7, No.4, PP. 197-208.

Sandhya. S.S, Somasundaram. S &Ponraj. R, 2012, Some More Results On Harmonic Mean Graphs, Journal of Mathematics Research, Vol.4, No. 1 PP. 21-29.

Sandhya. S and David Raj. C, Super harmonic mean labeling, proceedings of kanyakumari Academy of Arts and Sciences, Vol. 3, PP. 12-20, 2013.

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Published

2023-12-10

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