Radio Geometric Mean Labeling of Some Star Like Graphs

Authors

  • V. Hemalatha Department of Mathematics, Vivekanandha College of Technology for Women, Tiruchengode
  • V. Mohanaselvi PG and Research Department of Mathematics, Nehru Memorial College, Puthanampatti
  • K. Amuthavalli PG and Research Department of Mathematics, Govt. Arts and Science College, Ariyalur

DOI:

https://doi.org/10.26713/jims.v9i3.1017

Keywords:

Radio Geometric Mean labeling, Star, Bistar, Diameter, Lotus inside a circle, \(k\)-ary tree

Abstract

A radio Geometric Mean Labeling of a connected graph \(G\) is a one to one map \(f\) from the vertex set \(V(G)\) to the set of natural numbers \(N\) such that for two distinct vertices \(u\) and \(v\) of \(G\), \(d\left(u,v\right)+\left\lceil \sqrt{f(u)f(v)} \right\rceil \ge 1+\mathrm{diam}(G)\). The radio geometric mean number of \(f,\, r_{gmn} (f)\) is the maximum number assigned to any vertex of \(G\). The radio geometric mean number of \(G\), \(r_{gmn} (G)\) is the minimum value of \(r_{gmn} (f)\) taken over all radio geometric mean labeling \(f\) of \(G\). In this paper, we find the radio geometric mean number of some star like graphs.

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References

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Published

October 30, 2017

Issue

Vol. 9 No. 3 (2017)

Section

Research Article

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How to Cite

Hemalatha, V., Mohanaselvi, V., & Amuthavalli, K. (2017). Radio Geometric Mean Labeling of Some Star Like Graphs. Journal of Informatics and Mathematical Sciences, 9(3), 969-977. https://doi.org/10.26713/jims.v9i3.1017