A Study on Power-3 Heronian Odd Mean Labeling for some Path Related Graphs

Abstract

: In this article, we discussed Power-3 Heronian odd Mean Labeling for some path related graphs. A function is said to be Power 3 Heronian odd mean labeling of a graph G with q edges, if f is a bijective function from the vertices of G to the set{1,3,5,.......2p-1}such that when each edges uv is assigned the label, then the resulting edge labels are distinct numbers. ?^* (e=uv)=??(3&(??(u)?^3+(?(u)?(v))^(3/2)+??(v)?^3)/3)?

Introduction

Conclusion

In this article, we proved some families of graphs which admits Power-3 Heronian odd Mean Labeling .Therefore, Star Sn,Yn, Bistar are Power-3 Heronian Odd Mean Labeling

References

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Copyright

Copyright © 2023 P. Shalini, S. Tamizharasi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.