Lehmer 3 –Mean Labeling of Some New Disconnected Graphs

T.S.Pavithra; S.S.Sandhya; S.Somasundaram

doi:https://doi.org/10.14445/22315373/IJMTT-V35P501

International Journal of Mathematics Trends and Technology

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Volume 35 | Number 1 | Year 2016 | Article Id. IJMTT-V35P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V35P501

Lehmer 3 –Mean Labeling of Some New Disconnected Graphs

T.S.Pavithra , S.S.Sandhya , S.Somasundaram

Abstract

A graph G=(V,E) with P vertices and q edges is called Lehmer -3 mean graph ,if it is possible to label vertices x ЄV with distinct label f(x) from 1,2,3,………….q+1 in such a way that when each edge e=uv is labeled with f(e=uv)= 𝑓(𝑢) 3+𝑓(𝑣) 3 𝑓(𝑢) 2+𝑓(𝑣) 2 (or) 𝑓(𝑢) 3+𝑓(𝑣) 3 𝑓(𝑢) 2+𝑓(𝑣) 2 , then the edge labels are distinct. In this case f is called Lehmer -3 mean labeling of G. In this paper we investigate Lehmer -3 mean labeling of some standard graphs

Keywords

Graph, Path, Cycle, Comb, Crown, Ladder.

References

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Citation :

T.S.Pavithra , S.S.Sandhya , S.Somasundaram, "Lehmer 3 –Mean Labeling of Some New Disconnected Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 35, no. 1, pp. 1-14, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V35P501