Super Lehmer-3 Mean Labeling


  •  S. Somasundaram    
  •  S. Sandhya    
  •  T. Pavithra    

Abstract

Let f:V(G)->{1,2,.....p+q} be an injective function .The induced edge labeling f*(e=uv) is defined by ,f*(e)=[(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 f is called Super Lehmer-3 mean labeling, if {f (V(G))} U {f(e)/e ∈ E(G)}={1,2,3,.....p+q}, A graph which admits Super Lehmer-3 Mean labeling is called Super Lehmer-3 Mean graph.
In this paper we prove that Path, Comb, Ladder, Crown are Super Lehmer-3 mean graphs.


This work is licensed under a Creative Commons Attribution 4.0 License.
  • ISSN(Print): 1916-9795
  • ISSN(Online): 1916-9809
  • Started: 2009
  • Frequency: bimonthly

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