LIPSCHITZ LABELING OF SOME STAR GRAPHS

Authors

  • P. Umapathi and S.Magudeeswaran Author

Abstract

Lipschitz labelling on graph is a function  from the vertex set and edge set of the graph to  where  and  such that

  • is bijective.
  • for all  
  • for all  
  • There exists a positive integer such that

for all  and  for .

We study the problem of Lipschitz labelling within the context of structured graphs. Specifically, we establish the Lipschitz constants for three families of star-derived graphs: twinkling star graphs with ray of length , triangular graphs  and bistar graphs .

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Published

2026-07-20

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Section

Articles