Square Sum Labelling for Lobster and Fan Graph

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-9
Year of Publication : 2021
Authors : S.Uma Maheswari, S.Saranyadevi
  10.14445/22315373/IJMTT-V67I9P517

MLA

MLA Style: S.Uma Maheswari, S.Saranyadevi. "Square Sum Labelling for Lobster and Fan Graph" International Journal of Mathematics Trends and Technology 67.9 (2021):146-150. 

APA Style: S.Uma Maheswari, S.Saranyadevi(2021). Square Sum Labelling for Lobster and Fan Graph  International Journal of Mathematics Trends and Technology, 67(9), 146-150.

Abstract
Let G = (V, E) be a (p,q)-graph and let f: V(G)->{0,1,2,..., p-1} be a bijection. We define f* on E(G) by f * (uv) = [f(u)]2 + f(v)]2. If f* is injective on E(G), then f is called a squre sum labelling. The graph G is said to be a square sum graph if G admits a square sum labelling.

Reference

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Keywords : Square Sum Labelling, Labelling of Graph, the lobster, full n-ary tree, and the amalgamation of a fan and a star graph.