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Super Fibonacci Graceful Labelling of Some Cycle Related Graphs

Author(s):
S. Arthi , Sri Krishna arts and science college, Coimbatore; C. Karthikeyan, Sri Krishna arts and science college, Coimbatore; M. Abinaya, Sri Krishna arts and science college, Coimbatore; R. Swathi, Sri Krishna arts and science college, Coimbatore ; A. Madhumathi, Sri Krishna arts and science college, Coimbatore

Keywords:
Friendship Graph, The Graph (k4-e) ⁿ, Fibonacci Graceful Labelling and Super Fibonacci Graceful Labelling

Abstract

This paper discusses about the Fibonacci number and its functionf: V(G) →{0,F1,F2,……..Fq} is said to be Super Fibonacci graceful , ifthe induced edge labeling f *:E (G) →F1,F2,F3,…….Fq} and it is defined by f*(uv) =|f(u)-f(v)| is bijective. Some examples are given to illustrate the theory. In this paper Friendship graph and (k4-e) ⁿ graph are investigated.

Other Details
Paper ID: IJSRDV5I120176
Published in: Volume : 5, Issue : 12
Publication Date: 01/03/2018
Page(s): 225-226

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