Fibonacci and Super Fibonacci Graceful Labeling of Some Graphs

S. K. Vaidya

Abstract


Abstract: In the present work we discuss the existence and non-existence of Fibonacci and super Fibonacci graceful labeling for certain graphs. We also show that the graph obtained by switching a vertex in cycle Cn, (where n >= 6 ) is not super Fibonacci graceful but it can be embedded as an induced subgraph of a super Fibonacci graceful graph.
Key words: Graceful Labeling; Fibonacci Graceful Labeling; Super Fibonacci Graceful Labeling

Keywords


Graceful Labeling; Fibonacci Graceful Labeling; Super Fibonacci Graceful Labeling

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References


Gallian, J.A.,(2010). A Dynamic Survey of Graph Labeling. The Electronics Journal of Combinatorics,17, # DS6.

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Rosa, A.(1967). On Certain Valuation of the Vertices of a Graph. Theory of Graphs, (Internat. Symposium, Rome, July 1966). Gordan and Breach, N.Y. and Dunod Paris. 349-355




DOI: http://dx.doi.org/10.3968/j.sms.1923845220120202.002

DOI (PDF): http://dx.doi.org/10.3968/g1580

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