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Fibonacci Cordial Labeling of Some Special Graphs
An injective function g: V(G) → {F0, F1, F2, . . . , Fn+1}, where Fj is the jth Fibonacci number (j = 0, 1, . . . , n+1), is said to be Fibonacci cordial labeling if the induced function g*: E(G) → {0, 1} defined by g * (xy) = (f (x) + f (y)) (mod2) satisfies the condition |eg (1) − eg (0)| ≤ 1. A graph having Fibonacci cordial labeling is called Fibonacci cordial graph.
In this paper, i inspect the existence of Fibonacci Cordial Labeling of DS(Pn), DS(DFn), Edge duplication in K1,n, Joint sum of Gl(n), DFn⊕ K1,n and ringsum of star graph with cycle with one chord and cycle with two chords respectively.
Keywords
Fibonacci Cordial Labeling, Degree Splitting, Edge Duplication, Joint Sum, Ring Sum.
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