PELL LABELING FOR SOME GRAPHS

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SHIAMA, J. (2013). PELL LABELING FOR SOME GRAPHS. Asian Journal of Current Engineering and Maths, 2(4). Retrieved from http://innovativejournal.in/index.php/ajcem/article/view/187
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Abstract

I defined a new labeling and a new graph called Pell labeling and Pell graph. Let
G be a (p, q) graph. If there exists a mapping f: V(G) →{ 0,1, …., p-1} such that
the induced function f* : E(G) → N given by f*(uv) = f(u) +2 f(v) for every uv
E(G) are all distinct where u,v ≥ 0, then the function f is called a Pell labeling. A
graph which admits Pell labeling is called Pell graph. In this paper the Pell
labeling for some graphs like paths, cycles, stars, double stars, coconut tree,
bistar and Bm,n,k are investigated.

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