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CUBIC DIFFERENCE PRIME LABELLING OF SOME PLANAR GRAPHS
SUNOJ B S and MATHEW VARKEY T K

Published in: Journal for Advance Research in Applied Sciences
Volume- 4, Issue-4, pp.1-6, Sep 2017
DPI :-> 16.10089.JARAS.2017.V4I4.16.1935



Abstract
Cubic difference prime labelling of a graph is the labelling of the vertices with {0, 1, 2---------, p-1} and the edges with absolute difference of the cubes of the labels of the incident vertices. The greatest common incidence number of a vertex (gcin) of degree greater than one is defined as the greatest common divisor of the labels of the incident edges. If the gcin of each vertex of degree greater than one is one, then the graph admits cubic difference prime labelling. Here we identify some planar graphs for cubic difference prime labelling.

Key-Words / Index Term
Graph labelling, greatest common incidence number, cubic difference, prime labelling, planar graphs.

How to cite this article
SUNOJ B S and MATHEW VARKEY T K , “CUBIC DIFFERENCE PRIME LABELLING OF SOME PLANAR GRAPHS”, Journal for Advance Research in Applied Sciences, 4, Issue-4, pp.1-6, Sep 2017. DPI:16.10089.JARAS.V4.I4.1935