MC

Current Trends in Science and Technology

an Open Access Publication ISSN: 0976-9730 | 0976-9498

Maths

Cubic Difference Prime Labeling of Some Path Related Graphs

Sunoj B S, Mathew Varkey T K
Department of Mathematics,Government Polytechnic College, Attingal, Kerala, India1 Department of Mathematics,T K M College of Engineering , Kollam 5, Kerala, India2
Online First: September 03, 2017
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Abstract

Cubic difference prime labeling of a graph is the labeling 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 cube difference prime labeling. Here we identify some path related graphs for cubic difference prime labeling.

Keyword : Graph labeling, greatest common incidence number, cubic difference, prime labeling, paths.

  Submitted
Sep 25, 2017
Published
Sep 3, 2017
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