alexa New Results on Vertex Prime Graphs
ISSN ONLINE(2319-8753)PRINT(2347-6710)

International Journal of Innovative Research in Science, Engineering and Technology
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Research Article

New Results on Vertex Prime Graphs

Dr. A. Selvam Avadayappan1, R. Sinthu2
  1. Associate Professor, Department of Mathematics, V.H.N.S.N. College, Virudhunagar, Tamil Nadu, India
  2. Research Scholar, Department of Mathematics, V.H.N.S.N. College, Virudhunagar, Tamil Nadu, India
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A graph G(V, E) is said to have a vertex prime labeling if its edges can be labeled with distinct integers from1, 2, 3, . . . , E such that for each vertex of degree at least 2, the greatest common divisor of the labels on its incident edges is 1. A graph that admits a vertex prime labeling is called a vertex prime graph. In this paper, we prove that mK3,3 and mK4,4 are vertex prime graphs, where m is any positive integer.


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