Prime and odd prime graphs

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Abstract

An odd prime labeling of a graph $G$ is a labeling of the vertices with distinct positive integers from the set $\{1,3,5, \ldots, 2 n-1\}$, where $n$ is the number of vertices such that the labels of vertices are relatively prime to the labels of all adjacent vertices. Prime and an odd prime graphs for one point union of graphs, graphs with identification of some graphs and some graphs have been described in this paper.

Keywords:

Prime labeling, relatively prime, star, path, one point union of graphs, odd prime

Mathematics Subject Classification:

Mathematics
  • M. Simaringa Post Graduate and Research Department of Mathematics, Thiru Kolanjiyappar Government Arts College, Virudhachalam-606001, Tamil Nadu, India.
  • K. Santhoshkumar Post Graduate and Research Department of Mathematics, Thiru Kolanjiyappar Government Arts College, Virudhachalam-606001, Tamil Nadu, India.
  • Pages: 1105-1113
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

M. Simaringa, and K. Santhoshkumar. “Prime and Odd Prime Graphs”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 1105-13, https://www.malayajournal.org/index.php/mjm/article/view/1231.