Prime Coloring of Crossing Number Zero Graphs

  • P. Murugarajan Veltech Ranga Sanku Arts College, Avadi, Chennai-62, India.
  • R. Aruldoss Government Arts College (A), Kumbakonam- 612 002, Chennai, India.
Keywords: Prime graph, Vertex Coloring, Prime Coloring

Abstract

In this paper, prime coloring and its chromatic number of some crossing number zero graphs are depicted and its results are vali-dated with few theorems. Prime Coloring is defined as G be a loop less and Without multiple edges with n distinct Vertices on Color class C={c1,c2,c3,…..cn} a bijection ψ:V {c1,c2,c3,…..cn} if for each edge e = cicj ,i≠j , gcd{ ψ (ci), ψ (cj)}=1, ψ (ci) and ψ (cj) receive distinct Colors. The Chromatic number of Prime coloring is minimum cardinality taken by all the Prime colors. It is denoted by η (G).

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References

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Published
2019-09-11
How to Cite
P. Murugarajan, and R. Aruldoss. 2019. “Prime Coloring of Crossing Number Zero Graphs”. Mathematical Journal of Interdisciplinary Sciences 8 (1), 15-19. https://doi.org/10.15415/mjis.2019.81003.
Section
Articles