A Study on Total Coloring and Finding the Total Chromatic Number of Cycle, Butterfly and Web Graph

Authors

  • R. Nivetha  PG Student, Dr.SNS Rajalakshmi College for Arts and Science, Coimbatore, Tamil Nadu, India
  • H. Haseena Begum  Assistant professor, Department of Mathematics, Dr.SNS Rajalakshmi College for Arts and Science, Coimbatore, Tamil Nadu, India

DOI:

https://doi.org//10.32628/18410IJSRSET

Keywords:

Total Colouring, Total Chromatic Number, Cycle Graph, Butterfly Graph and Web Graph.

Abstract

In graph theory total colouring and total chromatic number plays a major role. In this paper, we study the concepts of total colouring and total chromatic number. Hence we obtain the total chromatic number of Cycle graph, Butterfly graph and Web graph using an algorithm.

References

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  3. Behzad,graphs and their chromatic numbers,ph.D thesis, michingan state university,1965.
  4. D. Xie and W. Yang, The total chromatic number of graphs of even order and high degree, Discrete Math., 271, 2003, 295-302.
  5. N. Vijayaditya, On total chromatic number of a graph, J. London Math Soc.2, 3, 1971, 405-408. 6].Y. Wang, M. Shangguan and Q. Li, On total chromatic number of planar graphs without 4-cycles, Science in China Series A, 50(1), 2007, 81-86.

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Published

2018-09-30

Issue

Section

Research Articles

How to Cite

[1]
R. Nivetha, H. Haseena Begum, " A Study on Total Coloring and Finding the Total Chromatic Number of Cycle, Butterfly and Web Graph, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 10, pp.98-103, September-October-2018. Available at doi : https://doi.org/10.32628/18410IJSRSET