Planar and Non Planar Construction of g- Uniquely Colorable Graph
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https://doi.org/10.14419/ijet.v7i4.10.26656
Received date: January 29, 2019
Accepted date: January 29, 2019
Published date: October 2, 2018
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Complement, Dual, Non Planar, Planar, Uniquely colorablegraphs. -
Abstract
A uniquely colorable graph G whose chromatic partition contains atleast one g - set is termed as a g - uniquely colorable graph. In this paper, we provide necessary and sufficient condition for and G* to be g - uniquely colorable whenever G g- uniquely colorable and also provide constructive characterization to show that whenever G is g- uniquely colorable such that |P | ³ 2, G can be both planarand non planar.
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References
- Bing Zhou, “On the maximum number of dominating classes in graph coloring”, Open Journal of Discrete Mathematics,Vol 6,(2016).pp.70 – 73.
- M. Yamuna, A. Elakkiya, “ - Uniquely colorable graphs”, IOPConf. Series: Materials Science and Engineering , Vol.263 ,( 2017).
- M. Yamuna, A. Elakkiya,” Planar graph characterization of - Uniquely colorable graphs”, IOP Conf. Series: Materials Sci-ence and Engineering ,Vol263, ( 2017 ).
- Yamuna, M., Elakkiya, A., “Non domination subdivision stable graphs”, IOP Conf. Series: Materials Science and Engineering. Vol 263, ( 2017 ).
- Yamuna, M., Elakkiya, A, “Planar graph characterization of NDSS graphs”, IOP Conf. Series: Materials Science and Engineering ,Vol 263 ,( 2017 ).
- Harary, F,Graph Theory, Addison Wesley, Narosa Publishing House, (2001).
- Haynes, T.W., Hedetniemi, S. T & Slater, P. J. Fundamentals of domination in graphs, New York, Marcel Dekker, ( 1998 ).
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How to Cite
Elakkiya, A., & Yamuna, M. (2018). Planar and Non Planar Construction of g- Uniquely Colorable Graph. International Journal of Engineering and Technology, 7(4.10), 998-1000. https://doi.org/10.14419/ijet.v7i4.10.26656
