Lucky \(\chi\)-polynomial of graphs of order 5
Abstract
The concept of Lucky \(k\)-polynomials was recently introduced for null and complete split graphs. This paper extends on the introductory work and presents Lucky \(\chi\)-polynomials \((k=\chi(G))\) for graphs of order 5 . The methodical work done for graphs of order 5 serves mainly to set out the fundamental method to be used for all other classes of graphs. Finally, further problems for research related to this concept are presented.
Keywords:
Chromatic completion number, chromatic completion graph, chromatic completion edge, bad edge, Lucky \(chi\)-polynomial , Lucky \(k\)-polynomialMathematics Subject Classification:
Mathematics- Pages: 767-764
- Date Published: 01-07-2020
- Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
J.A. Bondy and U.S.R. Murty. Graph Theory with Applications. Macmillan Press, London, 2017.
F. Harary. Graph Theory. Addison-Wesley, Reading MA, 1969.
J. Kok. Chromatic completion number. Communicated.
J. Kok. Stability in respect of chromatic completion of graphs. Communicated.
J. Kok. Lucky k-polynomials for null and complete split graphs. Communicated.
E.G. Mphako-Banda. An introduction to the k-defect polynomials. Quaestiones Mathematicae., 1-10, 2018.
B. West. Introduction to Graph Theory. Prentice-Hall, Upper Saddle River, 1996.
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