CHROMATIC NUMBER, CHROMATIC POLYNOMIALS AND CHROMATIC UNIQUENESS OF SPLIT GRAPHS
Corresponding Author(s) : Le Xuan Hung
UED Journal of Social Sciences, Humanities and Education,
Vol. 4 No. 4 (2014): UED JOURNAL OF SOCIAL SCIENCES, HUMANITIES AND EDUCATION
The notion of split graphs was introduced in 1977 by S. Foldes and P.L. Hammer. These graphs have been extensively studied because they are in connection with combinatorial problems and computer science such as packing and knapsack problems, the matroid theory, Boolean function, the analysis of parallel processes of computer programs and the task allocation of distributed systems… One of the fundamental matters in graph theory is the graph coloring, especially the determination of chromatic number, chromatic polynomials, and the uniqueness of graph coloring. This paper determines the chromatic number, chromatic polynomials and chromatical uniqueness of split graphs.
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