Tight Bounds on the Clique Chromatic Number
نویسندگان
چکیده
The clique chromatic number of a graph is the minimum colours needed to colour its vertices so that no inclusion-wise maximal which not an isolated vertex monochromatic. We show every maximum degree $\Delta$ has $O\left(\frac{\Delta}{\log~\Delta}\right)$. obtain as corollary $n$-vertex $O\left(\sqrt{\frac{n}{\log ~n}}\right)$. Both these results are tight.
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ژورنال
عنوان ژورنال: Electronic Journal of Combinatorics
سال: 2021
ISSN: ['1077-8926', '1097-1440']
DOI: https://doi.org/10.37236/9659