Problem 10.6: On-Line Coloring


In the paper

M.M. Halldórsson and M. Szegedy, Lower Bounds for On-line Graph Coloring, Theoretical Computer Science 130, 163-174, 1994

the authors prove a lower bound for the performance function which is better than the bound given on page 173 in Graph Coloring Problems by a factor of 2, that is, they prove

ρA(n) ≥ 2n / (log n)2

More details can be found in the abstract.

September 1997, T.R. Jensen.


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Last modified September 1, 1997 Tommy R. Jensen