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The Four Color Theorem with Linearly Many Reducible Configurations and Near-Linear Time Coloring

Inoue, Yuta et al.
arXiv (All) · Papers
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combinatoricscomputational-geometrydata-structures-and-algorithmsdiscrete-mathematics
We give a near-linear time 4-coloring algorithm for planar graphs, improving on the previous quadratic time algorithm by Robertson et al. from 1996. Such an algorithm cannot be achieved by the known proofs of the Four Color Theorem (4CT). Technically speaking, we show the following significant gener
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