importantSYS.SOURCE: arXiv• 2026-07-31T06:00:34Z

Efficient k-Coloring Algorithm Outperforms Chromatic Number Computation

#graph theory #algorithm optimization #complexity analysis #randomized algorithms #coloring problems

The paper presents a randomized algorithm for k-coloring n-vertex graphs with time complexity (2-ε_k)^n, improving upon the previous O*(2^n) method for computing the chromatic number. It combines techniques from list-coloring reductions and hypergraph-containers to achieve this result.

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