Local search can return arbitrarily bad colorings on general bipartite graphs, but a gray-box operator that biases against rare colors solves complete bipartite graphs in Θ(n log n) expected time.
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Local Search on Vertex Coloring for Bipartite Graphs
Local search can return arbitrarily bad colorings on general bipartite graphs, but a gray-box operator that biases against rare colors solves complete bipartite graphs in Θ(n log n) expected time.