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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Self-adjusting mutation rates let the (1+1) EA optimize the top k bits of BinVal in O(k^{1+ε}) time independent of n for all k in o(n) simultaneously.
Gray-box operators enable RLS to achieve expected O(n log n) runtime for proper 2-colorings in bipartite graphs, unlike standard (1+1) EA which requires plateau guidance.
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Anytime Analysis on BinVal: Adaptive Parameters Help
Self-adjusting mutation rates let the (1+1) EA optimize the top k bits of BinVal in O(k^{1+ε}) time independent of n for all k in o(n) simultaneously.