The minimum recoloring problem to eliminate p-illusion is NP-hard on general directed graphs and bipartite DAGs but solvable in polynomial time on trees, cycles, and outerplanar networks.
On integer programming, discrepancy, and convolution.Mathematics of Operations Research, 48(3):1481–1495
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Eliminating Illusion in Directed Networks
The minimum recoloring problem to eliminate p-illusion is NP-hard on general directed graphs and bipartite DAGs but solvable in polynomial time on trees, cycles, and outerplanar networks.