The complexity of independent set reconfiguration on bipartite graphs

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Association for Computing Machinery

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We settle the complexity of the Independent Set Reconfiguration problem on bipartite graphs under all three commonly studied reconfiguration models. We show that under the token jumping or token addition/ removal model, the problem is NP-complete. For the token sliding model, we show that the problem remains PSPACE-complete. © 2018 Association for Computing Machinery.

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Bipartite graphs, Independent set, Reconfiguration, Solution space, Vertex cover, Algorithms, Mathematical techniques, Graph theory

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