Reconfiguration in bounded bandwidth and tree-depth
Copyright policy )Reconfiguration in bounded bandwidth and tree-depth
We show that several reconfiguration problems known to be PSPACE-complete remain so even when limited to graphs of bounded bandwidth. The essential step is noticing the similarity to very limited string rewriting systems, whose ability to directly simulate Turing Machines is classically known. This resolves a question posed open in [Bonsma P., 2012]. On the other hand, we show that a large class of reconfiguration problems becomes tractable on graphs of bounded treedepth, and that this result is in some sense tight.
14 pages
- Polish Academy of Sciences Poland
- Institute of Computer Science Poland
- University of Warsaw Library Poland
- University of Warsaw Poland
bandwidth, FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Treewidth, Analysis of algorithms and problem complexity, Tree-depth, G.2.2, Computational Complexity (cs.CC), Bandwidth, graph homomorphism, treewidth, reconfiguration, F.2.2; G.2.2; F.4.2, Graph homomorphism, recoloring, Computer Science - Computational Complexity, Graph theory (including graph drawing) in computer science, Reconfiguration, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), F.4.2, F.2.2, Recoloring, tree-depth, Computer Science - Discrete Mathematics
bandwidth, FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Treewidth, Analysis of algorithms and problem complexity, Tree-depth, G.2.2, Computational Complexity (cs.CC), Bandwidth, graph homomorphism, treewidth, reconfiguration, F.2.2; G.2.2; F.4.2, Graph homomorphism, recoloring, Computer Science - Computational Complexity, Graph theory (including graph drawing) in computer science, Reconfiguration, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), F.4.2, F.2.2, Recoloring, tree-depth, Computer Science - Discrete Mathematics
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