List of PSPACE-complete Problems - Graph Theory

Graph Theory

  • succinct versions of many graph problems, with graphs represented as Boolean circuits, ordered Binary Decision Diagrams or other related representations:
    • s-t reachability problem for succinct graphs. This is essentially the same as the simplest plan existence problem in automated planning and scheduling.
    • planarity of succinct graphs
    • acyclicity of succinct graphs
    • connectedness of succinct graphs
    • existence of Eulerian paths in a succinct graph
  • Canadian Traveller Problem.
  • Determining whether routes selected by the Border Gateway Protocol will eventually converge to a stable state for a given set of path preferences
  • Dynamic graph reliability.
  • Deterministic Constraint Logic (unbounded)
  • Nondeterministic Constraint Logic (unbounded)
  • Bounded two-player Constraint Logic

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