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Feb 18, 2013 at 9:49 comment added Roland Bacher Parameters are $k$ and the numbers of vertices and edges of the initial graph.
Feb 17, 2013 at 13:23 comment added Günter Rote A "given concrete Sokoban problem" can be always be solved in constant time. To meaningfully speak of polynomial time requires a problem with some inputs, some parameters, with an infinite family of instances.
Feb 17, 2013 at 12:17 comment added Alexander Chervov Thank you for your answer ! Let me mention that what I describe in "Example of algorithm" is based on similar idea - create a "big-new-graph" and reduce the problem to existence of the path between two vertices in the "big-new-graph". What seems to be quite interesting to understand - how specific are these "Sokoban-graphs" ? Can we say in advance that it is better to use deepth-search instead of breadth-search algorithms ?
Feb 17, 2013 at 8:01 history answered Roland Bacher CC BY-SA 3.0