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A PSPACE-complete Graph Nim

We build off the game, NimG to create a version named Neighboring Nim. By reducing from Geography, we show that this game is PSPACE-hard. The games created by the reduction share strong similarities with Undirected (Vertex) Geography and regular Nim, both of which are in P. We show how to construct PSPACE-complete versions with nim heaps *1 and *2. This application of graphs can be used as a form of game sum with any games, not only Nim.

preprint2014arXivOpen access
Kyle BurkeOlivia George
math.COComputer Science and Game TheoryComputational Complexity
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Kyle BurkeOlivia George

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