Dummy Fill as a Reduction to Chip-Firing
نویسنده
چکیده
A vertex that is ready may be fired by sending one chip along each edge, and two chips along each loop. We can visualize the firing two chips through a loop by imagining one chip sent on either connection of the loop to the vertex, so that the two chips pass each other within the loop. The game begins by specifying an initial configuration c0 and repeatedly firing vertices that are ready. The game terminates at a final configuration cE when no vertex is ready. Otherwise, the game continues indefinitely.
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