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Restricted Chip-Firing: Toric Toppling Ideals, Picard Groups, and Cellular Resolutions
We study certain groups and ideals arising from the chip-firing game on a generalisation of graphs called pargraphs. Several well-known families of toric ideals arise as toppling ideals of pargraphs. These include ideals defining rational normal curves, binomial edge ideals of complete graphs, and t
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