Aug 25, 2019 · The dollar game is a chip-firing game introduced by Baker and Norine (2007) as a context in which to formulate and prove the Riemann-Roch theorem for graphs.
Aug 27, 2020 · Abstract. The dollar game is a chip-firing game introduced by Baker as a context in which to formulate and prove the Riemann-Roch theorem ...
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The dollar game is a chip-firing game introduced by Baker as a context in which to formulate and prove the Riemann-Roch theorem for graphs.
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The theory of divisors on graphs is a subject that has been discovered independently through a variety of mathematical models. It closely resembles the ...
Abstract. We generalize the theory of critical groups from graphs to simplicial complexes. Specifically, given a simplicial complex, we define a family of ...
Abstract. We generalize the theory of critical groups from graphs to sim- plicial complexes. Specifically, given a simplicial complex, we define a family.
for our chip-firing games on graphs. One can mimic this construction with a. 2-dimensional boundary map on a 2-dimensional simplicial complex, but in this.
The algebra of trees is key in studying dynamical systems on graphs, notably the abelian sandpile model (known in other forms as the chip-firing game or dollar ...
game is called the dollar game, and dollars are used instead of chips. Here, however, we stick to the term chip firing game for this new game. 2 Preliminars.