Abstracts for the Seminar
 Discrete Geometry and Combinatorics
 Spring 2019

Speaker:  David Perkinson, Reed College and MIT
Title: Enumerating Linear Systems on Graphs
Time: 2:30 PM, Monday, April 22, 2019
Place:  Malott 206

Abstract: To play the dollar game on a graph, start by assigning to each vertex a number of dollars of either wealth or debt. From this initial state, called a "divisor", the vertices lend and borrow with their neighbors according to chip-firing rules in an attempt to reach a debt-free state. The set of all possible winning states is the "complete linear system" of the divisor. We are interested in determining its cardinality. This is joint work with Sarah Brauner and Forrest Glebe.



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