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math.CO2017
Chip-firing on trees of loops
Sameer Kailasa, Vivian Kuperberg, Nicholas Wawrykow
Cools, Draisma, Payne, and Robeva proved that generic metric graphs that are "paths of loops" are Brill-Noether general. We show that Brill-Noether generality does not hold for "tr…
math.CO2014
Realization of groups with pairing as Jacobians of finite graphs
Louis Gaudet, David Jensen, Dhruv Ranganathan +2
We study which groups with pairing can occur as the Jacobian of a finite graph. We provide explicit constructions of graphs whose Jacobian realizes a large fraction of odd groups w…