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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
Hadamard matrices modulo p and small modular Hadamard matrices
Vivian Kuperberg
We use modular symmetric designs to study the existence of Hadamard matrices modulo certain primes. We solve the -modular and -modular versions of the Hadamard conjecture fo…