2017/06/13 by Sameer Kailasa, Kailasa, Sameer, Vivian Kuperberg +3
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO
paper · pdf · doi:10.48550/arxiv.1706.04164
10 pages, 4 figures
arxiv created 2017/06/13 · arxiv updated 2017/06/14
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 "trees of loops": the only trees of loops that are Brill-Noether general are paths of loops. We study various notions of generality and examine which of these graphs satisfy them.