Chip-firing on trees of loops
classification
🧮 math.CO
keywords
loopsbrill-noethertreesgeneralgeneralitygraphspathschip-firing
read the original abstract
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.
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