Chip-Firing on Trees of Loops

Chip-Firing on Trees of Loops

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 v...

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Veröffentlicht in:The Electronic journal of combinatorics 2018-01, Vol.25 (1)
Hauptverfasser: Kailasa, Sameer, Kuperberg, Vivian, Wawrykow, Nicholas
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1077-8926
1077-8926
DOI:10.37236/7244