Chip-firing on trees of loops
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2017
- DOI:
- 10.48550/arXiv.1706.04164
- arXiv:
- arXiv:1706.04164
- Bibcode:
- 2017arXiv170604164K
- Keywords:
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- Mathematics - Combinatorics
- E-Print:
- 10 pages, 4 figures