Chip-firing on trees of loops
Kailasa S, Kuperberg VZ, Wawrykow N. 2018. Chip-firing on trees of loops. The Electronic Journal of Combinatorics. 25(1), P1.19.
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Author
Kailasa, Sameer;
Kuperberg, Vivian ZieveISTA;
Wawrykow, Nicholas
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.
Keywords
Publishing Year
Date Published
2018-01-25
Journal Title
The Electronic Journal of Combinatorics
Publisher
The Electronic Journal of Combinatorics
Volume
25
Issue
1
Article Number
P1.19
eISSN
IST-REx-ID
Cite this
Kailasa S, Kuperberg VZ, Wawrykow N. Chip-firing on trees of loops. The Electronic Journal of Combinatorics. 2018;25(1). doi:10.37236/7244
Kailasa, S., Kuperberg, V. Z., & Wawrykow, N. (2018). Chip-firing on trees of loops. The Electronic Journal of Combinatorics. The Electronic Journal of Combinatorics. https://doi.org/10.37236/7244
Kailasa, Sameer, Vivian Zieve Kuperberg, and Nicholas Wawrykow. “Chip-Firing on Trees of Loops.” The Electronic Journal of Combinatorics. The Electronic Journal of Combinatorics, 2018. https://doi.org/10.37236/7244.
S. Kailasa, V. Z. Kuperberg, and N. Wawrykow, “Chip-firing on trees of loops,” The Electronic Journal of Combinatorics, vol. 25, no. 1. The Electronic Journal of Combinatorics, 2018.
Kailasa S, Kuperberg VZ, Wawrykow N. 2018. Chip-firing on trees of loops. The Electronic Journal of Combinatorics. 25(1), P1.19.
Kailasa, Sameer, et al. “Chip-Firing on Trees of Loops.” The Electronic Journal of Combinatorics, vol. 25, no. 1, P1.19, The Electronic Journal of Combinatorics, 2018, doi:10.37236/7244.
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