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.
@article{10_37236_7244,
author = {Sameer Kailasa and Vivian Kuperberg and Nicholas Wawrykow},
title = {Chip-firing on trees of loops},
journal = {The electronic journal of combinatorics},
year = {2018},
volume = {25},
number = {1},
doi = {10.37236/7244},
zbl = {1418.14008},
url = {http://geodesic.mathdoc.fr/articles/10.37236/7244/}
}
TY - JOUR
AU - Sameer Kailasa
AU - Vivian Kuperberg
AU - Nicholas Wawrykow
TI - Chip-firing on trees of loops
JO - The electronic journal of combinatorics
PY - 2018
VL - 25
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.37236/7244/
DO - 10.37236/7244
ID - 10_37236_7244
ER -
%0 Journal Article
%A Sameer Kailasa
%A Vivian Kuperberg
%A Nicholas Wawrykow
%T Chip-firing on trees of loops
%J The electronic journal of combinatorics
%D 2018
%V 25
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/7244/
%R 10.37236/7244
%F 10_37236_7244
Sameer Kailasa; Vivian Kuperberg; Nicholas Wawrykow. Chip-firing on trees of loops. The electronic journal of combinatorics, Tome 25 (2018) no. 1. doi: 10.37236/7244
