[{"year":"2018","OA_type":"green","date_created":"2026-06-29T13:01:48Z","language":[{"iso":"eng"}],"abstract":[{"text":"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.","lang":"eng"}],"day":"25","article_number":"P1.19","volume":25,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1706.04164"}],"external_id":{"arxiv":["1706.04164"]},"intvolume":"        25","doi":"10.37236/7244","publication_status":"published","_id":"22206","date_updated":"2026-07-14T13:09:11Z","keyword":["Chip-firing","Metric graphs","Brill-Noether generality"],"quality_controlled":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_identifier":{"eissn":["1077-8926"]},"date_published":"2018-01-25T00:00:00Z","type":"journal_article","OA_place":"repository","arxiv":1,"issue":"1","article_processing_charge":"No","title":"Chip-firing on trees of loops","publisher":"The Electronic Journal of Combinatorics","publication":"The Electronic Journal of Combinatorics","author":[{"first_name":"Sameer","last_name":"Kailasa","full_name":"Kailasa, Sameer"},{"last_name":"Kuperberg","full_name":"Kuperberg, Vivian Zieve","id":"c3bac823-112d-11f0-a3f5-c264f852e697","first_name":"Vivian Zieve"},{"last_name":"Wawrykow","full_name":"Wawrykow, Nicholas","first_name":"Nicholas"}],"month":"01","scopus_import":"1","citation":{"mla":"Kailasa, Sameer, et al. “Chip-Firing on Trees of Loops.” <i>The Electronic Journal of Combinatorics</i>, vol. 25, no. 1, P1.19, The Electronic Journal of Combinatorics, 2018, doi:<a href=\"https://doi.org/10.37236/7244\">10.37236/7244</a>.","ista":"Kailasa S, Kuperberg VZ, Wawrykow N. 2018. Chip-firing on trees of loops. The Electronic Journal of Combinatorics. 25(1), P1.19.","chicago":"Kailasa, Sameer, Vivian Zieve Kuperberg, and Nicholas Wawrykow. “Chip-Firing on Trees of Loops.” <i>The Electronic Journal of Combinatorics</i>. The Electronic Journal of Combinatorics, 2018. <a href=\"https://doi.org/10.37236/7244\">https://doi.org/10.37236/7244</a>.","ama":"Kailasa S, Kuperberg VZ, Wawrykow N. Chip-firing on trees of loops. <i>The Electronic Journal of Combinatorics</i>. 2018;25(1). doi:<a href=\"https://doi.org/10.37236/7244\">10.37236/7244</a>","apa":"Kailasa, S., Kuperberg, V. Z., &#38; Wawrykow, N. (2018). Chip-firing on trees of loops. <i>The Electronic Journal of Combinatorics</i>. The Electronic Journal of Combinatorics. <a href=\"https://doi.org/10.37236/7244\">https://doi.org/10.37236/7244</a>","ieee":"S. Kailasa, V. Z. Kuperberg, and N. Wawrykow, “Chip-firing on trees of loops,” <i>The Electronic Journal of Combinatorics</i>, vol. 25, no. 1. The Electronic Journal of Combinatorics, 2018.","short":"S. Kailasa, V.Z. Kuperberg, N. Wawrykow, The Electronic Journal of Combinatorics 25 (2018)."},"article_type":"original","oa":1,"status":"public","oa_version":"Preprint","extern":"1"}]