{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T09:00:28Z","timestamp":1784883628414,"version":"3.55.0"},"reference-count":24,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-2054135"],"award-info":[{"award-number":["DMS-2054135"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Discrete Math."],"published-print":{"date-parts":[[2026,9,30]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>We provide a new perspective on the divisor theory of graphs, using additive combinatorics. As a test case for this perspective, we compute the gonality of certain families of outerplanar graphs, specifically the strip graphs. The Jacobians of such graphs are always cyclic of Fibonacci order. As a consequence, we obtain several results on the additive properties of Fibonacci numbers.<\/jats:p>","DOI":"10.1137\/24m1691612","type":"journal-article","created":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T08:00:27Z","timestamp":1784880027000},"page":"1206-1228","source":"Crossref","is-referenced-by-count":0,"title":["Fibonacci Sumsets and the Gonality of Strip Graphs"],"prefix":"10.1137","volume":"40","author":[{"given":"David","family":"Jensen","sequence":"first","affiliation":[{"name":"Mathematics, University of Kentucky, Lexington, KY 40506-0027 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5131-6089","authenticated-orcid":true,"given":"Doel","family":"Rivera Laboy","sequence":"additional","affiliation":[{"name":"Mathematics, University of Kentucky, Lexington, KY 40506-0027 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2026,7,24]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1307\/mmj\/1519095622"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.2140\/ant.2008.2.613"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-30945-3_11"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2007.04.012"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2012.07.011"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1080\/00150517.2022.12427432"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(97)00228-4"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.37236\/7302"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.26493\/2590-9770.1792.fb4"},{"key":"ref10","doi-asserted-by":"crossref","unstructured":"S. Chaiken, A combinatorial proof of the all minors matrix tree theorem, SIAM J. Algebraic Discrete Methods, 3 (1982), pp. 319\u2013329, https:\/\/doi.org\/10.1137\/0603033.","DOI":"10.1137\/0603033"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.5614\/ejgta.2023.11.2.2"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.1613"},{"key":"ref13","volume-title":"Grad. Texts in Math. 173","author":"Diestel R.","year":"2018","edition":"5"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2023.113539"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1080\/00150517.2003.12428552"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-011-5020-0_16"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2020.08.013"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2021.11.003"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1137\/16M1095329"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1975.11993767"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1515\/jmc.2010.002"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1080\/00150517.1977.12430493"},{"key":"ref23","first-page":"941","volume":"3","author":"van Dobben de Bruyn J.","year":"2020","journal-title":"Algebr. Comb."},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2022.105619"}],"container-title":["SIAM Journal on Discrete Mathematics"],"original-title":[],"language":"en","deposited":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T08:00:29Z","timestamp":1784880029000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M1691612"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7,24]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2026,9,30]]}},"alternative-id":["10.1137\/24M1691612"],"URL":"https:\/\/doi.org\/10.1137\/24m1691612","relation":{},"ISSN":["0895-4801","1095-7146"],"issn-type":[{"value":"0895-4801","type":"print"},{"value":"1095-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,7,24]]}}}