{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,6]],"date-time":"2025-05-06T04:00:49Z","timestamp":1746504049832,"version":"3.40.4"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"name":"National Science Foundation","award":["2231492","2203325"],"award-info":[{"award-number":["2231492","2203325"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2025,5]]},"abstract":"<jats:p> Genevois recently classified which graph braid groups are word hyperbolic. In the 3-strand case, he asked whether all such word hyperbolic groups are actually free; this reduced to checking two infinite classes of graphs: sun and pulsar graphs. We prove that 3-strand braid groups of sun graphs are free. On the other hand, it was known to experts that 3-strand braid groups of most pulsar graphs contain surface subgroups. We provide a simple proof of this and prove an additional structure theorem for these groups. <\/jats:p>","DOI":"10.1142\/s0218196724500528","type":"journal-article","created":{"date-parts":[[2024,10,18]],"date-time":"2024-10-18T02:06:52Z","timestamp":1729217212000},"page":"329-342","source":"Crossref","is-referenced-by-count":0,"title":["The algebraic structure of hyperbolic graph braid groups"],"prefix":"10.1142","volume":"35","author":[{"given":"Benjamin","family":"Appiah","sequence":"first","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Pallavi","family":"Dani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wayne","family":"Ge","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christopher","family":"Hudson","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Saumya","family":"Jain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matthew","family":"Lemoine","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jake","family":"Murphy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Justin","family":"Murray","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Adithyan","family":"Pandikkadan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kevin","family":"Schreve","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huong","family":"Vo","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,4,17]]},"reference":[{"doi-asserted-by":"publisher","key":"S0218196724500528BIB002","DOI":"10.1080\/00029890.2002.11919847"},{"issue":"2","key":"S0218196724500528BIB004","first-page":"149","volume":"13","author":"Bestvina M.","year":"2008","journal-title":"Math. 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