{"id":"https://openalex.org/W4403503836","doi":"https://doi.org/10.1142/s0218196724500528","title":"The algebraic structure of hyperbolic graph braid groups","display_name":"The algebraic structure of hyperbolic graph braid groups","publication_year":2024,"publication_date":"2024-10-18","ids":{"openalex":"https://openalex.org/W4403503836","doi":"https://doi.org/10.1142/s0218196724500528"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196724500528","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500528","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repository.lsu.edu/mathematics_pubs/1473","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026724615","display_name":"Benjamin A. Appiah","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Benjamin Appiah","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068205495","display_name":"Pallavi Dani","orcid":"https://orcid.org/0000-0001-7653-2618"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pallavi Dani","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042192813","display_name":"Wenchao Ge","orcid":"https://orcid.org/0000-0003-1936-7710"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wayne Ge","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Christopher Hudson","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher Hudson","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Saumya Jain","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saumya Jain","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5094157153","display_name":"Matthew Lemoine","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew Lemoine","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111193610","display_name":"Jake Murphy","orcid":"https://orcid.org/0009-0009-8423-0260"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jake Murphy","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069603784","display_name":"Justin Murray","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Justin Murray","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5094157152","display_name":"Adithyan Pandikkadan","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Adithyan Pandikkadan","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085409576","display_name":"Kevin Schreve","orcid":"https://orcid.org/0000-0002-3163-3404"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kevin Schreve","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009595086","display_name":"Huong Vo","orcid":"https://orcid.org/0000-0002-5870-0435"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Huong Vo","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":11,"corresponding_author_ids":["https://openalex.org/A5026724615"],"corresponding_institution_ids":["https://openalex.org/I121820613"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27633566,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"03","first_page":"329","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9641000032424927,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9557999968528748,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9384716153144836},{"id":"https://openalex.org/keywords/braid-group","display_name":"Braid group","score":0.7268112897872925},{"id":"https://openalex.org/keywords/algebraic-graph-theory","display_name":"Algebraic graph theory","score":0.5809913277626038},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5020632743835449},{"id":"https://openalex.org/keywords/braid-theory","display_name":"Braid theory","score":0.5000464916229248},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48795217275619507},{"id":"https://openalex.org/keywords/braid","display_name":"Braid","score":0.48431411385536194},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.42105865478515625},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3679608702659607},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3655119836330414},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3459731340408325},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06847444176673889}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9384716153144836},{"id":"https://openalex.org/C33840335","wikidata":"https://www.wikidata.org/wiki/Q220409","display_name":"Braid group","level":2,"score":0.7268112897872925},{"id":"https://openalex.org/C25799778","wikidata":"https://www.wikidata.org/wiki/Q4724003","display_name":"Algebraic graph theory","level":3,"score":0.5809913277626038},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5020632743835449},{"id":"https://openalex.org/C147441545","wikidata":"https://www.wikidata.org/wiki/Q220409","display_name":"Braid theory","level":3,"score":0.5000464916229248},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48795217275619507},{"id":"https://openalex.org/C124194741","wikidata":"https://www.wikidata.org/wiki/Q320809","display_name":"Braid","level":2,"score":0.48431411385536194},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42105865478515625},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3679608702659607},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3655119836330414},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3459731340408325},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06847444176673889},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196724500528","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500528","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-2475","is_oa":true,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/1473","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:repository.lsu.edu:mathematics_pubs-2475","is_oa":true,"landing_page_url":"https://repository.lsu.edu/mathematics_pubs/1473","pdf_url":null,"source":{"id":"https://openalex.org/S4210169993","display_name":"Civil War Book Review","issn_l":"1528-6592","issn":["1528-6592"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310315936","host_organization_name":"Louisiana State University","host_organization_lineage":["https://openalex.org/P4310315936"],"host_organization_lineage_names":["Louisiana State University"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1963675724","https://openalex.org/W1969917473","https://openalex.org/W1988201431","https://openalex.org/W1997472401","https://openalex.org/W2064020260","https://openalex.org/W2098441350","https://openalex.org/W2314367679","https://openalex.org/W2715130629","https://openalex.org/W2795728539","https://openalex.org/W2950747951","https://openalex.org/W3093843164"],"related_works":["https://openalex.org/W1859278099","https://openalex.org/W2963628972","https://openalex.org/W4298849474","https://openalex.org/W4363678311","https://openalex.org/W2951598886","https://openalex.org/W1846674139","https://openalex.org/W2094080661","https://openalex.org/W2153982254","https://openalex.org/W3037178427","https://openalex.org/W2945083448"],"abstract_inverted_index":{"Genevois":[0],"recently":[1],"classified":[2],"which":[3],"graph":[4],"braid":[5,42,60],"groups":[6,21,43,61],"are":[7,22,47],"word":[8,19],"hyperbolic.":[9],"In":[10],"the":[11,50],"3-strand":[12,41,59],"case,":[13],"he":[14],"asked":[15],"whether":[16],"all":[17],"such":[18],"hyperbolic":[20],"actually":[23],"free;":[24],"this":[25,75],"reduced":[26],"to":[27,56],"checking":[28],"two":[29],"infinite":[30],"classes":[31],"of":[32,44,62,74],"graphs:":[33],"sun":[34,45],"and":[35,76],"pulsar":[36,64],"graphs.":[37],"We":[38,69],"prove":[39,77],"that":[40,58],"graphs":[46,65],"free.":[48],"On":[49],"other":[51],"hand,":[52],"it":[53],"was":[54],"known":[55],"experts":[57],"most":[63],"contain":[66],"surface":[67],"subgroups.":[68],"provide":[70],"a":[71],"simple":[72],"proof":[73],"an":[78],"additional":[79],"structure":[80],"theorem":[81],"for":[82],"these":[83],"groups.":[84]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}