{"id":"https://openalex.org/W4402527419","doi":"https://doi.org/10.1142/s0218196724500498","title":"A fast algorithm for Stallings foldings over virtually free groups","display_name":"A fast algorithm for Stallings foldings over virtually free groups","publication_year":2024,"publication_date":"2024-09-13","ids":{"openalex":"https://openalex.org/W4402527419","doi":"https://doi.org/10.1142/s0218196724500498"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196724500498","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500498","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092741844","display_name":"Sam Cookson","orcid":null},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Samuel Cookson","raw_affiliation_strings":["New Brunswick Institute for Research, Data and Training (NB-IRDT), Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New Brunswick Institute for Research, Data and Training (NB-IRDT), Canada","institution_ids":["https://openalex.org/I106938459"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033224034","display_name":"Nicholas Touikan","orcid":"https://orcid.org/0000-0001-8848-2494"},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Nicholas Touikan","raw_affiliation_strings":["Department of Mathematics & Statistics, University of New Brunswick, Fredericton, Canada"],"raw_orcid":"https://orcid.org/0000-0001-8848-2494","affiliations":[{"raw_affiliation_string":"Department of Mathematics & Statistics, University of New Brunswick, Fredericton, Canada","institution_ids":["https://openalex.org/I106938459"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5092741844"],"corresponding_institution_ids":["https://openalex.org/I106938459"],"apc_list":null,"apc_paid":null,"fwci":0.9538,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74087119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"34","issue":"08","first_page":"1225","last_page":"1252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9804999828338623,"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":0.9804999828338623,"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/T11737","display_name":"Advanced Materials and Mechanics","score":0.97079998254776,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.95660001039505,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7954980134963989},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.587921142578125},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40353265404701233}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7954980134963989},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.587921142578125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40353265404701233}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196724500498","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500498","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1493863997","https://openalex.org/W1986022261","https://openalex.org/W1993901943","https://openalex.org/W2039006723","https://openalex.org/W2075559395","https://openalex.org/W2143834829","https://openalex.org/W2153126460","https://openalex.org/W2153632678","https://openalex.org/W2156821407","https://openalex.org/W2406076324","https://openalex.org/W2964135665","https://openalex.org/W2991458296","https://openalex.org/W4292101339"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0,107],"give":[1,109],"a":[2,17,23,29,115,120],"simple":[3,76],"algorithm":[4,74,111],"to":[5,60,69,78,90,112],"solve":[6],"the":[7,34,49,52,56],"subgroup":[8,35,118],"membership":[9,36],"problem":[10,37],"for":[11,97],"virtually":[12,25,121],"free":[13,26,122],"groups":[14],"given":[15,89],"as":[16],"graph":[18],"of":[19,51,55,119],"finite":[20],"groups.":[21],"For":[22,62],"fixed":[24,30],"group":[27,123],"with":[28,58],"generating":[31],"set":[32],"X,":[33],"is":[38,48,75,124],"uniformly":[39],"solvable":[40],"in":[41,99],"time":[42],"[Formula:":[43,100,104],"see":[44,101,105],"text]":[45,102],"where":[46],"N":[47],"sum":[50],"word":[53],"lengths":[54],"inputs":[57],"respect":[59],"X.":[61],"practical":[63],"purposes,":[64],"this":[65],"can":[66,94],"be":[67,70,95],"considered":[68],"linear":[71],"time.":[72],"The":[73],"enough":[77],"work":[79],"out":[80],"small":[81],"examples":[82,87],"by":[83],"hand":[84],"and":[85,103],"concrete":[86],"are":[88],"show":[91],"how":[92],"it":[93],"used":[96],"computations":[98],"text].":[106],"also":[108],"fast":[110],"decide":[113],"whether":[114],"finitely":[116],"generated":[117],"free.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}