{"id":"https://openalex.org/W2141236882","doi":"https://doi.org/10.1145/2576802.2576823","title":"Implementation of a solution to the conjugacy problem in Thompson's group F","display_name":"Implementation of a solution to the conjugacy problem in Thompson's group F","publication_year":2014,"publication_date":"2014-01-28","ids":{"openalex":"https://openalex.org/W2141236882","doi":"https://doi.org/10.1145/2576802.2576823","mag":"2141236882"},"language":"en","primary_location":{"id":"doi:10.1145/2576802.2576823","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2576802.2576823","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10281/254747","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066521656","display_name":"James Belk","orcid":"https://orcid.org/0000-0002-9392-3378"},"institutions":[{"id":"https://openalex.org/I39661318","display_name":"Bard College","ror":"https://ror.org/04yrgt058","country_code":"US","type":"education","lineage":["https://openalex.org/I39661318"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James Belk","raw_affiliation_strings":["Bard College, Annandale-on-Hudson, NY, USA"],"affiliations":[{"raw_affiliation_string":"Bard College, Annandale-on-Hudson, NY, USA","institution_ids":["https://openalex.org/I39661318"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002572296","display_name":"Nabil Hossain","orcid":null},"institutions":[{"id":"https://openalex.org/I39661318","display_name":"Bard College","ror":"https://ror.org/04yrgt058","country_code":"US","type":"education","lineage":["https://openalex.org/I39661318"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nabil Hossain","raw_affiliation_strings":["Bard College, Annandale-on-Hudson, NY, USA"],"affiliations":[{"raw_affiliation_string":"Bard College, Annandale-on-Hudson, NY, USA","institution_ids":["https://openalex.org/I39661318"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042439079","display_name":"Francesco Matucci","orcid":"https://orcid.org/0000-0003-4762-5684"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francesco Matucci","raw_affiliation_strings":["Universit\u00e9 Paris-Sud 11, B\u00e2timent 425, Bureau 21, F-91405 Orsay Cedex, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Sud 11, B\u00e2timent 425, Bureau 21, F-91405 Orsay Cedex, France","institution_ids":["https://openalex.org/I102197404"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073765656","display_name":"Robert W. McGrail","orcid":null},"institutions":[{"id":"https://openalex.org/I39661318","display_name":"Bard College","ror":"https://ror.org/04yrgt058","country_code":"US","type":"education","lineage":["https://openalex.org/I39661318"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert McGrail","raw_affiliation_strings":["Bard College, Annandale-on-Hudson, NY, USA"],"affiliations":[{"raw_affiliation_string":"Bard College, Annandale-on-Hudson, NY, USA","institution_ids":["https://openalex.org/I39661318"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5066521656"],"corresponding_institution_ids":["https://openalex.org/I39661318"],"apc_list":null,"apc_paid":null,"fwci":0.4569,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.63582246,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"47","issue":"3/4","first_page":"120","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9990000128746033,"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"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9987000226974487,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.9240686893463135},{"id":"https://openalex.org/keywords/conjugacy-problem","display_name":"Conjugacy problem","score":0.8581243753433228},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6620468497276306},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4961448609828949},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44790974259376526},{"id":"https://openalex.org/keywords/topological-conjugacy","display_name":"Topological conjugacy","score":0.42046433687210083},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3952401876449585},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38617077469825745},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3575844168663025},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3104552626609802},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10444378852844238}],"concepts":[{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.9240686893463135},{"id":"https://openalex.org/C2780526409","wikidata":"https://www.wikidata.org/wiki/Q5161137","display_name":"Conjugacy problem","level":3,"score":0.8581243753433228},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6620468497276306},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4961448609828949},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44790974259376526},{"id":"https://openalex.org/C165263651","wikidata":"https://www.wikidata.org/wiki/Q2443460","display_name":"Topological conjugacy","level":2,"score":0.42046433687210083},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3952401876449585},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38617077469825745},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3575844168663025},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3104552626609802},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10444378852844238},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/2576802.2576823","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2576802.2576823","pdf_url":null,"source":{"id":"https://openalex.org/S176185422","display_name":"ACM communications in computer algebra","issn_l":"1932-2232","issn":["1932-2232","1932-2240"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320725","host_organization_name":"SIGSAM","host_organization_lineage":["https://openalex.org/P4310320725"],"host_organization_lineage_names":["SIGSAM"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Communications in Computer Algebra","raw_type":"journal-article"},{"id":"pmh:oai:eprints.gla.ac.uk:374037","is_oa":false,"landing_page_url":"https://eprints.gla.ac.uk/view/author/67712.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4210235606","display_name":"ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam)","issn_l":"2622-8912","issn":["2622-8912","2622-8920"],"is_oa":false,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:boa.unimib.it:10281/254747","is_oa":true,"landing_page_url":"http://hdl.handle.net/10281/254747","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:boa.unimib.it:10281/254747","is_oa":true,"landing_page_url":"http://hdl.handle.net/10281/254747","pdf_url":null,"source":{"id":"https://openalex.org/S4306401259","display_name":"BOA (University of Milano-Bicocca)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66752286","host_organization_name":"University of Milano-Bicocca","host_organization_lineage":["https://openalex.org/I66752286"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1583295953","https://openalex.org/W2046021036","https://openalex.org/W3101561779","https://openalex.org/W4230919050","https://openalex.org/W6634691564"],"related_works":["https://openalex.org/W4393106738","https://openalex.org/W2322135471","https://openalex.org/W3104476000","https://openalex.org/W2415945172","https://openalex.org/W2024382131","https://openalex.org/W4302439604","https://openalex.org/W3107538560","https://openalex.org/W4300789086","https://openalex.org/W2971667310","https://openalex.org/W2767971830"],"abstract_inverted_index":{"We":[0,30],"present":[1],"an":[2],"efficient":[3],"implementation":[4],"of":[5,34],"the":[6,9,39],"solution":[7,36],"to":[8],"conjugacy":[10,20],"problem":[11],"in":[12],"Thompson's":[13],"group":[14],"F.":[15],"This":[16],"algorithm":[17],"checks":[18],"for":[19],"by":[21],"constructing":[22],"and":[23,46],"comparing":[24],"directed":[25],"graphs":[26],"called":[27],"strand":[28,44],"diagrams.":[29],"provide":[31],"a":[32],"description":[33],"our":[35],"algorithm,":[37],"including":[38],"data":[40],"structure":[41],"that":[42],"represents":[43],"diagrams":[45],"supports":[47],"simplifications.":[48]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}