{"id":"https://openalex.org/W3195848312","doi":"https://doi.org/10.1007/s41468-023-00144-7","title":"Yarn ball knots and faster computations","display_name":"Yarn ball knots and faster computations","publication_year":2023,"publication_date":"2023-10-28","ids":{"openalex":"https://openalex.org/W3195848312","doi":"https://doi.org/10.1007/s41468-023-00144-7","mag":"3195848312","pmid":"https://pubmed.ncbi.nlm.nih.gov/38385065"},"language":"en","primary_location":{"id":"doi:10.1007/s41468-023-00144-7","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s41468-023-00144-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00144-7.pdf","source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00144-7.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047848997","display_name":"Dror Bar-Natan","orcid":"https://orcid.org/0000-0001-9549-9243"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dror Bar-Natan","raw_affiliation_strings":["University of Toronto, Toronto, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Toronto, Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015573415","display_name":"Itai Bar-Natan","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Itai Bar-Natan","raw_affiliation_strings":["University of California, Los Angeles, Los Angeles, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Los Angeles, Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081231588","display_name":"Iva Halacheva","orcid":"https://orcid.org/0000-0002-2189-2197"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Iva Halacheva","raw_affiliation_strings":["Northeastern University, Boston, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Northeastern University, Boston, USA","institution_ids":["https://openalex.org/I12912129"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041848207","display_name":"Nancy Scherich","orcid":"https://orcid.org/0000-0002-1333-6094"},"institutions":[{"id":"https://openalex.org/I170164250","display_name":"Elon University","ror":"https://ror.org/01szgyb91","country_code":"US","type":"education","lineage":["https://openalex.org/I170164250"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nancy Scherich","raw_affiliation_strings":["Elon University, Elon, USA"],"raw_orcid":"https://orcid.org/0000-0002-1333-6094","affiliations":[{"raw_affiliation_string":"Elon University, Elon, USA","institution_ids":["https://openalex.org/I170164250"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5081231588"],"corresponding_institution_ids":["https://openalex.org/I12912129"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":{"value":3090,"currency":"USD","value_usd":3090},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02437888,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"1","first_page":"175","last_page":"192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9998999834060669,"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":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9542999863624573,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9501000046730042,"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/knot","display_name":"Knot (papermaking)","score":0.8554148077964783},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7078498005867004},{"id":"https://openalex.org/keywords/knot-theory","display_name":"Knot theory","score":0.6041067838668823},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.486578106880188},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4744994342327118},{"id":"https://openalex.org/keywords/knot-invariant","display_name":"Knot invariant","score":0.46733415126800537},{"id":"https://openalex.org/keywords/yarn","display_name":"Yarn","score":0.44453486800193787},{"id":"https://openalex.org/keywords/tricolorability","display_name":"Tricolorability","score":0.44251179695129395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4150032699108124},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27612441778182983},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.26531982421875},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.1317141354084015},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1244702935218811}],"concepts":[{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.8554148077964783},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7078498005867004},{"id":"https://openalex.org/C143330242","wikidata":"https://www.wikidata.org/wiki/Q849798","display_name":"Knot theory","level":3,"score":0.6041067838668823},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.486578106880188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4744994342327118},{"id":"https://openalex.org/C36794415","wikidata":"https://www.wikidata.org/wiki/Q1862434","display_name":"Knot invariant","level":4,"score":0.46733415126800537},{"id":"https://openalex.org/C2778787235","wikidata":"https://www.wikidata.org/wiki/Q49007","display_name":"Yarn","level":2,"score":0.44453486800193787},{"id":"https://openalex.org/C180837527","wikidata":"https://www.wikidata.org/wiki/Q7841270","display_name":"Tricolorability","level":5,"score":0.44251179695129395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4150032699108124},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27612441778182983},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.26531982421875},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.1317141354084015},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1244702935218811},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s41468-023-00144-7","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s41468-023-00144-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00144-7.pdf","source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},{"id":"pmid:38385065","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/38385065","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of applied and computational topology","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:10876834","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10876834","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10876834/pdf/41468_2023_Article_144.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"J Appl Comput Topol","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1007/s41468-023-00144-7","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s41468-023-00144-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s41468-023-00144-7.pdf","source":{"id":"https://openalex.org/S4210173698","display_name":"Journal of Applied and Computational Topology","issn_l":"2367-1726","issn":["2367-1726","2367-1734"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied and Computational Topology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2980479518","display_name":null,"funder_award_id":"RGPIN-2018","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G6469982957","display_name":"Poly-Time Knot Theory and Quantum Algebra","funder_award_id":"rgpin-2018-04350","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G816167093","display_name":null,"funder_award_id":"2018-04350","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G936106168","display_name":null,"funder_award_id":"GPIN-2018-04350","funder_id":"https://openalex.org/F4320321487","funder_display_name":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320321487","display_name":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3195848312.pdf"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W172027785","https://openalex.org/W1968729059","https://openalex.org/W2007185418","https://openalex.org/W2082612727","https://openalex.org/W2086114750","https://openalex.org/W2091919572","https://openalex.org/W2120207347","https://openalex.org/W2129538584","https://openalex.org/W2168053028","https://openalex.org/W2963569109","https://openalex.org/W3005800418","https://openalex.org/W4253062234"],"related_works":["https://openalex.org/W1495779939","https://openalex.org/W2944398340","https://openalex.org/W2900994935","https://openalex.org/W2892680669","https://openalex.org/W3101283995","https://openalex.org/W4229630363","https://openalex.org/W4362473285","https://openalex.org/W2119732105","https://openalex.org/W2109983592","https://openalex.org/W2390991775"],"abstract_inverted_index":{"We":[0],"make":[1],"use":[2],"of":[3,7],"the":[4,23,40],"3D":[5],"nature":[6],"knots":[8,44],"and":[9],"links":[10],"to":[11,43],"find":[12],"savings":[13,34],"in":[14,27,37],"computational":[15],"complexity":[16],"when":[17],"computing":[18],"knot":[19,46],"invariants":[20],"such":[21],"as":[22],"linking":[24],"number":[25],"and,":[26],"general,":[28],"most":[29],"finite":[30],"type":[31],"invariants.":[32],"These":[33],"are":[35],"achieved":[36],"comparison":[38],"with":[39],"2D":[41],"approach":[42],"using":[45],"diagrams.":[47]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}