{"id":"https://openalex.org/W1977376911","doi":"https://doi.org/10.1007/s00454-010-9257-0","title":"A Celtic Framework for Knots and Links","display_name":"A Celtic Framework for Knots and Links","publication_year":2010,"publication_date":"2010-03-16","ids":{"openalex":"https://openalex.org/W1977376911","doi":"https://doi.org/10.1007/s00454-010-9257-0","mag":"1977376911"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-010-9257-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-010-9257-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9257-0.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9257-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101478915","display_name":"Jonathan L. Gross","orcid":"https://orcid.org/0000-0002-2564-9530"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jonathan L. Gross","raw_affiliation_strings":["Department of Computer Science, Columbia University, New York, NY, 10027, USA","Columbia University, Department of Computer Science, 10027, New York, NY, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Columbia University, New York, NY, 10027, USA","institution_ids":["https://openalex.org/I78577930"]},{"raw_affiliation_string":"Columbia University, Department of Computer Science, 10027, New York, NY, USA#TAB#","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022919726","display_name":"Thomas W. Tucker","orcid":"https://orcid.org/0000-0002-7868-6925"},"institutions":[{"id":"https://openalex.org/I39660569","display_name":"Colgate University","ror":"https://ror.org/05d23ve83","country_code":"US","type":"education","lineage":["https://openalex.org/I39660569"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas W. Tucker","raw_affiliation_strings":["Department of Mathematics, Colgate University, Hamilton, NY, 13346, USA","Colgate University, Department of Mathematics, 13346, Hamilton, NY, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Colgate University, Hamilton, NY, 13346, USA","institution_ids":["https://openalex.org/I39660569"]},{"raw_affiliation_string":"Colgate University, Department of Mathematics, 13346, Hamilton, NY, USA#TAB#","institution_ids":["https://openalex.org/I39660569"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101478915"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.09207475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"46","issue":"1","first_page":"86","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9865999817848206,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9815000295639038,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.7393718957901001},{"id":"https://openalex.org/keywords/celtic-languages","display_name":"Celtic languages","score":0.7218418121337891},{"id":"https://openalex.org/keywords/knot-theory","display_name":"Knot theory","score":0.699295699596405},{"id":"https://openalex.org/keywords/knot","display_name":"Knot (papermaking)","score":0.5797162055969238},{"id":"https://openalex.org/keywords/link","display_name":"Link (geometry)","score":0.579625129699707},{"id":"https://openalex.org/keywords/braid","display_name":"Braid","score":0.48232007026672363},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4541082978248596},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.43399670720100403},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3748394250869751}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7393718957901001},{"id":"https://openalex.org/C102125574","wikidata":"https://www.wikidata.org/wiki/Q25293","display_name":"Celtic languages","level":2,"score":0.7218418121337891},{"id":"https://openalex.org/C143330242","wikidata":"https://www.wikidata.org/wiki/Q849798","display_name":"Knot theory","level":3,"score":0.699295699596405},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.5797162055969238},{"id":"https://openalex.org/C2778753846","wikidata":"https://www.wikidata.org/wiki/Q6554239","display_name":"Link (geometry)","level":2,"score":0.579625129699707},{"id":"https://openalex.org/C124194741","wikidata":"https://www.wikidata.org/wiki/Q320809","display_name":"Braid","level":2,"score":0.48232007026672363},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4541082978248596},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.43399670720100403},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3748394250869751},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-010-9257-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-010-9257-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9257-0.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.187.9685","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.187.9685","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.columbia.edu/%7Egross/research/CeltFrameGT-DCG.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s00454-010-9257-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-010-9257-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-010-9257-0.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1977376911.pdf","grobid_xml":"https://content.openalex.org/works/W1977376911.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W381329850","https://openalex.org/W1487316048","https://openalex.org/W1495907344","https://openalex.org/W1525351818","https://openalex.org/W1556414081","https://openalex.org/W1558273801","https://openalex.org/W1570131048","https://openalex.org/W1579513568","https://openalex.org/W1957289161","https://openalex.org/W1988951373","https://openalex.org/W1992527619","https://openalex.org/W2010875109","https://openalex.org/W2039763834","https://openalex.org/W2073393217","https://openalex.org/W2087704519","https://openalex.org/W2102664288","https://openalex.org/W2325575424","https://openalex.org/W2888943156","https://openalex.org/W2913906821","https://openalex.org/W3138922280","https://openalex.org/W4210606982","https://openalex.org/W6631383993"],"related_works":["https://openalex.org/W2513938506","https://openalex.org/W4205761853","https://openalex.org/W2801641313","https://openalex.org/W3106418390","https://openalex.org/W1622356303","https://openalex.org/W2101575898","https://openalex.org/W3160727197","https://openalex.org/W1979787675","https://openalex.org/W2071829673","https://openalex.org/W2953228509"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
