{"id":"https://openalex.org/W2033010474","doi":"https://doi.org/10.1016/0095-8956(90)90097-j","title":"Quantizers and the worst-case Euclidean traveling salesman problem","display_name":"Quantizers and the worst-case Euclidean traveling salesman problem","publication_year":1990,"publication_date":"1990-10-01","ids":{"openalex":"https://openalex.org/W2033010474","doi":"https://doi.org/10.1016/0095-8956(90)90097-j","mag":"2033010474"},"language":"en","primary_location":{"id":"doi:10.1016/0095-8956(90)90097-j","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0095-8956(90)90097-j","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series B","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/A5011834415","display_name":"Luis Goddyn","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Luis A. Goddyn","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada","DEPARTMENT OF COMBINATORICS AND OPTIMIZATION; UNIVERSITY OF WATERLOO; WATERLOO ONTARIO CANADA"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"DEPARTMENT OF COMBINATORICS AND OPTIMIZATION; UNIVERSITY OF WATERLOO; WATERLOO ONTARIO CANADA","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011834415"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":3420,"currency":"USD","value_usd":3420},"apc_paid":null,"fwci":3.3829,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.9173913,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"50","issue":"1","first_page":"65","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/combinatorics","display_name":"Combinatorics","score":0.8164682388305664},{"id":"https://openalex.org/keywords/unit-cube","display_name":"Unit cube","score":0.7508019208908081},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7352761030197144},{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.7060548663139343},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7012274265289307},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6675302386283875},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5543736219406128},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.5389538407325745},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.4835071861743927},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4785885810852051},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35686659812927246},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14632487297058105},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11513927578926086},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06948691606521606}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8164682388305664},{"id":"https://openalex.org/C60432849","wikidata":"https://www.wikidata.org/wiki/Q2072112","display_name":"Unit cube","level":2,"score":0.7508019208908081},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7352761030197144},{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.7060548663139343},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7012274265289307},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6675302386283875},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5543736219406128},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.5389538407325745},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.4835071861743927},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4785885810852051},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35686659812927246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14632487297058105},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11513927578926086},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06948691606521606},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0095-8956(90)90097-j","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0095-8956(90)90097-j","pdf_url":null,"source":{"id":"https://openalex.org/S2939117604","display_name":"Journal of Combinatorial Theory Series B","issn_l":"0095-8956","issn":["0095-8956","1096-0902"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series B","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W650185772","https://openalex.org/W1511255594","https://openalex.org/W1518527396","https://openalex.org/W1965297098","https://openalex.org/W1975224834","https://openalex.org/W1991462609","https://openalex.org/W2011240422","https://openalex.org/W2014068360","https://openalex.org/W2029495080","https://openalex.org/W2033719029","https://openalex.org/W2036918449","https://openalex.org/W2040257225","https://openalex.org/W2048509065","https://openalex.org/W2055038236","https://openalex.org/W2055569927","https://openalex.org/W2059347291","https://openalex.org/W2059988211","https://openalex.org/W2069447707","https://openalex.org/W2069857803","https://openalex.org/W2089419199","https://openalex.org/W2109065615","https://openalex.org/W2119352491","https://openalex.org/W2133226747","https://openalex.org/W2142228262","https://openalex.org/W2143037347","https://openalex.org/W2151977393","https://openalex.org/W2324108981","https://openalex.org/W2567873953","https://openalex.org/W4255766578","https://openalex.org/W6643856258","https://openalex.org/W6654105523","https://openalex.org/W6659394439","https://openalex.org/W6681107017"],"related_works":["https://openalex.org/W2031281829","https://openalex.org/W4254427182","https://openalex.org/W2113702600","https://openalex.org/W1999568846","https://openalex.org/W4255848923","https://openalex.org/W2040634226","https://openalex.org/W2480729894","https://openalex.org/W2122070455","https://openalex.org/W2952361412","https://openalex.org/W2285875724"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}