{"id":"https://openalex.org/W2016560617","doi":"https://doi.org/10.1007/s00373-005-0614-3","title":"Latin Squares, Partial Latin Squares and Their Generalized Quotients","display_name":"Latin Squares, Partial Latin Squares and Their Generalized Quotients","publication_year":2005,"publication_date":"2005-09-01","ids":{"openalex":"https://openalex.org/W2016560617","doi":"https://doi.org/10.1007/s00373-005-0614-3","mag":"2016560617"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-005-0614-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-005-0614-3","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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/A5063365609","display_name":"Lev Glebsky","orcid":"https://orcid.org/0000-0001-7887-0848"},"institutions":[{"id":"https://openalex.org/I2799391333","display_name":"Centro de Investigaciones en Optica","ror":"https://ror.org/00q8h8k29","country_code":"MX","type":"facility","lineage":["https://openalex.org/I2799391333"]},{"id":"https://openalex.org/I3130980388","display_name":"Polytechnic University of San Luis Potos\u00ed","ror":"https://ror.org/024et1e33","country_code":"MX","type":"education","lineage":["https://openalex.org/I3130980388"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Glebsky L. Yu","raw_affiliation_strings":["Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Av. Karakorum 1470, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, C.P. 78200, M\u00e9xico","Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, M\u00e9xico","Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Av. Karakorum 1470, C.P. 78200, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, M\u00e9xico#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Av. Karakorum 1470, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, C.P. 78200, M\u00e9xico","institution_ids":["https://openalex.org/I2799391333"]},{"raw_affiliation_string":"Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, M\u00e9xico","institution_ids":["https://openalex.org/I3130980388"]},{"raw_affiliation_string":"Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Av. Karakorum 1470, C.P. 78200, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, M\u00e9xico#TAB#","institution_ids":["https://openalex.org/I2799391333"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001536726","display_name":"Carlos Rubio\u2010Terres","orcid":"https://orcid.org/0000-0001-5106-2912"},"institutions":[{"id":"https://openalex.org/I2799391333","display_name":"Centro de Investigaciones en Optica","ror":"https://ror.org/00q8h8k29","country_code":"MX","type":"facility","lineage":["https://openalex.org/I2799391333"]},{"id":"https://openalex.org/I3130980388","display_name":"Polytechnic University of San Luis Potos\u00ed","ror":"https://ror.org/024et1e33","country_code":"MX","type":"education","lineage":["https://openalex.org/I3130980388"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Carlos J. Rubio","raw_affiliation_strings":["Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Av. Karakorum 1470, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, C.P. 78200, M\u00e9xico","Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, M\u00e9xico","Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Av. Karakorum 1470, C.P. 78200, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, M\u00e9xico#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Av. Karakorum 1470, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, C.P. 78200, M\u00e9xico","institution_ids":["https://openalex.org/I2799391333"]},{"raw_affiliation_string":"Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, M\u00e9xico","institution_ids":["https://openalex.org/I3130980388"]},{"raw_affiliation_string":"Instituto de Investigaci\u00f3n en Comunicaci\u00f3n Optica, Av. Karakorum 1470, C.P. 78200, Lomas cuarta secci\u00f3n. San Luis Potos\u00ed, M\u00e9xico#TAB#","institution_ids":["https://openalex.org/I2799391333"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09255499,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":"3","first_page":"365","last_page":"375"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12504","display_name":"Mathematics and Applications","score":0.9882000088691711,"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/quasigroup","display_name":"Quasigroup","score":0.9774457812309265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8171491026878357},{"id":"https://openalex.org/keywords/latin-square","display_name":"Latin square","score":0.8007444739341736},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.7152979373931885},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.6137424111366272},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4912225604057312},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45415985584259033},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3728334307670593},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.329668790102005},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.28877943754196167},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07117116451263428}],"concepts":[{"id":"https://openalex.org/C198800484","wikidata":"https://www.wikidata.org/wiki/Q1503423","display_name":"Quasigroup","level":2,"score":0.9774457812309265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8171491026878357},{"id":"https://openalex.org/C158887663","wikidata":"https://www.wikidata.org/wiki/Q679367","display_name":"Latin square","level":4,"score":0.8007444739341736},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7152979373931885},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.6137424111366272},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4912225604057312},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45415985584259033},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3728334307670593},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.329668790102005},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.28877943754196167},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07117116451263428},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C70262065","wikidata":"https://www.wikidata.org/wiki/Q427652","display_name":"Rumen","level":3,"score":0.0},{"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/C31903555","wikidata":"https://www.wikidata.org/wiki/Q1637030","display_name":"Food science","level":1,"score":0.0},{"id":"https://openalex.org/C100544194","wikidata":"https://www.wikidata.org/wiki/Q41760","display_name":"Fermentation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-005-0614-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-005-0614-3","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"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":"Graphs and Combinatorics","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":6,"referenced_works":["https://openalex.org/W1531258960","https://openalex.org/W1556771345","https://openalex.org/W1856712635","https://openalex.org/W2060711423","https://openalex.org/W2090534913","https://openalex.org/W4243285511"],"related_works":["https://openalex.org/W2186480202","https://openalex.org/W2891079247","https://openalex.org/W4289542518","https://openalex.org/W2324333540","https://openalex.org/W1911411026","https://openalex.org/W2090930077","https://openalex.org/W2950230611","https://openalex.org/W4386302328","https://openalex.org/W2140333629","https://openalex.org/W2338054667"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
