{"id":"https://openalex.org/W69830692","doi":"https://doi.org/10.1007/11605157_18","title":"Computing Affine Hulls over ${\\mathbb Q}$ and ${\\mathbb Z}$ from Sets Represented by Number Decision Diagrams","display_name":"Computing Affine Hulls over ${\\mathbb Q}$ and ${\\mathbb Z}$ from Sets Represented by Number Decision Diagrams","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W69830692","doi":"https://doi.org/10.1007/11605157_18","mag":"69830692"},"language":"en","primary_location":{"id":"doi:10.1007/11605157_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11605157_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5070797793","display_name":"Louis Latour","orcid":null},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Louis Latour","raw_affiliation_strings":["Institut Montefiore, Universit\u00e9 de Li\u00e8ge, B28 4000, Li\u00e8ge, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Montefiore, Universit\u00e9 de Li\u00e8ge, B28 4000, Li\u00e8ge, Belgium","institution_ids":["https://openalex.org/I157674565"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070797793"],"corresponding_institution_ids":["https://openalex.org/I157674565"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"213","last_page":"224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991999864578247,"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":0.9976000189781189,"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"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.996399998664856,"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/combinatorics","display_name":"Combinatorics","score":0.5857862234115601},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5652216076850891},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.520006000995636},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5025031566619873},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.47149723768234253},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4410378932952881},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.43740150332450867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4027533531188965},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20581713318824768},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08757686614990234}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5857862234115601},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5652216076850891},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.520006000995636},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5025031566619873},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.47149723768234253},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4410378932952881},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.43740150332450867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4027533531188965},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20581713318824768},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08757686614990234},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11605157_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11605157_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W69830692","https://openalex.org/W1500263346","https://openalex.org/W1540012118","https://openalex.org/W1589421353","https://openalex.org/W1592336371","https://openalex.org/W1594960997","https://openalex.org/W1597840949","https://openalex.org/W1726736548","https://openalex.org/W2011456925","https://openalex.org/W2052987729","https://openalex.org/W2072217486","https://openalex.org/W2092838925","https://openalex.org/W2135463032","https://openalex.org/W2158542561","https://openalex.org/W2163696969","https://openalex.org/W2477133326","https://openalex.org/W2488364916","https://openalex.org/W2561675875","https://openalex.org/W2693104213","https://openalex.org/W3021045375","https://openalex.org/W4230761142","https://openalex.org/W4246952859"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2074481494","https://openalex.org/W4250156143","https://openalex.org/W4247156967","https://openalex.org/W4239207432","https://openalex.org/W2808448365","https://openalex.org/W2808006995","https://openalex.org/W4394777662","https://openalex.org/W582626623","https://openalex.org/W2777710427"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}