{"id":"https://openalex.org/W2025962215","doi":"https://doi.org/10.1007/bf01589103","title":"Algorithms for proportional matrices in reals and integers","display_name":"Algorithms for proportional matrices in reals and integers","publication_year":1989,"publication_date":"1989-08-01","ids":{"openalex":"https://openalex.org/W2025962215","doi":"https://doi.org/10.1007/bf01589103","mag":"2025962215"},"language":"en","primary_location":{"id":"doi:10.1007/bf01589103","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01589103","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://shs.hal.science/halshs-00585327","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008022158","display_name":"Michel Balinski","orcid":null},"institutions":[{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210133369","display_name":"Decision Sciences (United States)","ror":"https://ror.org/03gcvf773","country_code":"US","type":"company","lineage":["https://openalex.org/I4210133369"]}],"countries":["FR","US"],"is_corresponding":true,"raw_author_name":"M. L. Balinski","raw_affiliation_strings":["C.N.R.S., Laboratoire d'Econom\u00e9trie de l'Ecole Polytechnique, Paris, France","Institute for Decision Sciences, S.U.N.Y., Stony Brook, USA"],"affiliations":[{"raw_affiliation_string":"C.N.R.S., Laboratoire d'Econom\u00e9trie de l'Ecole Polytechnique, Paris, France","institution_ids":["https://openalex.org/I142476485"]},{"raw_affiliation_string":"Institute for Decision Sciences, S.U.N.Y., Stony Brook, USA","institution_ids":["https://openalex.org/I4210133369"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043765276","display_name":"Gabrielle Demange","orcid":null},"institutions":[{"id":"https://openalex.org/I51101395","display_name":"Universit\u00e9 Paris 1 Panth\u00e9on-Sorbonne","ror":"https://ror.org/002t25c44","country_code":"FR","type":"education","lineage":["https://openalex.org/I51101395"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I19926482","display_name":"Dr. M.G.R. Educational and Research Institute","ror":"https://ror.org/053hsst90","country_code":"IN","type":"education","lineage":["https://openalex.org/I19926482"]}],"countries":["FR","IN"],"is_corresponding":false,"raw_author_name":"G. Demange","raw_affiliation_strings":["C.E.R.M.S.E.M., Universit\u00e9, Paris I, France","C.N.R.S., Laboratoire d'Econom\u00e9trie de l'Ecole Polytechnique, Paris, France"],"affiliations":[{"raw_affiliation_string":"C.E.R.M.S.E.M., Universit\u00e9, Paris I, France","institution_ids":["https://openalex.org/I19926482","https://openalex.org/I51101395"]},{"raw_affiliation_string":"C.N.R.S., Laboratoire d'Econom\u00e9trie de l'Ecole Polytechnique, Paris, France","institution_ids":["https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008022158"],"corresponding_institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210133369"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.5766,"has_fulltext":false,"cited_by_count":93,"citation_normalized_percentile":{"value":0.89883268,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"45","issue":"1-3","first_page":"193","last_page":"210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9939000010490417,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9939000010490417,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9937999844551086,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9921000003814697,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8512820601463318},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7065184116363525},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5774085521697998},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5162894129753113},{"id":"https://openalex.org/keywords/column","display_name":"Column (typography)","score":0.510550856590271},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.485241174697876},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4457293152809143},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0776161253452301}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8512820601463318},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7065184116363525},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5774085521697998},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5162894129753113},{"id":"https://openalex.org/C2780551164","wikidata":"https://www.wikidata.org/wiki/Q2306599","display_name":"Column (typography)","level":3,"score":0.510550856590271},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.485241174697876},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4457293152809143},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0776161253452301},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf01589103","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01589103","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:HAL:halshs-00585327v1","is_oa":true,"landing_page_url":"https://shs.hal.science/halshs-00585327","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming, Series A, 1989, 45 (1-3), pp.193-210. &#x27E8;10.1007/BF01589103&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:halshs-00585327v1","is_oa":true,"landing_page_url":"https://shs.hal.science/halshs-00585327","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming, Series A, 1989, 45 (1-3), pp.193-210. &#x27E8;10.1007/BF01589103&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1568384883","https://openalex.org/W1989662298","https://openalex.org/W2025469642","https://openalex.org/W2053642448","https://openalex.org/W2071609006","https://openalex.org/W2124462822","https://openalex.org/W2312355711","https://openalex.org/W3142300713","https://openalex.org/W4242249014","https://openalex.org/W4249667877","https://openalex.org/W6823875858"],"related_works":["https://openalex.org/W178365807","https://openalex.org/W2081441417","https://openalex.org/W2181722423","https://openalex.org/W4240676090","https://openalex.org/W1970375080","https://openalex.org/W4386544785","https://openalex.org/W16157476","https://openalex.org/W1555836633","https://openalex.org/W2347222412","https://openalex.org/W2085601491"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":16},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
