{"id":"https://openalex.org/W1974730366","doi":"https://doi.org/10.1016/0097-3165(74)90079-x","title":"Convex sets of doubly stochastic matrices","display_name":"Convex sets of doubly stochastic matrices","publication_year":1974,"publication_date":"1974-01-01","ids":{"openalex":"https://openalex.org/W1974730366","doi":"https://doi.org/10.1016/0097-3165(74)90079-x","mag":"1974730366"},"language":"en","primary_location":{"id":"doi:10.1016/0097-3165(74)90079-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(74)90079-x","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"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 A","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/A5111795242","display_name":"William Watkins","orcid":null},"institutions":[{"id":"https://openalex.org/I157638225","display_name":"California State University, Northridge","ror":"https://ror.org/005f5hv41","country_code":"US","type":"education","lineage":["https://openalex.org/I157638225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William Watkins","raw_affiliation_strings":["California State University, Northridge, California 91324, USA","California State University Northridge, California 91324, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California State University, Northridge, California 91324, USA","institution_ids":["https://openalex.org/I157638225"]},{"raw_affiliation_string":"California State University Northridge, California 91324, USA","institution_ids":["https://openalex.org/I157638225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075558471","display_name":"Russell Merris","orcid":null},"institutions":[{"id":"https://openalex.org/I127339247","display_name":"California State University System","ror":"https://ror.org/020qm1538","country_code":"US","type":"education","lineage":["https://openalex.org/I127339247"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Russell Merris","raw_affiliation_strings":["California State University, Hayward, California 94542, USA","California State University, Hayward, California 94542 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California State University, Hayward, California 94542, USA","institution_ids":["https://openalex.org/I127339247"]},{"raw_affiliation_string":"California State University, Hayward, California 94542 USA","institution_ids":["https://openalex.org/I127339247"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":0.7091,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.7020471,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"16","issue":"1","first_page":"129","last_page":"130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9829000234603882,"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":0.9829000234603882,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9729999899864197,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9581000208854675,"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/convex-hull","display_name":"Convex hull","score":0.8094015121459961},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7854975461959839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6891871690750122},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6875486373901367},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5843080282211304},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5386104583740234},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5243851542472839},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.47520527243614197},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.43640342354774475},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3265681266784668},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.18857499957084656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10988977551460266},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09669709205627441}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.8094015121459961},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7854975461959839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6891871690750122},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6875486373901367},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5843080282211304},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5386104583740234},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5243851542472839},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.47520527243614197},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.43640342354774475},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3265681266784668},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.18857499957084656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10988977551460266},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09669709205627441},{"id":"https://openalex.org/C199104240","wikidata":"https://www.wikidata.org/wiki/Q118291","display_name":"Marine engineering","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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-3165(74)90079-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(74)90079-x","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"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 A","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":1,"referenced_works":["https://openalex.org/W2001683877"],"related_works":["https://openalex.org/W2374624997","https://openalex.org/W2363904277","https://openalex.org/W868123585","https://openalex.org/W2578380588","https://openalex.org/W2375652826","https://openalex.org/W981962503","https://openalex.org/W4296997005","https://openalex.org/W2300145982","https://openalex.org/W2128601753","https://openalex.org/W2580512045"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
