{"id":"https://openalex.org/W1807533298","doi":"https://doi.org/10.1007/s00493-016-3556-x","title":"How Many Circuits Determine an Oriented Matroid?","display_name":"How Many Circuits Determine an Oriented Matroid?","publication_year":2017,"publication_date":"2017-05-31","ids":{"openalex":"https://openalex.org/W1807533298","doi":"https://doi.org/10.1007/s00493-016-3556-x","mag":"1807533298"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-016-3556-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-016-3556-x","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1407.7388","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057566451","display_name":"Kolja Knauer","orcid":"https://orcid.org/0000-0002-8151-2184"},"institutions":[{"id":"https://openalex.org/I4210144005","display_name":"Centre d\u2019Immunologie de Marseille-Luminy","ror":"https://ror.org/03vyjkj45","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I154526488","https://openalex.org/I21491767","https://openalex.org/I4210096427","https://openalex.org/I4210144005"]},{"id":"https://openalex.org/I4210115196","display_name":"Laboratoire d\u2019Informatique Fondamentale de Marseille","ror":"https://ror.org/022my8t07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210115196","https://openalex.org/I4210142724","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Kolja Knauer","raw_affiliation_strings":["CNRS Facult\u00e9 des Sciences de Luminy, F-13288, Marseille Cedex 09, France","Laboratoire d\u2019Informatique Fondamentale, Aix-Marseille Universit\u00e9, F-13288, Marseille Cedex 09, France","CNRS Facult\u00e9 des Sciences de Luminy, Marseille Cedex 09, France","Laboratoire d\u2019Informatique Fondamentale, Aix-Marseille Universit\u00e9, Marseille Cedex 09, France"],"affiliations":[{"raw_affiliation_string":"CNRS Facult\u00e9 des Sciences de Luminy, F-13288, Marseille Cedex 09, France","institution_ids":["https://openalex.org/I4210144005","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire d\u2019Informatique Fondamentale, Aix-Marseille Universit\u00e9, F-13288, Marseille Cedex 09, France","institution_ids":["https://openalex.org/I4210115196"]},{"raw_affiliation_string":"CNRS Facult\u00e9 des Sciences de Luminy, Marseille Cedex 09, France","institution_ids":["https://openalex.org/I4210144005","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire d\u2019Informatique Fondamentale, Aix-Marseille Universit\u00e9, Marseille Cedex 09, France","institution_ids":["https://openalex.org/I4210115196","https://openalex.org/I21491767"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063551926","display_name":"Luis Montejano","orcid":"https://orcid.org/0000-0003-3101-6518"},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Luis Pedro Montejano","raw_affiliation_strings":["Universit\u00e9 de Montpellier Institut Montpelli\u00e9rain Alexander Grothendieck Case Courrier 051 Place Eug\u00e8ne Bataillon, 34095, Montpellier Cedex 05, France","Institut Montpelli\u00e9rain Alexander Grothendieck"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Montpellier Institut Montpelli\u00e9rain Alexander Grothendieck Case Courrier 051 Place Eug\u00e8ne Bataillon, 34095, Montpellier Cedex 05, France","institution_ids":["https://openalex.org/I19894307"]},{"raw_affiliation_string":"Institut Montpelli\u00e9rain Alexander Grothendieck","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104083449","display_name":"Jorge Luis Ram\u00edrez Alfons\u00edn","orcid":null},"institutions":[{"id":"https://openalex.org/I19894307","display_name":"Universit\u00e9 de Montpellier","ror":"https://ror.org/051escj72","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jorge Luis Ram\u00edrez Alfons\u00edn","raw_affiliation_strings":["Universit\u00e9 de Montpellier Institut Montpelli\u00e9rain Alexander Grothendieck Case Courrier 051 Place Eug\u00e8ne Bataillon, 34095, Montpellier Cedex 05, France","Institut Montpelli\u00e9rain Alexander Grothendieck"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Montpellier Institut Montpelli\u00e9rain Alexander Grothendieck Case Courrier 051 Place Eug\u00e8ne Bataillon, 34095, Montpellier Cedex 05, France","institution_ids":["https://openalex.org/I19894307"]},{"raw_affiliation_string":"Institut Montpelli\u00e9rain Alexander Grothendieck","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5057566451"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210115196","https://openalex.org/I4210144005"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00288093,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"38","issue":"4","first_page":"861","last_page":"885"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9986000061035156,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9965999722480774,"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/matroid","display_name":"Matroid","score":0.9876312017440796},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.8472167253494263},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.655057430267334},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6515161991119385},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5339796543121338},{"id":"https://openalex.org/keywords/oriented-matroid","display_name":"Oriented matroid","score":0.5023696422576904},{"id":"https://openalex.org/keywords/dual-graph","display_name":"Dual graph","score":0.5011246204376221},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46001455187797546},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4527873396873474},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42765605449676514},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.42168742418289185},{"id":"https://openalex.org/keywords/link","display_name":"Link (geometry)","score":0.4129830002784729},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34835609793663025},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.18913039565086365}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9876312017440796},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.8472167253494263},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.655057430267334},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6515161991119385},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5339796543121338},{"id":"https://openalex.org/C178621168","wikidata":"https://www.wikidata.org/wiki/Q16155113","display_name":"Oriented matroid","level":4,"score":0.5023696422576904},{"id":"https://openalex.org/C169827030","wikidata":"https://www.wikidata.org/wiki/Q2294516","display_name":"Dual graph","level":4,"score":0.5011246204376221},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46001455187797546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4527873396873474},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42765605449676514},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.42168742418289185},{"id":"https://openalex.org/C2778753846","wikidata":"https://www.wikidata.org/wiki/Q6554239","display_name":"Link (geometry)","level":2,"score":0.4129830002784729},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34835609793663025},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.18913039565086365}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00493-016-3556-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-016-3556-x","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1407.7388","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.7388","pdf_url":"https://arxiv.org/pdf/1407.7388","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:1807533298","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1407.7388","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.768.4769","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.768.4769","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1407.7388.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-02048407v1","is_oa":true,"landing_page_url":"https://hal.science/hal-02048407","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":"Combinatorica, 2018, 38 (4), pp.861-885. &#x27E8;10.1007/s00493-016-3556-x&#x27E9;","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.1407.7388","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1407.7388","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1407.7388","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.7388","pdf_url":"https://arxiv.org/pdf/1407.7388","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W1774733691","https://openalex.org/W1965060262","https://openalex.org/W1966911563","https://openalex.org/W1968602807","https://openalex.org/W1980749407","https://openalex.org/W1986210561","https://openalex.org/W1995160715","https://openalex.org/W2027711903","https://openalex.org/W2031925074","https://openalex.org/W2039690467","https://openalex.org/W2054145937","https://openalex.org/W2059688607","https://openalex.org/W2065334221","https://openalex.org/W2068457180","https://openalex.org/W2073029194","https://openalex.org/W2073705438","https://openalex.org/W2075800592","https://openalex.org/W2077364583","https://openalex.org/W2078777667","https://openalex.org/W2088131503","https://openalex.org/W2088377437","https://openalex.org/W2090002203","https://openalex.org/W2094055460","https://openalex.org/W2127402154","https://openalex.org/W2156888090","https://openalex.org/W2160642345","https://openalex.org/W2169684665","https://openalex.org/W2971330320","https://openalex.org/W3102253349","https://openalex.org/W4212938248","https://openalex.org/W4238591275","https://openalex.org/W4254205555"],"related_works":["https://openalex.org/W2963473162","https://openalex.org/W3037286100","https://openalex.org/W2394617971","https://openalex.org/W2805575663","https://openalex.org/W1494187105","https://openalex.org/W1550144461","https://openalex.org/W1044293085","https://openalex.org/W2086696207","https://openalex.org/W2194490809","https://openalex.org/W631743067","https://openalex.org/W3035698984","https://openalex.org/W1581984642","https://openalex.org/W193644892","https://openalex.org/W2224610365","https://openalex.org/W3123594573","https://openalex.org/W2913125838","https://openalex.org/W1998640192","https://openalex.org/W2951275658","https://openalex.org/W3102253349","https://openalex.org/W2218190903"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
