{"id":"https://openalex.org/W2612131263","doi":"https://doi.org/10.1007/s00493-018-3846-6","title":"Tverberg-Type Theorems for Matroids: A Counterexample and a Proof","display_name":"Tverberg-Type Theorems for Matroids: A Counterexample and a Proof","publication_year":2019,"publication_date":"2019-02-11","ids":{"openalex":"https://openalex.org/W2612131263","doi":"https://doi.org/10.1007/s00493-018-3846-6","mag":"2612131263"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-018-3846-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-018-3846-6","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/1705.03624","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062964615","display_name":"Pavle V. M. Blagojevi\u0107","orcid":"https://orcid.org/0000-0003-3649-9897"},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]},{"id":"https://openalex.org/I4210125723","display_name":"Arheolo\u0161ki Institut","ror":"https://ror.org/03ajk1m02","country_code":"RS","type":"archive","lineage":["https://openalex.org/I4210125723"]}],"countries":["DE","RS"],"is_corresponding":true,"raw_author_name":"Pavle V. M. Blagojevi\u0107","raw_affiliation_strings":["Inst. Math., FU Berlin, Arnimallee 2, 14195, Berlin, Germany","Mat. Institut SANU, Knez Mihailova 36, 11000, Beograd, Serbia","Inst. Math., FU Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Inst. Math., FU Berlin, Arnimallee 2, 14195, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Mat. Institut SANU, Knez Mihailova 36, 11000, Beograd, Serbia","institution_ids":["https://openalex.org/I4210125723"]},{"raw_affiliation_string":"Inst. Math., FU Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074489452","display_name":"Albert Haase","orcid":null},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Albert Haase","raw_affiliation_strings":["Inst. Math., FU Berlin, Arnimallee 2, 14195, Berlin, Germany","Inst. Math., FU Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Inst. Math., FU Berlin, Arnimallee 2, 14195, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Inst. Math., FU Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055917631","display_name":"G\u00fcnter M. Ziegler","orcid":"https://orcid.org/0000-0003-1502-1915"},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"G\u00fcnter M. Ziegler","raw_affiliation_strings":["Inst. Math., FU Berlin, Arnimallee 2, 14195, Berlin, Germany","Inst. Math., FU Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Inst. Math., FU Berlin, Arnimallee 2, 14195, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Inst. Math., FU Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5062964615"],"corresponding_institution_ids":["https://openalex.org/I4210125723","https://openalex.org/I75951250"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00606241,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"39","issue":"3","first_page":"477","last_page":"500"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9961000084877014,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/matroid","display_name":"Matroid","score":0.9431519508361816},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.8796451091766357},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7105900645256042},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6731761693954468},{"id":"https://openalex.org/keywords/oriented-matroid","display_name":"Oriented matroid","score":0.6677507162094116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6162475347518921},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.5568563938140869},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5429761409759521},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5190470814704895},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.4188099503517151}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9431519508361816},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.8796451091766357},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7105900645256042},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6731761693954468},{"id":"https://openalex.org/C178621168","wikidata":"https://www.wikidata.org/wiki/Q16155113","display_name":"Oriented matroid","level":4,"score":0.6677507162094116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6162475347518921},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.5568563938140869},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5429761409759521},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5190470814704895},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.4188099503517151},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00493-018-3846-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-018-3846-6","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:1705.03624","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.03624","pdf_url":"https://arxiv.org/pdf/1705.03624","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:2612131263","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1705.03624.pdf","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":"doi:10.48550/arxiv.1705.03624","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1705.03624","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:1705.03624","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1705.03624","pdf_url":"https://arxiv.org/pdf/1705.03624","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1526218397","https://openalex.org/W1662520101","https://openalex.org/W1741136470","https://openalex.org/W1860417952","https://openalex.org/W1918656649","https://openalex.org/W1980508374","https://openalex.org/W1982899022","https://openalex.org/W1996168654","https://openalex.org/W2015050395","https://openalex.org/W2035973405","https://openalex.org/W2040661328","https://openalex.org/W2060557352","https://openalex.org/W2067671294","https://openalex.org/W2067755836","https://openalex.org/W2071389114","https://openalex.org/W2093495579","https://openalex.org/W2106079666","https://openalex.org/W2118624390","https://openalex.org/W2129978231","https://openalex.org/W2136176910","https://openalex.org/W2147942906","https://openalex.org/W2165125983","https://openalex.org/W2284131041","https://openalex.org/W2320980398","https://openalex.org/W2322406148","https://openalex.org/W2400349515","https://openalex.org/W2466936056","https://openalex.org/W2468295014","https://openalex.org/W2593022940","https://openalex.org/W2898822161","https://openalex.org/W2911463656","https://openalex.org/W2952826922","https://openalex.org/W2962739814","https://openalex.org/W2973274337","https://openalex.org/W2991247964","https://openalex.org/W3105084242","https://openalex.org/W4210405380","https://openalex.org/W4237012419","https://openalex.org/W4243425154","https://openalex.org/W4250990218","https://openalex.org/W4300983086"],"related_works":["https://openalex.org/W1990498689","https://openalex.org/W2589860332","https://openalex.org/W3037336089","https://openalex.org/W2998065511","https://openalex.org/W3193988609","https://openalex.org/W1992792810","https://openalex.org/W2410749992","https://openalex.org/W1607440588","https://openalex.org/W2029193795","https://openalex.org/W2301339721","https://openalex.org/W2033698179","https://openalex.org/W2091534093","https://openalex.org/W3068869348","https://openalex.org/W2540775465","https://openalex.org/W1967524134","https://openalex.org/W2902035538","https://openalex.org/W2963846517","https://openalex.org/W2964226601","https://openalex.org/W1798191639","https://openalex.org/W1947359632"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}