{"id":"https://openalex.org/W2761101429","doi":"https://doi.org/10.1137/17m1160094","title":"Doubly Exponentially Many Ingleton Matroids","display_name":"Doubly Exponentially Many Ingleton Matroids","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2761101429","doi":"https://doi.org/10.1137/17m1160094","mag":"2761101429"},"language":"en","primary_location":{"id":"doi:10.1137/17m1160094","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1160094","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.tue.nl/en/publications/ee5640ea-98d3-423f-bfd6-826a40c9f01a","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040504830","display_name":"Peter Nelson","orcid":"https://orcid.org/0000-0003-4108-635X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peter Nelson","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-4108-635X","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5081766606","display_name":"Jorn van der Pol","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jorn van der Pol","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02850927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"32","issue":"2","first_page":"1145","last_page":"1153"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9973000288009644,"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":0.9973000288009644,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9861000180244446,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9763000011444092,"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":0.990432858467102},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6276069283485413},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6224302053451538},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6153244376182556},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.5784655809402466},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.562527596950531},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.552971601486206},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.4592980444431305},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41618454456329346},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1661803424358368},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06124907732009888}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.990432858467102},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6276069283485413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6224302053451538},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6153244376182556},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.5784655809402466},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.562527596950531},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.552971601486206},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.4592980444431305},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41618454456329346},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1661803424358368},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06124907732009888},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1137/17m1160094","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1160094","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire/ee5640ea-98d3-423f-bfd6-826a40c9f01a","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/ee5640ea-98d3-423f-bfd6-826a40c9f01a","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nelson, P & van der Pol, J 2018, 'Doubly exponentially many ingleton matroids', SIAM Journal on Discrete Mathematics, vol. 32, no. 2, pp. 1145-1153. https://doi.org/10.1137/17M1160094","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1710.01924","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1710.01924","pdf_url":"https://arxiv.org/pdf/1710.01924","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:2761101429","is_oa":true,"landing_page_url":"http://arxiv.org/pdf/1710.01924.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":"pmh:902004","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=902004","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0895-4801","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:library.tue.nl:902004","is_oa":false,"landing_page_url":"http://repository.tue.nl/902004","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0895-4801","raw_type":"Article / Letter to the editor"},{"id":"pmh:tue:oai:pure.tue.nl:publications/ee5640ea-98d3-423f-bfd6-826a40c9f01a","is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/ee5640ea-98d3-423f-bfd6-826a40c9f01a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"SIAM Journal on Discrete Mathematics, 32(2), 1145 - 1153. Society for Industrial and Applied Mathematics (SIAM)","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1710.01924","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1710.01924","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:pure.tue.nl:openaire/ee5640ea-98d3-423f-bfd6-826a40c9f01a","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/ee5640ea-98d3-423f-bfd6-826a40c9f01a","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nelson, P & van der Pol, J 2018, 'Doubly exponentially many ingleton matroids', SIAM Journal on Discrete Mathematics, vol. 32, no. 2, pp. 1145-1153. https://doi.org/10.1137/17M1160094","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"display_name":"No poverty","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/1"}],"awards":[{"id":"https://openalex.org/G724478181","display_name":null,"funder_award_id":"613.001.211","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1588284605","https://openalex.org/W1653130068","https://openalex.org/W1973915392","https://openalex.org/W2011638021","https://openalex.org/W2022780488","https://openalex.org/W2074381968","https://openalex.org/W2134206798","https://openalex.org/W3123198802","https://openalex.org/W3139013448"],"related_works":["https://openalex.org/W2619991944","https://openalex.org/W2109418102","https://openalex.org/W2951232363","https://openalex.org/W2095936751","https://openalex.org/W2950164448","https://openalex.org/W2024768757","https://openalex.org/W1758887450","https://openalex.org/W2951444536","https://openalex.org/W2033812757","https://openalex.org/W3102840942","https://openalex.org/W3046868629","https://openalex.org/W748765031","https://openalex.org/W772118325","https://openalex.org/W2963847044","https://openalex.org/W3098027863","https://openalex.org/W2130590766","https://openalex.org/W2042708383","https://openalex.org/W2980045536","https://openalex.org/W2284209083","https://openalex.org/W3100204681"],"abstract_inverted_index":{"A":[0],"matroid":[1],"is":[2,34],"Ingleton":[3,28,44],"if":[4],"all":[5,43],"quadruples":[6],"of":[7,9,27],"subsets":[8],"its":[10],"ground":[11,31],"set":[12,32],"satisfy":[13],"Ingleton's":[14],"inequality.":[15],"In":[16],"particular,":[17],"representable":[18],"matroids":[19,29,45],"are":[20,46],"Ingleton.":[21],"We":[22],"show":[23],"that":[24,41],"the":[25],"number":[26],"on":[30],"$[n]$":[33],"doubly":[35],"exponential":[36],"in":[37],"$n$;":[38],"it":[39],"follows":[40],"almost":[42],"nonrepresentable.":[47]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-20T22:02:38.213706","created_date":"2025-10-10T00:00:00"}