{"id":"https://openalex.org/W3215138631","doi":"https://doi.org/10.37236/11946","title":"Almost Every Matroid has an $M(K_4)$- or a $\\mathcal{W}^3$-Minor","display_name":"Almost Every Matroid has an $M(K_4)$- or a $\\mathcal{W}^3$-Minor","publication_year":2023,"publication_date":"2023-11-16","ids":{"openalex":"https://openalex.org/W3215138631","doi":"https://doi.org/10.37236/11946","mag":"3215138631"},"language":"en","primary_location":{"id":"doi:10.37236/11946","is_oa":true,"landing_page_url":"https://doi.org/10.37236/11946","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i4p23/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i4p23/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081766606","display_name":"Jorn van der Pol","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["CA","NL"],"is_corresponding":true,"raw_author_name":"Jorn Van der Pol","raw_affiliation_strings":["Department of Applied Mathematics, University of Twente, Enschede, The Netherlands","University of Waterloo, Waterloo, Ontario, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, University of Twente, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]},{"raw_affiliation_string":"University of Waterloo, Waterloo, Ontario, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081766606"],"corresponding_institution_ids":["https://openalex.org/I151746483","https://openalex.org/I94624287"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00706596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9976000189781189,"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":0.9976000189781189,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9789000153541565,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8594529628753662},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8455914258956909},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.8331961631774902},{"id":"https://openalex.org/keywords/minor","display_name":"Minor (academic)","score":0.7671228647232056},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3622852563858032},{"id":"https://openalex.org/keywords/humanities","display_name":"Humanities","score":0.07878312468528748}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8594529628753662},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8455914258956909},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.8331961631774902},{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.7671228647232056},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3622852563858032},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.07878312468528748},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/11946","is_oa":true,"landing_page_url":"https://doi.org/10.37236/11946","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i4p23/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:ris.utwente.nl:openaire/a75be0e9-31ac-497a-b465-831cfd1f8f06","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/a75be0e9-31ac-497a-b465-831cfd1f8f06","pdf_url":null,"source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"van der Pol, J 2023, 'Almost every matroid has an M(K 4 )- or a W\u00b3-minor', The Electronic journal of combinatorics, vol. 30, no. 4, P4.23. https://doi.org/10.37236/11946","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.37236/11946","is_oa":true,"landing_page_url":"https://doi.org/10.37236/11946","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i4p23/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3215138631.pdf"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1977699786","https://openalex.org/W2011638021","https://openalex.org/W2023600080","https://openalex.org/W2038849353","https://openalex.org/W2072256150","https://openalex.org/W2093276208","https://openalex.org/W2115434582","https://openalex.org/W2134206798","https://openalex.org/W2755210407","https://openalex.org/W2761328499","https://openalex.org/W2962978631","https://openalex.org/W2964032948","https://openalex.org/W2964792792","https://openalex.org/W4294551359","https://openalex.org/W6668267565"],"related_works":["https://openalex.org/W2058299944","https://openalex.org/W4323360720","https://openalex.org/W1550144461","https://openalex.org/W4233892543","https://openalex.org/W2783959783","https://openalex.org/W2602164040","https://openalex.org/W4300453872","https://openalex.org/W2118686135","https://openalex.org/W2951684632","https://openalex.org/W2381226549"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2],"almost":[3],"every":[4],"matroid":[5,14],"contains":[6],"the":[7,12],"rank-3":[8],"whirl":[9],"$\\mathcal{W}^3$":[10],"or":[11],"complete-graphic":[13],"$M(K_4)$":[15],"as":[16],"a":[17],"minor.":[18]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}