{"id":"https://openalex.org/W2130463843","doi":"https://doi.org/10.1017/s0963548301004850","title":"On Minimally 3-Connected Binary Matroids","display_name":"On Minimally 3-Connected Binary Matroids","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W2130463843","doi":"https://doi.org/10.1017/s0963548301004850","mag":"2130463843"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548301004850","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548301004850","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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/A5087069531","display_name":"Talmage James Reid","orcid":null},"institutions":[{"id":"https://openalex.org/I368840534","display_name":"University of Mississippi","ror":"https://ror.org/02teq1165","country_code":"US","type":"education","lineage":["https://openalex.org/I368840534","https://openalex.org/I4210141039"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"TALMAGE JAMES REID","raw_affiliation_strings":["Department of Mathematics, The University of Mississippi, University, MS 38677, USA; (e-mail:","Department of Mathematics, The University of Mississippi, University, MS 38677, USA; (e-mail: mmreid@olemiss.edu)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Mississippi, University, MS 38677, USA; (e-mail:","institution_ids":["https://openalex.org/I368840534"]},{"raw_affiliation_string":"Department of Mathematics, The University of Mississippi, University, MS 38677, USA; (e-mail: mmreid@olemiss.edu)#TAB#","institution_ids":["https://openalex.org/I368840534"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014610188","display_name":"Haidong Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I145610796","display_name":"Southern University and Agricultural and Mechanical College","ror":"https://ror.org/04r3m2882","country_code":"US","type":"education","lineage":["https://openalex.org/I145610796"]},{"id":"https://openalex.org/I2802599936","display_name":"Southern University Law Center","ror":"https://ror.org/02q9fse63","country_code":"US","type":"education","lineage":["https://openalex.org/I2802599936"]},{"id":"https://openalex.org/I74969885","display_name":"Southern University","ror":"https://ror.org/05bg0c903","country_code":"BD","type":"education","lineage":["https://openalex.org/I74969885"]}],"countries":["BD","US"],"is_corresponding":false,"raw_author_name":"HAIDONG WU","raw_affiliation_strings":["Department of Mathematics, Southern University, Baton Rouge, Louisiana, LA 70813, USA; (e-mail:","Department of Mathematics, Southern University, Baton Rouge, Louisiana, LA 70813, USA; (e-mail: hwu@olemiss.edu)#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southern University, Baton Rouge, Louisiana, LA 70813, USA; (e-mail:","institution_ids":["https://openalex.org/I145610796","https://openalex.org/I2802599936","https://openalex.org/I74969885"]},{"raw_affiliation_string":"Department of Mathematics, Southern University, Baton Rouge, Louisiana, LA 70813, USA; (e-mail: hwu@olemiss.edu)#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9092,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76937999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"10","issue":"5","first_page":"453","last_page":"461"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9988999962806702,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.8722665309906006},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7971614003181458},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6531597375869751},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.641886830329895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6110955476760864},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48079127073287964},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.4521782398223877},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.4187651574611664},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12426963448524475},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05889686942100525}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.8722665309906006},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7971614003181458},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6531597375869751},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.641886830329895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6110955476760864},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48079127073287964},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.4521782398223877},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.4187651574611664},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12426963448524475},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05889686942100525}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548301004850","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548301004850","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W171464046","https://openalex.org/W221616633","https://openalex.org/W1975626237","https://openalex.org/W1986323214","https://openalex.org/W1987433254","https://openalex.org/W2053058769","https://openalex.org/W2063263744","https://openalex.org/W2077142990","https://openalex.org/W2335172256"],"related_works":["https://openalex.org/W2058489697","https://openalex.org/W2106412416","https://openalex.org/W4367050287","https://openalex.org/W2046319394","https://openalex.org/W2072414647","https://openalex.org/W146649319","https://openalex.org/W2550106438","https://openalex.org/W4313680207","https://openalex.org/W2494200571","https://openalex.org/W4298343133"],"abstract_inverted_index":{"We":[0,36],"generalize":[1],"a":[2],"minimal":[3],"3-connectivity":[4],"result":[5],"of":[6,15,30,32,43,45],"Halin":[7,48],"from":[8],"graphs":[9,53],"to":[10,18],"binary":[11],"matroids.":[12],"As":[13],"applications":[14],"this":[16],"theorem":[17],"minimally":[19,50],"3-connected":[20],"matroids,":[21],"we":[22],"obtain":[23],"new":[24,39],"results":[25,31,44],"and":[26,34,47],"short":[27,40],"inductive":[28,41],"proofs":[29,42],"Oxley":[33],"Wu.":[35],"also":[37],"give":[38],"Dirac":[46],"on":[49],"k":[51,55],"-connected":[52],"for":[54],"\u2208":[56],"{2,3}.":[57]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
