{"id":"https://openalex.org/W2403673488","doi":"https://doi.org/10.1137/16m1077283","title":"Templates for Binary Matroids","display_name":"Templates for Binary Matroids","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2403673488","doi":"https://doi.org/10.1137/16m1077283","mag":"2403673488"},"language":"en","primary_location":{"id":"doi:10.1137/16m1077283","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1077283","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":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1605.08098","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072511306","display_name":"Kevin Grace","orcid":"https://orcid.org/0000-0002-6445-0866"},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kevin Grace","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803","institution_ids":["https://openalex.org/I121820613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046528024","display_name":"Stefan H. M. van Zwam","orcid":null},"institutions":[{"id":"https://openalex.org/I121820613","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57","country_code":"US","type":"education","lineage":["https://openalex.org/I121820613"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stefan H. M. van Zwam","raw_affiliation_strings":["Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803","institution_ids":["https://openalex.org/I121820613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4356,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82525106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"31","issue":"1","first_page":"254","last_page":"282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9883999824523926,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9858999848365784,"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/matroid","display_name":"Matroid","score":0.9583118557929993},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7092976570129395},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.7019321918487549},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.6318567991256714},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6204320788383484},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5769931077957153},{"id":"https://openalex.org/keywords/minor","display_name":"Minor (academic)","score":0.5532544851303101},{"id":"https://openalex.org/keywords/preorder","display_name":"Preorder","score":0.5465393662452698},{"id":"https://openalex.org/keywords/template","display_name":"Template","score":0.49589666724205017},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46632009744644165},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42295658588409424},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.4112311601638794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.312563419342041},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08898240327835083},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0682939887046814}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9583118557929993},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7092976570129395},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.7019321918487549},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.6318567991256714},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6204320788383484},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5769931077957153},{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.5532544851303101},{"id":"https://openalex.org/C2333172","wikidata":"https://www.wikidata.org/wiki/Q1425985","display_name":"Preorder","level":2,"score":0.5465393662452698},{"id":"https://openalex.org/C82714645","wikidata":"https://www.wikidata.org/wiki/Q438331","display_name":"Template","level":2,"score":0.49589666724205017},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46632009744644165},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42295658588409424},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.4112311601638794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.312563419342041},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08898240327835083},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0682939887046814},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/16m1077283","is_oa":false,"landing_page_url":"https://doi.org/10.1137/16m1077283","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:research-information.bris.ac.uk:openaire/f61a8c00-a2ce-4729-a592-19416738d2e7","is_oa":false,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/f61a8c00-a2ce-4729-a592-19416738d2e7","pdf_url":null,"source":{"id":"https://openalex.org/S7407055359","display_name":"Explore Bristol Research","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Grace, K & Van Zwam, S H M 2017, 'Templates for Binary Matroids', SIAM Journal on Discrete Mathematics, vol. 31, no. 1, pp. 254-282. https://doi.org/10.1137/16M1077283","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1605.08098","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.08098","pdf_url":"https://arxiv.org/pdf/1605.08098","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":null,"raw_type":"text"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/f61a8c00-a2ce-4729-a592-19416738d2e7","is_oa":false,"landing_page_url":"https://arxiv.org/abs/1605.08098","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1605.08098","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1605.08098","pdf_url":"https://arxiv.org/pdf/1605.08098","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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G36012107","display_name":null,"funder_award_id":"1500343","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320310395","display_name":"Louisiana State University","ror":"https://ror.org/05ect4e57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1973793988","https://openalex.org/W1976828798","https://openalex.org/W1985284097","https://openalex.org/W2035409201","https://openalex.org/W2050921239","https://openalex.org/W2057654888","https://openalex.org/W2065002346","https://openalex.org/W2963194446"],"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/W2494200571","https://openalex.org/W4298343133","https://openalex.org/W2651734166"],"abstract_inverted_index":{"A":[0],"binary":[1,9,65,71],"frame":[2],"template":[3],"is":[4],"a":[5,29,89,98],"device":[6],"for":[7],"creating":[8],"matroids":[10,17,72,87],"from":[11],"graphic":[12],"or":[13,22],"cographic":[14],"matroids.":[15,107],"Such":[16],"are":[18,40],"said":[19],"to":[20,24,44,77,83],"conform":[21],"coconform":[23],"the":[25,36,56,68,103],"template.":[26],"We":[27],"introduce":[28],"preorder":[30],"on":[31],"these":[32],"templates":[33,38],"and":[34],"determine":[35,55],"nontrivial":[37],"that":[39],"minimal":[41],"with":[42,73],"respect":[43],"this":[45],"order.":[46],"As":[47,97],"an":[48],"application":[49],"of":[50,60,64,70,94],"our":[51],"main":[52,80],"result,":[53],"we":[54,101],"eventual":[57],"growth":[58],"rates":[59],"certain":[61],"minor-closed":[62],"classes":[63],"matroids,":[66],"including":[67],"class":[69],"no":[74],"minor":[75],"isomorphic":[76],"$PG(3,2)$.":[78],"Our":[79],"result":[81],"applies":[82],"all":[84],"highly":[85,104],"connected":[86,105],"in":[88],"class,":[90],"not":[91],"just":[92],"those":[93],"maximum":[95],"size.":[96],"second":[99],"application,":[100],"characterize":[102],"1-flowing":[106]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2020-11-23T00:00:00"}
