{"id":"https://openalex.org/W1775788455","doi":"https://doi.org/10.37236/5222","title":"Isotropic Matroids I: Multimatroids and Neighborhoods","display_name":"Isotropic Matroids I: Multimatroids and Neighborhoods","publication_year":2016,"publication_date":"2016-10-14","ids":{"openalex":"https://openalex.org/W1775788455","doi":"https://doi.org/10.37236/5222","mag":"1775788455"},"language":"en","primary_location":{"id":"doi:10.37236/5222","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5222","pdf_url":null,"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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/5222","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057971093","display_name":"Robert Brijder","orcid":"https://orcid.org/0000-0002-8912-1735"},"institutions":[{"id":"https://openalex.org/I878454856","display_name":"Hasselt University","ror":"https://ror.org/04nbhqj75","country_code":"BE","type":"education","lineage":["https://openalex.org/I878454856"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Robert Brijder","raw_affiliation_strings":["Hasselt University"],"affiliations":[{"raw_affiliation_string":"Hasselt University","institution_ids":["https://openalex.org/I878454856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066749771","display_name":"Lorenzo Traldi","orcid":"https://orcid.org/0000-0003-1097-2818"},"institutions":[{"id":"https://openalex.org/I184759092","display_name":"Lafayette College","ror":"https://ror.org/036n0x007","country_code":"US","type":"education","lineage":["https://openalex.org/I184759092"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lorenzo Traldi","raw_affiliation_strings":["Lafayette College"],"affiliations":[{"raw_affiliation_string":"Lafayette College","institution_ids":["https://openalex.org/I184759092"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057971093"],"corresponding_institution_ids":["https://openalex.org/I878454856"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00536137,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","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":0.9997000098228455,"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":0.9997000098228455,"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":0.988099992275238,"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"}},{"id":"https://openalex.org/T10847","display_name":"Advanced Optical Network Technologies","score":0.98089998960495,"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":0.9636203646659851},{"id":"https://openalex.org/keywords/isotropy","display_name":"Isotropy","score":0.8601127862930298},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.8329184651374817},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7542334794998169},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6655502319335938},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.6574239730834961},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6290956735610962},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6207536458969116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6121088266372681},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4508122205734253},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4051682949066162},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12110024690628052}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9636203646659851},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.8601127862930298},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.8329184651374817},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7542334794998169},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6655502319335938},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.6574239730834961},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6290956735610962},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6207536458969116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6121088266372681},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4508122205734253},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4051682949066162},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12110024690628052},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.37236/5222","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5222","pdf_url":null,"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:arXiv.org:1503.04406","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1503.04406","pdf_url":"https://arxiv.org/pdf/1503.04406","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:1775788455","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1503.04406.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:oai:documentserver.uhasselt.be:1942/22737","is_oa":true,"landing_page_url":"http://hdl.handle.net/1942/22737","pdf_url":null,"source":{"id":"https://openalex.org/S4306401926","display_name":"Document Server@UHasselt (UHasselt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I878454856","host_organization_name":"Hasselt University","host_organization_lineage":["https://openalex.org/I878454856"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1503.04406","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1503.04406","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-journal"}],"best_oa_location":{"id":"doi:10.37236/5222","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5222","pdf_url":null,"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":[{"display_name":"Life in Land","score":0.6499999761581421,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G3231420740","display_name":null,"funder_award_id":"postdoc","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W31249417","https://openalex.org/W247697463","https://openalex.org/W1501742082","https://openalex.org/W1610793553","https://openalex.org/W2021697855","https://openalex.org/W2033956728","https://openalex.org/W2038711832","https://openalex.org/W2041910029","https://openalex.org/W2052159979","https://openalex.org/W2059123040","https://openalex.org/W2071547261","https://openalex.org/W2075373454","https://openalex.org/W2106818977","https://openalex.org/W2110055721","https://openalex.org/W2127261443","https://openalex.org/W2135861887","https://openalex.org/W2170114629","https://openalex.org/W2257835027","https://openalex.org/W2598805119","https://openalex.org/W2914422925","https://openalex.org/W3101343723","https://openalex.org/W3139860308"],"related_works":["https://openalex.org/W2964308755","https://openalex.org/W3139860308","https://openalex.org/W2035182273","https://openalex.org/W2024768757","https://openalex.org/W2141667625","https://openalex.org/W2068081829","https://openalex.org/W2550106438","https://openalex.org/W146649319","https://openalex.org/W1758887450","https://openalex.org/W2089493193","https://openalex.org/W3010395300","https://openalex.org/W2952597554","https://openalex.org/W3098027863","https://openalex.org/W2033812757","https://openalex.org/W1571755273","https://openalex.org/W2062599373","https://openalex.org/W2109418102","https://openalex.org/W3046868629","https://openalex.org/W2006277237","https://openalex.org/W3102840942"],"abstract_inverted_index":{"Several":[0],"properties":[1],"of":[2,6,17,34,46,53],"the":[3,18,31,47],"isotropic":[4,24,32,75],"matroid":[5,33],"a":[7,15,51,62,80],"looped":[8],"simple":[9],"graph":[10],"are":[11,21,56,68,77],"presented.":[12],"Results":[13],"include":[14,50],"characterization":[16,52],"multimatroids":[19],"that":[20,55,65],"associated":[22],"with":[23],"matroids":[25,76],"and":[26,71,79],"several":[27],"ways":[28],"in":[29],"which":[30],"$G$":[35],"incorporates":[36],"information":[37],"about":[38],"graphs":[39,54],"locally":[40,57],"equivalent":[41,58],"to":[42,59,82],"$G$.":[43],"Specific":[44],"results":[45],"latter":[48],"type":[49],"bipartite":[60],"graphs,":[61],"direct":[63],"proof":[64],"two":[66],"forests":[67],"isomorphic":[69],"if":[70,73],"only":[72,88],"their":[74],"isomorphic,":[78],"way":[81],"express":[83],"local":[84],"equivalence":[85],"indirectly,":[86],"using":[87],"edge":[89],"pivots.":[90]},"counts_by_year":[],"updated_date":"2026-03-22T08:09:32.410652","created_date":"2025-10-10T00:00:00"}