{"id":"https://openalex.org/W1486794605","doi":"https://doi.org/10.37236/1492","title":"Parity Systems and the Delta-Matroid Intersection Problem","display_name":"Parity Systems and the Delta-Matroid Intersection Problem","publication_year":1999,"publication_date":"1999-09-03","ids":{"openalex":"https://openalex.org/W1486794605","doi":"https://doi.org/10.37236/1492","mag":"1486794605"},"language":"en","primary_location":{"id":"doi:10.37236/1492","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1492","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v7i1r14/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":false,"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":null,"license_id":null,"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":"bronze","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v7i1r14/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111731744","display_name":"Andr\u00e9 Bouchet","orcid":null},"institutions":[{"id":"https://openalex.org/I7947594","display_name":"University of Maine","ror":"https://ror.org/01adr0w49","country_code":"US","type":"education","lineage":["https://openalex.org/I2802397601","https://openalex.org/I7947594"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 Bouchet","raw_affiliation_strings":["Dpartement d'informatique, Universit du Maine, 72017 Le Mans Cedex, France","University of Maine, France"],"affiliations":[{"raw_affiliation_string":"Dpartement d'informatique, Universit du Maine, 72017 Le Mans Cedex, France","institution_ids":[]},{"raw_affiliation_string":"University of Maine, France","institution_ids":["https://openalex.org/I7947594"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059315194","display_name":"Bill Jackson","orcid":"https://orcid.org/0000-0002-1381-8675"},"institutions":[{"id":"https://openalex.org/I55521800","display_name":"Goldsmiths University of London","ror":"https://ror.org/01khx4a30","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I55521800"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Bill Jackson","raw_affiliation_strings":["Department of Mathematical and Computing Sciences, Goldsmiths' College, London SE14 6NW, England","Goldsmiths\u201a University of London"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Computing Sciences, Goldsmiths' College, London SE14 6NW, England","institution_ids":[]},{"raw_affiliation_string":"Goldsmiths\u201a University of London","institution_ids":["https://openalex.org/I55521800"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111731744"],"corresponding_institution_ids":["https://openalex.org/I7947594"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.06895383,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"7","issue":"1","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":0.9993000030517578,"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":0.9993000030517578,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.9732829332351685},{"id":"https://openalex.org/keywords/parity","display_name":"Parity (physics)","score":0.7656876444816589},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7084478139877319},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6976287961006165},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5094442963600159},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4632358253002167},{"id":"https://openalex.org/keywords/carry","display_name":"Carry (investment)","score":0.45190683007240295},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05916854739189148}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9732829332351685},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.7656876444816589},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7084478139877319},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6976287961006165},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5094442963600159},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4632358253002167},{"id":"https://openalex.org/C2776299755","wikidata":"https://www.wikidata.org/wiki/Q432449","display_name":"Carry (investment)","level":2,"score":0.45190683007240295},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05916854739189148},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/1492","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1492","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v7i1r14/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":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.86.2310","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.86.2310","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.emis.de/journals/EJC/Volume_7/PDF/v7i1r14.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/1492","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1492","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v7i1r14/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":false,"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":null,"license_id":null,"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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1486794605.pdf","grobid_xml":"https://content.openalex.org/works/W1486794605.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1501742082","https://openalex.org/W1602190525","https://openalex.org/W1978437601","https://openalex.org/W1991963660","https://openalex.org/W2000743971","https://openalex.org/W2010580694","https://openalex.org/W2031297526","https://openalex.org/W2033956728","https://openalex.org/W2042275390","https://openalex.org/W2090799803","https://openalex.org/W4285719527","https://openalex.org/W6602349450","https://openalex.org/W6608180231"],"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/W2037206237","https://openalex.org/W4310658774","https://openalex.org/W3000635646","https://openalex.org/W2381226549"],"abstract_inverted_index":{"We":[0,63],"consider":[1],"the":[2,10,22,60,68],"problem":[3],"of":[4,24,44,67,70],"determining":[5],"when":[6],"two":[7,53,56],"delta-matroids":[8],"on":[9,59],"same":[11,61],"ground-set":[12],"have":[13],"a":[14,33,40],"common":[15],"base.":[16],"Our":[17],"approach":[18],"is":[19],"to":[20,32,79],"adapt":[21],"theory":[23],"matchings":[25],"in":[26],"2-polymatroids":[27],"developed":[28],"by":[29,50],"Lov\u00e1sz":[30,71],"$[13]$":[31],"new":[34],"abstract":[35],"system,":[36],"which":[37],"we":[38],"call":[39],"parity":[41,45,80],"system.":[42],"Examples":[43],"systems":[46],"may":[47],"be":[48],"obtained":[49],"combining":[51],"either,":[52],"delta-matroids,":[54],"or":[55],"orthogonal":[57],"2-polymatroids,":[58],"ground-sets.":[62],"show":[64],"that":[65],"many":[66],"results":[69],"concerning":[72],"'double":[73],"flowers'":[74],"and":[75],"'projections'":[76],"carry":[77],"over":[78],"systems.":[81]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}