{"id":"https://openalex.org/W1984819493","doi":"https://doi.org/10.1142/s1793830915500196","title":"Parallel algorithms for matroid intersection and matroid parity","display_name":"Parallel algorithms for matroid intersection and matroid parity","publication_year":2015,"publication_date":"2015-03-23","ids":{"openalex":"https://openalex.org/W1984819493","doi":"https://doi.org/10.1142/s1793830915500196","mag":"1984819493"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830915500196","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830915500196","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5014825318","display_name":"Jinyu Huang","orcid":"https://orcid.org/0000-0001-8237-6324"},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jinyu Huang","raw_affiliation_strings":["Department of Applied Mathematics, Illinois Institute of Technology, Engineering 1 Building 10 West 32nd Street, Chicago, IL, 60616, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Illinois Institute of Technology, Engineering 1 Building 10 West 32nd Street, Chicago, IL, 60616, USA","institution_ids":["https://openalex.org/I180949307"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014825318"],"corresponding_institution_ids":["https://openalex.org/I180949307"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06026756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"07","issue":"02","first_page":"1550019","last_page":"1550019"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"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/T10237","display_name":"Cryptography and Data Security","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9806345701217651},{"id":"https://openalex.org/keywords/weighted-matroid","display_name":"Weighted matroid","score":0.9391657114028931},{"id":"https://openalex.org/keywords/matroid-partitioning","display_name":"Matroid partitioning","score":0.9326838254928589},{"id":"https://openalex.org/keywords/oriented-matroid","display_name":"Oriented matroid","score":0.8693592548370361},{"id":"https://openalex.org/keywords/graphic-matroid","display_name":"Graphic matroid","score":0.8309406042098999},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7225128412246704},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6677722930908203},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5374785661697388},{"id":"https://openalex.org/keywords/parity","display_name":"Parity (physics)","score":0.47002482414245605},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4169888496398926},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.062326282262802124}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.9806345701217651},{"id":"https://openalex.org/C124344645","wikidata":"https://www.wikidata.org/wiki/Q7979897","display_name":"Weighted matroid","level":5,"score":0.9391657114028931},{"id":"https://openalex.org/C22425182","wikidata":"https://www.wikidata.org/wiki/Q6787906","display_name":"Matroid partitioning","level":4,"score":0.9326838254928589},{"id":"https://openalex.org/C178621168","wikidata":"https://www.wikidata.org/wiki/Q16155113","display_name":"Oriented matroid","level":4,"score":0.8693592548370361},{"id":"https://openalex.org/C111034964","wikidata":"https://www.wikidata.org/wiki/Q5597156","display_name":"Graphic matroid","level":3,"score":0.8309406042098999},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7225128412246704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6677722930908203},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5374785661697388},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.47002482414245605},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4169888496398926},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.062326282262802124},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830915500196","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830915500196","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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":17,"referenced_works":["https://openalex.org/W1494735819","https://openalex.org/W1545592468","https://openalex.org/W1560056453","https://openalex.org/W1979740015","https://openalex.org/W1981234161","https://openalex.org/W1993449345","https://openalex.org/W2022124805","https://openalex.org/W2026036943","https://openalex.org/W2029437570","https://openalex.org/W2039034730","https://openalex.org/W2065251841","https://openalex.org/W2087311268","https://openalex.org/W2125463200","https://openalex.org/W2170492169","https://openalex.org/W2988480584","https://openalex.org/W4213009134","https://openalex.org/W4247557026"],"related_works":["https://openalex.org/W2400862597","https://openalex.org/W1984819493","https://openalex.org/W2058489697","https://openalex.org/W2625145881","https://openalex.org/W2159059797","https://openalex.org/W2072414647","https://openalex.org/W4246417054","https://openalex.org/W2106233458","https://openalex.org/W4226057593","https://openalex.org/W2006784845"],"abstract_inverted_index":{"A":[0],"maximum":[1],"linear":[2,37,156],"matroid":[3,10,33,38,41,58,72,100,103,120,152,157,160],"parity":[4,11,34,59,153],"set":[5],"is":[6,16,43,74,85,127,139],"called":[7],"a":[8,29,68,108,115,128,148],"basic":[9],"set,":[12],"if":[13,79,125],"its":[14],"size":[15],"the":[17,20,26,80,94,145],"rank":[18],"of":[19,28,54,82,147],"matroid.":[21],"We":[22,105,122],"show":[23,65],"that":[24,49,66,113,124],"determining":[25],"existence":[27,146],"common":[30,55,69,83,116,149],"base":[31,70,117,150],"(basic":[32,57,151],"set)":[35,154],"for":[36,71,99,118,132,155],"intersection":[39,73,101,158],"(linear":[40,159],"parity)":[42],"in":[44,75],"NC":[45,76,97,130,141],"2":[46,77,111],",":[47,78],"provided":[48],"there":[50,126,138],"are":[51,93],"polynomial":[52,86],"number":[53,81],"bases":[56,84],"sets).":[60],"For":[61],"graphic":[62,119],"matroids,":[63],"we":[64],"finding":[67],"bounded.":[87],"To":[88],"our":[89],"knowledge,":[90],"these":[91],"algorithms":[92,98],"first":[95],"deterministic":[96],"and":[102],"parity.":[104],"also":[106],"give":[107],"new":[109],"RNC":[110],"algorithm":[112,131,142],"finds":[114],"intersection.":[121],"prove":[123],"black-box":[129],"Polynomial":[133],"Identity":[134],"Testing":[135],"(PIT),":[136],"then":[137],"an":[140],"to":[143],"determine":[144],"parity).":[161]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
