{"id":"https://openalex.org/W1636771208","doi":"https://doi.org/10.1007/978-3-642-20807-2_22","title":"Computing the Maximum Degree of Minors in Mixed Polynomial Matrices via Combinatorial Relaxation","display_name":"Computing the Maximum Degree of Minors in Mixed Polynomial Matrices via Combinatorial Relaxation","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1636771208","doi":"https://doi.org/10.1007/978-3-642-20807-2_22","mag":"1636771208"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-20807-2_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-20807-2_22","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5040460257","display_name":"Satoru Iwata","orcid":"https://orcid.org/0000-0002-6467-1335"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Satoru Iwata","raw_affiliation_strings":["Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan"],"affiliations":[{"raw_affiliation_string":"Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075575637","display_name":"Mizuyo Takamatsu","orcid":"https://orcid.org/0000-0002-8048-6439"},"institutions":[{"id":"https://openalex.org/I96679780","display_name":"Chuo University","ror":"https://ror.org/03qvqb743","country_code":"JP","type":"education","lineage":["https://openalex.org/I96679780"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Mizuyo Takamatsu","raw_affiliation_strings":["Department of Information and System Engineering, Chuo University, Tokyo, 112-8551, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information and System Engineering, Chuo University, Tokyo, 112-8551, Japan","institution_ids":["https://openalex.org/I96679780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040460257"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3891,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64411765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"274","last_page":"286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","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/T10792","display_name":"Matrix Theory and Algorithms","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/T11435","display_name":"Polynomial and algebraic computation","score":0.9990000128746033,"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":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7108784914016724},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.571916937828064},{"id":"https://openalex.org/keywords/combinatorial-algorithms","display_name":"Combinatorial algorithms","score":0.5646771192550659},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5318892598152161},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5158306956291199},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5155367851257324},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5055716037750244},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4881663918495178},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4721817076206207},{"id":"https://openalex.org/keywords/assignment-problem","display_name":"Assignment problem","score":0.4153367280960083},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3656856417655945},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35617655515670776},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3181207478046417}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7108784914016724},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.571916937828064},{"id":"https://openalex.org/C2988809283","wikidata":"https://www.wikidata.org/wiki/Q1514868","display_name":"Combinatorial algorithms","level":2,"score":0.5646771192550659},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5318892598152161},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5158306956291199},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5155367851257324},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5055716037750244},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4881663918495178},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4721817076206207},{"id":"https://openalex.org/C85044808","wikidata":"https://www.wikidata.org/wiki/Q620614","display_name":"Assignment problem","level":2,"score":0.4153367280960083},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3656856417655945},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35617655515670776},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3181207478046417},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-20807-2_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-20807-2_22","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1494735819","https://openalex.org/W1522351268","https://openalex.org/W1533712308","https://openalex.org/W1594960997","https://openalex.org/W1965530691","https://openalex.org/W1973133099","https://openalex.org/W1996965151","https://openalex.org/W1999848117","https://openalex.org/W2002297246","https://openalex.org/W2013474260","https://openalex.org/W2018158936","https://openalex.org/W2023810039","https://openalex.org/W2029534886","https://openalex.org/W2032951732","https://openalex.org/W2043765006","https://openalex.org/W2061647611","https://openalex.org/W2062358873","https://openalex.org/W2068200970","https://openalex.org/W2068844468","https://openalex.org/W2076736619","https://openalex.org/W2084801848","https://openalex.org/W2090223047","https://openalex.org/W2094372481","https://openalex.org/W2128628497","https://openalex.org/W2128978199","https://openalex.org/W2157251766","https://openalex.org/W2500540229","https://openalex.org/W2971043731","https://openalex.org/W4205295188","https://openalex.org/W4210391498"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2999799752","https://openalex.org/W2151412766","https://openalex.org/W2377767825","https://openalex.org/W1774334694","https://openalex.org/W4390091606","https://openalex.org/W2356704893"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}