{"id":"https://openalex.org/W2043765006","doi":"https://doi.org/10.1007/bf01235719","title":"Combinatorial relaxation algorithm for the maximum degree of subdeterminants: Computing Smith-Mcmillan form at infinity and structural indices in Kronecker form","display_name":"Combinatorial relaxation algorithm for the maximum degree of subdeterminants: Computing Smith-Mcmillan form at infinity and structural indices in Kronecker form","publication_year":1995,"publication_date":"1995-07-01","ids":{"openalex":"https://openalex.org/W2043765006","doi":"https://doi.org/10.1007/bf01235719","mag":"2043765006"},"language":"en","primary_location":{"id":"doi:10.1007/bf01235719","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01235719","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","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/A5032957138","display_name":"Kazuo Murota","orcid":"https://orcid.org/0000-0003-1518-9152"},"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":"Kazuo Murota","raw_affiliation_strings":["Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan","Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan 606#TAB#"],"affiliations":[{"raw_affiliation_string":"Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan","institution_ids":["https://openalex.org/I22299242"]},{"raw_affiliation_string":"Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan 606#TAB#","institution_ids":["https://openalex.org/I22299242"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032957138"],"corresponding_institution_ids":["https://openalex.org/I22299242"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.3684,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.96068725,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"6","issue":"4-5","first_page":"251","last_page":"273"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","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/T11435","display_name":"Polynomial and algebraic computation","score":0.9980000257492065,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7529741525650024},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.6923456788063049},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6662930250167847},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6627600193023682},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.5746749639511108},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5552866458892822},{"id":"https://openalex.org/keywords/combinatorial-algorithms","display_name":"Combinatorial algorithms","score":0.5465545058250427},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.5221731662750244},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.49268561601638794},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4362732470035553},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4046218693256378},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.25029897689819336},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1374456286430359}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7529741525650024},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.6923456788063049},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6662930250167847},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6627600193023682},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5746749639511108},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5552866458892822},{"id":"https://openalex.org/C2988809283","wikidata":"https://www.wikidata.org/wiki/Q1514868","display_name":"Combinatorial algorithms","level":2,"score":0.5465545058250427},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.5221731662750244},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.49268561601638794},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4362732470035553},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4046218693256378},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.25029897689819336},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1374456286430359},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01235719","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01235719","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","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":28,"referenced_works":["https://openalex.org/W16781508","https://openalex.org/W1513400187","https://openalex.org/W1514375184","https://openalex.org/W1539230026","https://openalex.org/W1568175246","https://openalex.org/W1576820654","https://openalex.org/W1963547452","https://openalex.org/W1973133099","https://openalex.org/W1978376980","https://openalex.org/W1995504856","https://openalex.org/W2009983789","https://openalex.org/W2029317328","https://openalex.org/W2049773063","https://openalex.org/W2062358873","https://openalex.org/W2075151302","https://openalex.org/W2082996995","https://openalex.org/W2086982849","https://openalex.org/W2125690626","https://openalex.org/W2128628497","https://openalex.org/W2128978199","https://openalex.org/W2129616845","https://openalex.org/W2150448144","https://openalex.org/W2153156309","https://openalex.org/W2163131008","https://openalex.org/W2325901031","https://openalex.org/W4293515545","https://openalex.org/W4299798129","https://openalex.org/W4301808069"],"related_works":["https://openalex.org/W3086542228","https://openalex.org/W3215789421","https://openalex.org/W4308170892","https://openalex.org/W4225500283","https://openalex.org/W2051491955","https://openalex.org/W3002271711","https://openalex.org/W4287902215","https://openalex.org/W2963442851","https://openalex.org/W4361204940","https://openalex.org/W2043765006"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
