{"id":"https://openalex.org/W2058547371","doi":"https://doi.org/10.1016/0012-365x(83)90011-0","title":"Multiplicative submodularity of a matrix's principal minor as a function of the set of its rows and some combinatorial applications","display_name":"Multiplicative submodularity of a matrix's principal minor as a function of the set of its rows and some combinatorial applications","publication_year":1983,"publication_date":"1983-01-01","ids":{"openalex":"https://openalex.org/W2058547371","doi":"https://doi.org/10.1016/0012-365x(83)90011-0","mag":"2058547371"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(83)90011-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(83)90011-0","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5044955882","display_name":"Alexander Kelmans","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A.K. Kelmans","raw_affiliation_strings":["Profsouznaia St., 130, korp. 3, kv. 33, Moscow 117321, USSR","Profsouznaia St., 130, korp. 3, kv. 33, Moscow 117321, USSR#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Profsouznaia St., 130, korp. 3, kv. 33, Moscow 117321, USSR","institution_ids":[]},{"raw_affiliation_string":"Profsouznaia St., 130, korp. 3, kv. 33, Moscow 117321, USSR#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081968667","display_name":"Boris Kimelfeld","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B.N. Kimelfeld","raw_affiliation_strings":["Konakovski\u01d0 proez\u00e1 15, kv. 23, Moscow 125565, USSR","Konakovskii proez\u00e1 15, kv. 23, Moscow 125565, USSR#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Konakovski\u01d0 proez\u00e1 15, kv. 23, Moscow 125565, USSR","institution_ids":[]},{"raw_affiliation_string":"Konakovskii proez\u00e1 15, kv. 23, Moscow 125565, USSR#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.2206486,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"44","issue":"1","first_page":"113","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9965999722480774,"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":0.9965999722480774,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9904999732971191,"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/mathematics","display_name":"Mathematics","score":0.7951950430870056},{"id":"https://openalex.org/keywords/minor","display_name":"Minor (academic)","score":0.7321695685386658},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.728172779083252},{"id":"https://openalex.org/keywords/row","display_name":"Row","score":0.7090781331062317},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6675213575363159},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.612601637840271},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.523182213306427},{"id":"https://openalex.org/keywords/set-function","display_name":"Set function","score":0.49163228273391724},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48070865869522095},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4179359972476959},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18235212564468384}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7951950430870056},{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.7321695685386658},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.728172779083252},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.7090781331062317},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6675213575363159},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.612601637840271},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.523182213306427},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.49163228273391724},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48070865869522095},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4179359972476959},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18235212564468384},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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:10.1016/0012-365x(83)90011-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(83)90011-0","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5799999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W1970826561","https://openalex.org/W2085958541"],"related_works":["https://openalex.org/W329326438","https://openalex.org/W2382791850","https://openalex.org/W2021000796","https://openalex.org/W2054860235","https://openalex.org/W1989933959","https://openalex.org/W4250634982","https://openalex.org/W1965461781","https://openalex.org/W4210598373","https://openalex.org/W2283513731","https://openalex.org/W2058547371"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}