{"id":"https://openalex.org/W4307166039","doi":"https://doi.org/10.37236/11127","title":"Double Generalized Majorization","display_name":"Double Generalized Majorization","publication_year":2022,"publication_date":"2022-10-21","ids":{"openalex":"https://openalex.org/W4307166039","doi":"https://doi.org/10.37236/11127"},"language":"en","primary_location":{"id":"doi:10.37236/11127","is_oa":true,"landing_page_url":"https://doi.org/10.37236/11127","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i4p19/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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i4p19/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036246635","display_name":"Marija Dodig","orcid":"https://orcid.org/0000-0001-8209-6920"},"institutions":[{"id":"https://openalex.org/I4390039372","display_name":"Mathematical Institute of the Serbian Academy of Sciences and Arts","ror":"https://ror.org/02jxk1021","country_code":null,"type":"education","lineage":["https://openalex.org/I1338511612","https://openalex.org/I4390039372"]},{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I4387152517","display_name":"Instituto Superior T\u00e9cnico","ror":"https://ror.org/03db2by73","country_code":null,"type":"education","lineage":["https://openalex.org/I141596103","https://openalex.org/I4387152517"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Marija Dodig","raw_affiliation_strings":["Mathematical Institute SANU Knez Mihajlova 36 11000 Belgrade, Serbia","Departamento de Matem\u00e1tica Instituto Superior T\u00e9cnico, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal","Departamento de Mat\u00e9matica Faculdade de Ci\u00eancias, Universidade de Lisboa Edificio C6, Campo Grande 1749-016 Lisbon, Portugal and"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute SANU Knez Mihajlova 36 11000 Belgrade, Serbia","institution_ids":["https://openalex.org/I4390039372"]},{"raw_affiliation_string":"Departamento de Matem\u00e1tica Instituto Superior T\u00e9cnico, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal","institution_ids":["https://openalex.org/I4387152517"]},{"raw_affiliation_string":"Departamento de Mat\u00e9matica Faculdade de Ci\u00eancias, Universidade de Lisboa Edificio C6, Campo Grande 1749-016 Lisbon, Portugal and","institution_ids":["https://openalex.org/I141596103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081607360","display_name":"Marko Sto\u0161i\u0107","orcid":"https://orcid.org/0000-0002-4464-396X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marko Stosic","raw_affiliation_strings":["CAMGSD, IST"],"affiliations":[{"raw_affiliation_string":"CAMGSD, IST","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036246635"],"corresponding_institution_ids":["https://openalex.org/I141596103","https://openalex.org/I4387152517","https://openalex.org/I4390039372"],"apc_list":null,"apc_paid":null,"fwci":0.2776,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63600708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"29","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9900000095367432,"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"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9900000095367432,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9878000020980835,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9799000024795532,"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/mathematics","display_name":"Mathematics","score":0.862701952457428},{"id":"https://openalex.org/keywords/majorization","display_name":"Majorization","score":0.7323277592658997},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6298697590827942},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5142998099327087},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.46396908164024353},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.45524781942367554},{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.45523881912231445},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4291345179080963},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3448074460029602},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33839091658592224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07351267337799072}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.862701952457428},{"id":"https://openalex.org/C2777818330","wikidata":"https://www.wikidata.org/wiki/Q1994695","display_name":"Majorization","level":2,"score":0.7323277592658997},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6298697590827942},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5142998099327087},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.46396908164024353},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.45524781942367554},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.45523881912231445},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4291345179080963},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3448074460029602},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33839091658592224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07351267337799072},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/11127","is_oa":true,"landing_page_url":"https://doi.org/10.37236/11127","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i4p19/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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/11127","is_oa":true,"landing_page_url":"https://doi.org/10.37236/11127","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v29i4p19/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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6000000238418579}],"awards":[{"id":"https://openalex.org/G1886981331","display_name":null,"funder_award_id":"project UID","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3272457656","display_name":null,"funder_award_id":"UIDB/","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G4118941449","display_name":null,"funder_award_id":"7749891","funder_id":"https://openalex.org/F4320329307","funder_display_name":"Science Fund of the Republic of Serbia"},{"id":"https://openalex.org/G5625324167","display_name":null,"funder_award_id":"EXPL/MAT-PUR/0584/2021","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G7771215789","display_name":null,"funder_award_id":"7744592","funder_id":"https://openalex.org/F4320329307","funder_display_name":"Science Fund of the Republic of Serbia"},{"id":"https://openalex.org/G7910183168","display_name":null,"funder_award_id":"UIDB/04721/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320329307","display_name":"Science Fund of the Republic of Serbia","ror":null},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4307166039.pdf","grobid_xml":"https://content.openalex.org/works/W4307166039.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W118497656","https://openalex.org/W329937547","https://openalex.org/W1580013167","https://openalex.org/W1969662777","https://openalex.org/W1986375199","https://openalex.org/W1994905114","https://openalex.org/W2021296382","https://openalex.org/W2029505887","https://openalex.org/W2042790346","https://openalex.org/W2071298123","https://openalex.org/W2071453418","https://openalex.org/W2081023948","https://openalex.org/W2083027166","https://openalex.org/W2296945468","https://openalex.org/W2310111693","https://openalex.org/W2776254242","https://openalex.org/W3041928421","https://openalex.org/W3045809024","https://openalex.org/W3206346773","https://openalex.org/W4285819451","https://openalex.org/W4293062021","https://openalex.org/W4389340280","https://openalex.org/W6611265387","https://openalex.org/W6671244086","https://openalex.org/W6698320702","https://openalex.org/W6787559896","https://openalex.org/W6832513388"],"related_works":["https://openalex.org/W123417539","https://openalex.org/W2079407403","https://openalex.org/W2060299328","https://openalex.org/W4375957393","https://openalex.org/W4233239985","https://openalex.org/W2117336295","https://openalex.org/W3102722572","https://openalex.org/W2090103374","https://openalex.org/W577870507","https://openalex.org/W2383421058"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"give":[4],"a":[5],"complete,":[6],"explicit":[7],"and":[8,31,40],"constructive":[9],"solution":[10],"to":[11],"the":[12],"double":[13,22],"generalized":[14,23],"majorization":[15,24],"problem.":[16],"Apart":[17],"from":[18],"purely":[19],"combinatorial":[20],"interest,":[21],"problem":[25],"has":[26,42],"strong":[27],"impact":[28],"in":[29,46],"Matrix":[30,32],"Pencils":[33],"Completion":[34],"Problems,":[35,39],"Bounded":[36],"Rank":[37],"Perturbation":[38],"it":[41],"additional":[43],"nice":[44],"interpretation":[45],"Representation":[47],"Theory":[48],"of":[49],"Kronecker":[50],"Quivers.":[51]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
