{"id":"https://openalex.org/W3170511249","doi":"https://doi.org/10.1109/focs52979.2021.00011","title":"Integer programs with bounded subdeterminants and two nonzeros per row","display_name":"Integer programs with bounded subdeterminants and two nonzeros per row","publication_year":2022,"publication_date":"2022-02-01","ids":{"openalex":"https://openalex.org/W3170511249","doi":"https://doi.org/10.1109/focs52979.2021.00011","mag":"3170511249"},"language":"en","primary_location":{"id":"doi:10.1109/focs52979.2021.00011","is_oa":false,"landing_page_url":"https://doi.org/10.1109/focs52979.2021.00011","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/335992","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001781037","display_name":"Samuel Fiorini","orcid":"https://orcid.org/0000-0002-6845-9008"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Samuel Fiorini","raw_affiliation_strings":["Universit&#x00E9; libre de Bruxelles,Brussels,Belgium"],"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; libre de Bruxelles,Brussels,Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038947183","display_name":"Gwena\u00ebl Joret","orcid":"https://orcid.org/0000-0002-7157-6694"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Gwenael Joret","raw_affiliation_strings":["Universit&#x00E9; libre de Bruxelles,Brussels,Belgium"],"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; libre de Bruxelles,Brussels,Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023809656","display_name":"Stefan Weltge","orcid":"https://orcid.org/0000-0002-0102-8326"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Weltge","raw_affiliation_strings":["Technical University of Munich,Munich,Germany","Technical University of Munich, Munich, Germany"],"affiliations":[{"raw_affiliation_string":"Technical University of Munich,Munich,Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073143034","display_name":"Yelena Yuditsky","orcid":"https://orcid.org/0000-0002-6467-3437"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Yelena Yuditsky","raw_affiliation_strings":["Universit&#x00E9; libre de Bruxelles,Brussels,Belgium"],"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; libre de Bruxelles,Brussels,Belgium","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5001781037"],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":null,"apc_paid":null,"fwci":1.659,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85143543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"13","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9952999949455261,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9952999949455261,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.987500011920929,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/bounded-function","display_name":"Bounded function","score":0.7373628616333008},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.649600088596344},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5858653783798218},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5631384253501892},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5617952346801758},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.4896755516529083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48270654678344727},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4756469428539276},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.47237899899482727},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.448546826839447},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4351721405982971},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2873360514640808},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2567675709724426},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10183113813400269},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.08730685710906982}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7373628616333008},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.649600088596344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5858653783798218},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5631384253501892},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5617952346801758},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.4896755516529083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48270654678344727},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4756469428539276},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.47237899899482727},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.448546826839447},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4351721405982971},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2873360514640808},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2567675709724426},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10183113813400269},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.08730685710906982},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/focs52979.2021.00011","is_oa":false,"landing_page_url":"https://doi.org/10.1109/focs52979.2021.00011","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)","raw_type":"proceedings-article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/335992","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/335992","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annual Symposium on Foundations of Computer Science","raw_type":"info:ulb-repo/semantics/openurl/article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/392623","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/392623","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of the Association for Computing Machinery, 72 (1","raw_type":"info:ulb-repo/semantics/openurl/article"}],"best_oa_location":{"id":"pmh:oai:dipot.ulb.ac.be:2013/335992","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/335992","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Annual Symposium on Foundations of Computer Science","raw_type":"info:ulb-repo/semantics/openurl/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2054523510","display_name":null,"funder_award_id":"451026932","funder_id":"https://openalex.org/F4320321390","funder_display_name":"Fonds De La Recherche Scientifique - FNRS"}],"funders":[{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W594463866","https://openalex.org/W1493082098","https://openalex.org/W1514063965","https://openalex.org/W1779426617","https://openalex.org/W1863258068","https://openalex.org/W1963547452","https://openalex.org/W1966397930","https://openalex.org/W1970496268","https://openalex.org/W1987985110","https://openalex.org/W1990883342","https://openalex.org/W2005598280","https://openalex.org/W2011039300","https://openalex.org/W2013415302","https://openalex.org/W2020331258","https://openalex.org/W2026129593","https://openalex.org/W2035409201","https://openalex.org/W2046999257","https://openalex.org/W2050352628","https://openalex.org/W2051655695","https://openalex.org/W2075339720","https://openalex.org/W2093128520","https://openalex.org/W2103658959","https://openalex.org/W2103985627","https://openalex.org/W2114616381","https://openalex.org/W2132677029","https://openalex.org/W2146622645","https://openalex.org/W2186963690","https://openalex.org/W2521165220","https://openalex.org/W2623907872","https://openalex.org/W2626905092","https://openalex.org/W2912381149","https://openalex.org/W2963606510","https://openalex.org/W2985292442","https://openalex.org/W2988480584","https://openalex.org/W2998522986","https://openalex.org/W3094151912","https://openalex.org/W3095252247","https://openalex.org/W3104163530","https://openalex.org/W3113912925","https://openalex.org/W3117221493","https://openalex.org/W3155752882","https://openalex.org/W3183401434","https://openalex.org/W3189732323","https://openalex.org/W4213255380","https://openalex.org/W4244004536","https://openalex.org/W4246970570","https://openalex.org/W6629431769","https://openalex.org/W6740304409","https://openalex.org/W6747867590","https://openalex.org/W6759020451"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2072510267","https://openalex.org/W1925942709","https://openalex.org/W2047683846","https://openalex.org/W2044902158","https://openalex.org/W2082154838","https://openalex.org/W2109912052","https://openalex.org/W1711527768"],"abstract_inverted_index":{"We":[0,88],"give":[1],"a":[2,20,114],"strongly":[3,111],"polynomial-time":[4,41,71],"algorithm":[5,42],"for":[6,43,76,83],"integer":[7,12,91],"linear":[8,92],"programs":[9,93],"defined":[10,94],"by":[11,19,95],"coefficient":[13,96],"matrices":[14,97],"whose":[15],"subdeterminants":[16,100],"are":[17],"bounded":[18,99],"constant":[21],"and":[22,82,101],"that":[23,51,90],"contain":[24,54],"at":[25],"most":[26],"two":[27,102],"nonzero":[28],"entries":[29],"in":[30,110],"each":[31],"row.":[32],"The":[33],"core":[34],"of":[35],"our":[36],"approach":[37],"is":[38,67],"the":[39,44],"first":[40],"weighted":[45],"stable":[46],"set":[47],"problem":[48],"on":[49],"graphs":[50],"do":[52],"not":[53],"more":[55],"than":[56],"<tex":[57,64,77,84],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[58,65,78,85],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$k$</tex>":[59,66],"vertex-disjoint":[60],"odd":[61],"cycles,":[62],"where":[63],"any":[68],"constant.":[69],"Previously,":[70],"algorithms":[72],"were":[73],"only":[74],"known":[75],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$k=0$</tex>":[79],"(bipartite":[80],"graphs)":[81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$k=1$</tex>":[86],".":[87],"observe":[89],"with":[98],"nonzeros":[103],"per":[104],"column":[105],"can":[106],"be":[107],"also":[108],"solved":[109],"polynomial-time,":[112],"using":[113],"reduction":[115],"to":[116],"b-matching.":[117]},"counts_by_year":[{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}