{"id":"https://openalex.org/W2033597899","doi":"https://doi.org/10.1007/s10107-004-0520-0","title":"A linear algorithm for integer programming in the plane","display_name":"A linear algorithm for integer programming in the plane","publication_year":2004,"publication_date":"2004-07-07","ids":{"openalex":"https://openalex.org/W2033597899","doi":"https://doi.org/10.1007/s10107-004-0520-0","mag":"2033597899"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-004-0520-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-004-0520-0","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/121635","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000598657","display_name":"Friedrich Eisenbrand","orcid":"https://orcid.org/0000-0001-7928-1076"},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"F. Eisenbrand","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Stuhlsatzenhausweg 85, 66123, Saarbr\u00fccken, Germany","Max-Planck-Institut fur Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrucken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Stuhlsatzenhausweg 85, 66123, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Max-Planck-Institut fur Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrucken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040752838","display_name":"S\ufffdren Laue","orcid":null},"institutions":[{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"S\ufffdren Laue","raw_affiliation_strings":["Max-Planck-Institut f\u00fcr Informatik, Stuhlsatzenhausweg 85, 66123, Saarbr\u00fccken, Germany","Max-Planck-Institut fur Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrucken, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik, Stuhlsatzenhausweg 85, 66123, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"Max-Planck-Institut fur Informatik, Stuhlsatzenhausweg 85, 66123 Saarbrucken, Germany","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000598657"],"corresponding_institution_ids":["https://openalex.org/I4210109712"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":1.0305,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.76874496,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"102","issue":"2","first_page":"249","last_page":"259"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","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/T10720","display_name":"Complexity and Algorithms in Graphs","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":0.9986000061035156,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.827437162399292},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.7565146088600159},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7042173147201538},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.6518778800964355},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5339347720146179},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5295097827911377},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.5184085369110107},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4648548364639282},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42124468088150024},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4166807532310486},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4139004647731781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08937534689903259},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08698540925979614},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08207303285598755}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.827437162399292},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.7565146088600159},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7042173147201538},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.6518778800964355},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5339347720146179},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5295097827911377},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.5184085369110107},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4648548364639282},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42124468088150024},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4166807532310486},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4139004647731781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08937534689903259},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08698540925979614},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08207303285598755},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10107-004-0520-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-004-0520-0","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.93.7841","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.93.7841","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www2.math.uni-paderborn.de/fileadmin/Mathematik/AG-Eisenbrand/publications/fast2ip_mp.pdf","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:520587","is_oa":false,"landing_page_url":"http://edoc.mpg.de/520587","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming, v.102, 249-259 (2005)","raw_type":"Article"},{"id":"pmh:oai:infoscience.epfl.ch:121635","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/121635","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:pure.mpg.de:item_1329162","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-000F-2850-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematical Programming / A","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:121635","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/121635","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1480142641","https://openalex.org/W1655990431","https://openalex.org/W1853040583","https://openalex.org/W1963547452","https://openalex.org/W1987752344","https://openalex.org/W1993058867","https://openalex.org/W2025525128","https://openalex.org/W2029377897","https://openalex.org/W2050468587","https://openalex.org/W2061031797","https://openalex.org/W2063284252","https://openalex.org/W2065534115","https://openalex.org/W2068570878","https://openalex.org/W2077242588","https://openalex.org/W2112960677","https://openalex.org/W2114616381","https://openalex.org/W2117232375","https://openalex.org/W2125658617","https://openalex.org/W2144476482","https://openalex.org/W2334989808","https://openalex.org/W2752853835","https://openalex.org/W3038928148","https://openalex.org/W4235381922","https://openalex.org/W4246973793","https://openalex.org/W6633749307","https://openalex.org/W6720601302"],"related_works":["https://openalex.org/W3006617646","https://openalex.org/W2046300504","https://openalex.org/W2158503982","https://openalex.org/W4223947110","https://openalex.org/W2263874601","https://openalex.org/W2110818895","https://openalex.org/W4230854124","https://openalex.org/W4210880521","https://openalex.org/W2941986668","https://openalex.org/W3116484972"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}