{"id":"https://openalex.org/W2080504759","doi":"https://doi.org/10.1007/s10107-005-0650-z","title":"Polyhedra related to integer-convex polynomial systems","display_name":"Polyhedra related to integer-convex polynomial systems","publication_year":2005,"publication_date":"2005-10-12","ids":{"openalex":"https://openalex.org/W2080504759","doi":"https://doi.org/10.1007/s10107-005-0650-z","mag":"2080504759"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-005-0650-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-005-0650-z","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084166637","display_name":"Dennis Michaels","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dennis Michaels","raw_affiliation_strings":["Institute for Mathematical Optimization, Otto-von-Guericke-Universit\u00e4t Magdeburg, Germany","Otto-von-Guericke-Universit\u00e4t Magdeburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Optimization, Otto-von-Guericke-Universit\u00e4t Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Otto-von-Guericke-Universit\u00e4t Magdeburg","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029637448","display_name":"Robert Weismantel","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke-Universit\u00e4t Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Robert Weismantel","raw_affiliation_strings":["Institute for Mathematical Optimization, Otto-von-Guericke-Universit\u00e4t Magdeburg, Germany","Otto-von-Guericke-Universit\u00e4t Magdeburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Mathematical Optimization, Otto-von-Guericke-Universit\u00e4t Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]},{"raw_affiliation_string":"Otto-von-Guericke-Universit\u00e4t Magdeburg","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029637448"],"corresponding_institution_ids":["https://openalex.org/I95793202"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.15740453,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"105","issue":"2-3","first_page":"215","last_page":"232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998000264167786,"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/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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/integer-points-in-convex-polyhedra","display_name":"Integer points in convex polyhedra","score":0.929777204990387},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.8842288255691528},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7655172348022461},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6655343174934387},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6494085788726807},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5345662236213684},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5245357155799866},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4755377769470215},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.458236962556839},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.4101922810077667},{"id":"https://openalex.org/keywords/branch-and-price","display_name":"Branch and price","score":0.17130500078201294},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.14352861046791077},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09755861759185791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07140296697616577},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.054714739322662354}],"concepts":[{"id":"https://openalex.org/C147700949","wikidata":"https://www.wikidata.org/wiki/Q6042594","display_name":"Integer points in convex polyhedra","level":4,"score":0.929777204990387},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.8842288255691528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7655172348022461},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6655343174934387},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6494085788726807},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5345662236213684},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5245357155799866},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4755377769470215},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.458236962556839},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.4101922810077667},{"id":"https://openalex.org/C123558587","wikidata":"https://www.wikidata.org/wiki/Q4956382","display_name":"Branch and price","level":3,"score":0.17130500078201294},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14352861046791077},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09755861759185791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07140296697616577},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.054714739322662354},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10107-005-0650-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-005-0650-z","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W99708544","https://openalex.org/W1492302275","https://openalex.org/W1553702074","https://openalex.org/W1607580485","https://openalex.org/W1698110770","https://openalex.org/W1806104592","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1970193303","https://openalex.org/W2008389133","https://openalex.org/W2025896865","https://openalex.org/W2048881327","https://openalex.org/W2049143039","https://openalex.org/W2076535438","https://openalex.org/W2077397558","https://openalex.org/W2106264302","https://openalex.org/W2110316735","https://openalex.org/W2133602590","https://openalex.org/W2171238021","https://openalex.org/W3144358832","https://openalex.org/W4253214256","https://openalex.org/W4254742099"],"related_works":["https://openalex.org/W2065803772","https://openalex.org/W2228244008","https://openalex.org/W1711527768","https://openalex.org/W1925942709","https://openalex.org/W2301583490","https://openalex.org/W2738111169","https://openalex.org/W2797788337","https://openalex.org/W2044902158","https://openalex.org/W1511346678","https://openalex.org/W2295451436"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}