{"id":"https://openalex.org/W2115935649","doi":"https://doi.org/10.1051/ro:2007001","title":"Bounds of graph parameters for global constraints","display_name":"Bounds of graph parameters for global constraints","publication_year":2006,"publication_date":"2006-10-01","ids":{"openalex":"https://openalex.org/W2115935649","doi":"https://doi.org/10.1051/ro:2007001","mag":"2115935649"},"language":"en","primary_location":{"id":"doi:10.1051/ro:2007001","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro:2007001","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","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/A5111458189","display_name":"Nicolas Beldiceanu","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nicolas Beldiceanu","raw_affiliation_strings":["\u00c9cole des Mines de Nantes, LINA FRE CNRS 2729, 44307\u00a0Nantes, France; Nicolas.Beldiceanu@emn.fr; Thierry.Petit@emn.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole des Mines de Nantes, LINA FRE CNRS 2729, 44307\u00a0Nantes, France; Nicolas.Beldiceanu@emn.fr; Thierry.Petit@emn.fr","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056961294","display_name":"Thierry Petit","orcid":"https://orcid.org/0000-0001-5687-491X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thierry Petit","raw_affiliation_strings":["\u00c9cole des Mines de Nantes, LINA FRE CNRS 2729, 44307\u00a0Nantes, France; Nicolas.Beldiceanu@emn.fr; Thierry.Petit@emn.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole des Mines de Nantes, LINA FRE CNRS 2729, 44307\u00a0Nantes, France; Nicolas.Beldiceanu@emn.fr; Thierry.Petit@emn.fr","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027684702","display_name":"Guillaume Rochart","orcid":null},"institutions":[{"id":"https://openalex.org/I280199911","display_name":"Bouygues (France)","ror":"https://ror.org/056185y51","country_code":"FR","type":"company","lineage":["https://openalex.org/I280199911"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Guillaume Rochart","raw_affiliation_strings":["Bouygues e-lab, 78061\u00a0St Quentin en Yvelines, France; Grochart@bouygues.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bouygues e-lab, 78061\u00a0St Quentin en Yvelines, France; Grochart@bouygues.com","institution_ids":["https://openalex.org/I280199911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.18686117,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"40","issue":"4","first_page":"327","last_page":"353"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10757","display_name":"Geographic Information Systems Studies","score":0.9732000231742859,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6914271116256714},{"id":"https://openalex.org/keywords/graph-property","display_name":"Graph property","score":0.5157154202461243},{"id":"https://openalex.org/keywords/null-graph","display_name":"Null graph","score":0.5003516674041748},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.4883115291595459},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4656432867050171},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.45888999104499817},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.45540791749954224},{"id":"https://openalex.org/keywords/strength-of-a-graph","display_name":"Strength of a graph","score":0.44177788496017456},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4135143756866455},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36321932077407837},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.356778621673584},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3417178690433502},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.31027543544769287}],"concepts":[{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6914271116256714},{"id":"https://openalex.org/C64339825","wikidata":"https://www.wikidata.org/wiki/Q722659","display_name":"Graph property","level":5,"score":0.5157154202461243},{"id":"https://openalex.org/C17169500","wikidata":"https://www.wikidata.org/wiki/Q3033506","display_name":"Null graph","level":5,"score":0.5003516674041748},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.4883115291595459},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4656432867050171},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.45888999104499817},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.45540791749954224},{"id":"https://openalex.org/C19332903","wikidata":"https://www.wikidata.org/wiki/Q7623247","display_name":"Strength of a graph","level":5,"score":0.44177788496017456},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4135143756866455},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36321932077407837},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.356778621673584},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3417178690433502},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.31027543544769287},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro:2007001","is_oa":false,"landing_page_url":"https://doi.org/10.1051/ro:2007001","pdf_url":null,"source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2006__40_4_327_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro:2007001/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W41953994","https://openalex.org/W1480970362","https://openalex.org/W1652823179","https://openalex.org/W1960236202","https://openalex.org/W2020403120","https://openalex.org/W2022088719","https://openalex.org/W2067273780","https://openalex.org/W2107180790","https://openalex.org/W2109992583","https://openalex.org/W2112957923","https://openalex.org/W2119456262","https://openalex.org/W2131439452","https://openalex.org/W2155616412","https://openalex.org/W2569549435","https://openalex.org/W3152126650"],"related_works":["https://openalex.org/W2954009223","https://openalex.org/W2366079443","https://openalex.org/W2592554948","https://openalex.org/W2271729023","https://openalex.org/W153309283","https://openalex.org/W1980424184","https://openalex.org/W2793949464","https://openalex.org/W2157759636","https://openalex.org/W3100627703","https://openalex.org/W4226204372"],"abstract_inverted_index":{"This":[0,21],"article":[1,41],"presents":[2],"a":[3,9,37],"basic":[4],"scheme":[5,22],"for":[6,44],"deriving":[7],"systematically":[8],"filtering":[10],"algorithm":[11],"from":[12],"the":[13,26,29,34,45],"graph":[14,30,49],"properties":[15],"based":[16,24],"representation":[17],"of":[18,28,36],"global":[19,38],"constraints.":[20],"is":[23],"on":[25],"bounds":[27,43],"parameters":[31],"used":[32,48],"in":[33],"description":[35],"constraint.":[39],"The":[40],"provides":[42],"most":[46],"common":[47],"parameters.":[50]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}