{"id":"https://openalex.org/W2046229191","doi":"https://doi.org/10.1145/1629255.1629270","title":"Treedecomposition of geometric constraint graphs based on computing graph circuits","display_name":"Treedecomposition of geometric constraint graphs based on computing graph circuits","publication_year":2009,"publication_date":"2009-10-05","ids":{"openalex":"https://openalex.org/W2046229191","doi":"https://doi.org/10.1145/1629255.1629270","mag":"2046229191"},"language":"en","primary_location":{"id":"doi:10.1145/1629255.1629270","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1629255.1629270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2117/7779","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000732422","display_name":"Robert Joan\u2010Arinyo","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Robert Joan-Arinyo","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya, Barcelona, Catalonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya, Barcelona, Catalonia","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055451459","display_name":"Marta I. Tarr\u00e9s-Puertas","orcid":"https://orcid.org/0000-0002-4473-6947"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Marta Tarr\u00e9s-Puertas","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya, Barcelona, Catalonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya, Barcelona, Catalonia","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079973590","display_name":"Sebasti\u00e0 Vila Marta","orcid":"https://orcid.org/0000-0001-9069-1340"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Sebasti\u00e0 Vila-Marta","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya, Barcelona, Catalonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya, Barcelona, Catalonia","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5000732422"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":0.9477,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.76712598,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"113","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9977999925613403,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9937999844551086,"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/constraint-graph","display_name":"Constraint graph","score":0.5031697154045105},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5001823902130127},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47004833817481995},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.46277034282684326},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4490724503993988},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41117531061172485},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36243003606796265},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3566519021987915},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3553732633590698},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.34392249584198},{"id":"https://openalex.org/keywords/constraint-logic-programming","display_name":"Constraint logic programming","score":0.24394869804382324}],"concepts":[{"id":"https://openalex.org/C178481205","wikidata":"https://www.wikidata.org/wiki/Q5164372","display_name":"Constraint graph","level":5,"score":0.5031697154045105},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5001823902130127},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47004833817481995},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.46277034282684326},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4490724503993988},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41117531061172485},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36243003606796265},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3566519021987915},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3553732633590698},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.34392249584198},{"id":"https://openalex.org/C176783269","wikidata":"https://www.wikidata.org/wiki/Q5164378","display_name":"Constraint logic programming","level":4,"score":0.24394869804382324},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1629255.1629270","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1629255.1629270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling","raw_type":"proceedings-article"},{"id":"pmh:oai:upcommons.upc.edu:2117/7779","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/7779","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference report"}],"best_oa_location":{"id":"pmh:oai:upcommons.upc.edu:2117/7779","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/7779","pdf_url":null,"source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W125509687","https://openalex.org/W193938304","https://openalex.org/W1487374707","https://openalex.org/W1526095213","https://openalex.org/W1557499844","https://openalex.org/W1576579606","https://openalex.org/W1967816223","https://openalex.org/W1968546622","https://openalex.org/W1994637765","https://openalex.org/W2002055996","https://openalex.org/W2015300985","https://openalex.org/W2047528968","https://openalex.org/W2060597653","https://openalex.org/W2082147683","https://openalex.org/W2099481161","https://openalex.org/W2109485737","https://openalex.org/W2121633746","https://openalex.org/W2152273360","https://openalex.org/W2340365916","https://openalex.org/W2443315899","https://openalex.org/W2476899828","https://openalex.org/W2611219145","https://openalex.org/W2724263038","https://openalex.org/W4214494916","https://openalex.org/W6703962106","https://openalex.org/W6980942626"],"related_works":["https://openalex.org/W2360238382","https://openalex.org/W2044707813","https://openalex.org/W3189630375","https://openalex.org/W2042246031","https://openalex.org/W3092523542","https://openalex.org/W2625935233","https://openalex.org/W2331847884","https://openalex.org/W2000197160","https://openalex.org/W2049421765","https://openalex.org/W4313469555"],"abstract_inverted_index":{"The":[0,82],"graph-based":[1],"geometric":[2,12,25,79],"constraint":[3,35,80],"solving":[4],"technique":[5],"works":[6],"in":[7,92],"two":[8],"steps.":[9],"First":[10],"the":[11,22,31,34,41,93,97,110,117,122],"problem":[13,36,52],"is":[14,37,54],"translated":[15],"into":[16,43,99],"a":[17,44,50,57,87,100],"graph":[18,42,94,98],"whose":[19,28],"vertices":[20,108],"represent":[21],"set":[23,88,101],"of":[24,46,89,102],"elements":[26],"and":[27],"edges":[29],"are":[30],"constraints.":[32],"Then":[33],"solved":[38,55],"by":[39,56,129],"decomposing":[40],"collection":[45],"subgraphs":[47,103,128],"each":[48,104],"representing":[49,74],"standard":[51],"which":[53],"dedicated":[58],"equational":[59],"solver.":[60],"In":[61],"this":[62],"work":[63],"we":[64],"report":[65],"on":[66,126],"an":[67],"algorithm":[68,83,119],"to":[69],"decompose":[70],"biconnected":[71],"tree-decomposable":[72],"graphs":[73],"either":[75],"underor":[76],"wellconstrained":[77],"2D":[78],"problems.":[81],"recursively":[84],"first":[85],"computes":[86],"fundamental":[90,111],"circuits":[91],"then":[95],"splits":[96],"sharing":[105],"exactly":[106],"three":[107],"with":[109],"circuit.":[112],"Practical":[113],"experiments":[114],"show":[115],"that":[116],"reported":[118],"clearly":[120],"outperforms":[121],"treedecomposition":[123],"approach":[124],"based":[125],"identifying":[127],"applying":[130],"specific":[131],"decomposition":[132],"rules.":[133]},"counts_by_year":[{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2016-06-24T00:00:00"}
