{"id":"https://openalex.org/W2152376083","doi":"https://doi.org/10.1007/978-3-540-77120-3_13","title":"On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices","display_name":"On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices","publication_year":2007,"publication_date":"2007-12-06","ids":{"openalex":"https://openalex.org/W2152376083","doi":"https://doi.org/10.1007/978-3-540-77120-3_13","mag":"2152376083"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-77120-3_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77120-3_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5009032931","display_name":"Uffe Flarup","orcid":null},"institutions":[{"id":"https://openalex.org/I177969490","display_name":"University of Southern Denmark","ror":"https://ror.org/03yrrjy16","country_code":"DK","type":"education","lineage":["https://openalex.org/I177969490"]},{"id":"https://openalex.org/I2801484278","display_name":"Odense Municipality","ror":"https://ror.org/025csd220","country_code":"DK","type":"government","lineage":["https://openalex.org/I2801484278"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Uffe Flarup","raw_affiliation_strings":["Department of Mathematics and Computer Science, Syddansk Universitet, Campusvej 55, 5230 Odense M, Denmark","IMADA - Department of Mathematics and Computer Science [Odense] (Campusvej 55 DK-5230 Odense M - Denmark)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Syddansk Universitet, Campusvej 55, 5230 Odense M, Denmark","institution_ids":["https://openalex.org/I177969490"]},{"raw_affiliation_string":"IMADA - Department of Mathematics and Computer Science [Odense] (Campusvej 55 DK-5230 Odense M - Denmark)","institution_ids":["https://openalex.org/I2801484278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105512963","display_name":"Pascal Koiran","orcid":"https://orcid.org/0000-0003-3405-7155"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pascal Koiran","raw_affiliation_strings":["Laboratoire de l\u2019Informatique du Parall\u00e9lisme, Ecole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d\u2019Italie, 69364 Lyon Cedex 07, France","LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de l\u2019Informatique du Parall\u00e9lisme, Ecole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d\u2019Italie, 69364 Lyon Cedex 07, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]},{"raw_affiliation_string":"LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]},{"raw_affiliation_string":"MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)","institution_ids":["https://openalex.org/I113428412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074561405","display_name":"Laurent Lyaudet","orcid":null},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Lyaudet","raw_affiliation_strings":["Laboratoire de l\u2019Informatique du Parall\u00e9lisme, Ecole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d\u2019Italie, 69364 Lyon Cedex 07, France","LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de l\u2019Informatique du Parall\u00e9lisme, Ecole Normale Sup\u00e9rieure de Lyon, 46, all\u00e9e d\u2019Italie, 69364 Lyon Cedex 07, France","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]},{"raw_affiliation_string":"LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]},{"raw_affiliation_string":"MC2 - Mod\u00e8les de calcul, Complexit\u00e9, Combinatoire (ENS Lyon 46 all\u00e9e d'Italie 69364 Lyon Cedex 07 - France)","institution_ids":["https://openalex.org/I113428412"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.0434,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.87724611,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"124","last_page":"136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9991999864578247,"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/T11476","display_name":"Graph theory and applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/treewidth","display_name":"Treewidth","score":0.7346948385238647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7121483087539673},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5505304336547852},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5477119088172913},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5436957478523254},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.5142695307731628},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.49130764603614807},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.4711636006832123},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4633503556251526},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.46262621879577637},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32965636253356934},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.28977468609809875},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2592078745365143},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.1496201455593109},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13752487301826477},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.12431740760803223}],"concepts":[{"id":"https://openalex.org/C132569581","wikidata":"https://www.wikidata.org/wiki/Q5067368","display_name":"Treewidth","level":5,"score":0.7346948385238647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7121483087539673},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5505304336547852},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5477119088172913},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5436957478523254},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.5142695307731628},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.49130764603614807},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.4711636006832123},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4633503556251526},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.46262621879577637},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32965636253356934},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.28977468609809875},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2592078745365143},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.1496201455593109},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13752487301826477},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.12431740760803223},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"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/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/978-3-540-77120-3_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77120-3_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:sdu.dk:publications/e04db750-e074-11dc-a57f-000ea68e967b","is_oa":false,"landing_page_url":"https://portal.findresearcher.sdu.dk/da/publications/e04db750-e074-11dc-a57f-000ea68e967b","pdf_url":null,"source":{"id":"https://openalex.org/S4306400423","display_name":"University of Southern Denmark Research Portal (University of Southern Denmark)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177969490","host_organization_name":"University of Southern Denmark","host_organization_lineage":["https://openalex.org/I177969490"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Flarup, U, Koiran, P & Lyaudet, L 2007, On the expressive power of planar perfect matching and permanents of bounded treewidth matrices. in Lecture Notes in Computer Science. vol. 4835, pp. 124-136, International Symposium on Algorithms and Computation, Sendai, Japan, 17/12/2007.","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.136.3787","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.136.3787","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.imada.sdu.dk/~flarup/FKL-formulas.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.246.1112","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.246.1112","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0705.3751v1.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:ensl-00149062v1","is_oa":false,"landing_page_url":"https://ens-lyon.hal.science/ensl-00149062","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2007","raw_type":"Preprints, Working Papers, ..."},{"id":"pmh:oai:HAL:hal-04655382v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04655382","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISAAC 2007, Dec 2007, Sendai, Japan. pp.124-136, &#x27E8;10.1007/978-3-540-77120-3_13&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W194395729","https://openalex.org/W992210956","https://openalex.org/W1493914388","https://openalex.org/W1541012495","https://openalex.org/W1546876109","https://openalex.org/W1562839035","https://openalex.org/W1576854535","https://openalex.org/W1826226336","https://openalex.org/W1836127928","https://openalex.org/W1878491781","https://openalex.org/W1985376214","https://openalex.org/W2006912660","https://openalex.org/W2088698934","https://openalex.org/W2096891389","https://openalex.org/W2109716789","https://openalex.org/W2170831059","https://openalex.org/W2294003223","https://openalex.org/W2561675875","https://openalex.org/W2800024591"],"related_works":["https://openalex.org/W4301463689","https://openalex.org/W2605313623","https://openalex.org/W2952055179","https://openalex.org/W4302786124","https://openalex.org/W3198523758","https://openalex.org/W2133160845","https://openalex.org/W4287180630","https://openalex.org/W2183582012","https://openalex.org/W1541834747","https://openalex.org/W2761007407"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
