{"id":"https://openalex.org/W1821241631","doi":"https://doi.org/10.1007/978-3-642-03409-1_16","title":"Directed Graphs of Entanglement Two","display_name":"Directed Graphs of Entanglement Two","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1821241631","doi":"https://doi.org/10.1007/978-3-642-03409-1_16","mag":"1821241631"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03409-1_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03409-1_16","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/A5010064604","display_name":"Erich Gr\u00e4del","orcid":"https://orcid.org/0000-0002-8950-9991"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Erich Gr\u00e4del","raw_affiliation_strings":["Mathematische Grundlagen der Informatik, RWTH Aachen University, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematische Grundlagen der Informatik, RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031789995","display_name":"\u0141ukasz Kaiser","orcid":"https://orcid.org/0000-0003-1092-6010"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"\u0141ukasz Kaiser","raw_affiliation_strings":["Mathematische Grundlagen der Informatik, RWTH Aachen University, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematische Grundlagen der Informatik, RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073512540","display_name":"Roman Rabinovich","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Roman Rabinovich","raw_affiliation_strings":["Mathematische Grundlagen der Informatik, RWTH Aachen University, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematische Grundlagen der Informatik, RWTH Aachen University, Germany","institution_ids":["https://openalex.org/I887968799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9783,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78096023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"169","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.996399998664856,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.996399998664856,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9941999912261963,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11567","display_name":"semigroups and automata theory","score":0.9902999997138977,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.7726587057113647},{"id":"https://openalex.org/keywords/modular-decomposition","display_name":"Modular decomposition","score":0.6240899562835693},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.5217186808586121},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5120454430580139},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.5099579095840454},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4292139410972595},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4288502037525177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41952788829803467},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41402214765548706},{"id":"https://openalex.org/keywords/pathwidth","display_name":"Pathwidth","score":0.4077875018119812},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3936030864715576},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3530719578266144},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.13320183753967285},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10955020785331726},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10645213723182678},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07713189721107483},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.06460285186767578}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7726587057113647},{"id":"https://openalex.org/C187407849","wikidata":"https://www.wikidata.org/wiki/Q6889712","display_name":"Modular decomposition","level":5,"score":0.6240899562835693},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.5217186808586121},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5120454430580139},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.5099579095840454},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4292139410972595},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4288502037525177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41952788829803467},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41402214765548706},{"id":"https://openalex.org/C43517604","wikidata":"https://www.wikidata.org/wiki/Q7144893","display_name":"Pathwidth","level":4,"score":0.4077875018119812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3936030864715576},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3530719578266144},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.13320183753967285},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10955020785331726},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10645213723182678},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07713189721107483},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.06460285186767578},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-03409-1_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03409-1_16","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:CiteSeerX.psu:10.1.1.160.9127","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.160.9127","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://logic.rwth-aachen.de/~kaiser/entanglement2.pdf","raw_type":"text"},{"id":"pmh:oai:publications.rwth-aachen.de:119917","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/119917","pdf_url":null,"source":{"id":"https://openalex.org/S4306401362","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fundamentals of computation theory : 17th international symposium, FCT 2009, Wroc\u0142aw, Poland, September 2-4, 2009 ; proceedings / Miros\u0142aw Kuty\u0142owski; Witold Charatonik; Maciej Ge\u031cbala (eds.)<br/>17. international symposium, FCT 2009, Wroclaw, Poland, 2009-09-02 - 2009-09-04","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1487444734","https://openalex.org/W1567990440","https://openalex.org/W1591239571","https://openalex.org/W1606555018","https://openalex.org/W1821241631","https://openalex.org/W1982335876","https://openalex.org/W1986058515","https://openalex.org/W2054167510","https://openalex.org/W2067543765","https://openalex.org/W2107421510","https://openalex.org/W2132638915","https://openalex.org/W2154965599","https://openalex.org/W2163940503","https://openalex.org/W2283442510","https://openalex.org/W2494787995","https://openalex.org/W2502992539","https://openalex.org/W2949612215","https://openalex.org/W3101550233"],"related_works":["https://openalex.org/W2157783000","https://openalex.org/W2788975631","https://openalex.org/W2963009577","https://openalex.org/W2028363955","https://openalex.org/W4220852510","https://openalex.org/W4287117052","https://openalex.org/W4206705200","https://openalex.org/W2061237693","https://openalex.org/W1964113132","https://openalex.org/W4285762950"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
