{"id":"https://openalex.org/W1568862957","doi":"https://doi.org/10.1007/978-3-540-77105-0_30","title":"PageRank as a Weak Tournament Solution","display_name":"PageRank as a Weak Tournament Solution","publication_year":2007,"publication_date":"2007-12-03","ids":{"openalex":"https://openalex.org/W1568862957","doi":"https://doi.org/10.1007/978-3-540-77105-0_30","mag":"1568862957"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-77105-0_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77105-0_30","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/A5001200543","display_name":"Felix Brandt","orcid":"https://orcid.org/0000-0002-4179-9897"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Felix Brandt","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t M\u00fcnchen, 80538 M\u00fcnchen, Germany","[Institut f\u00fcr Informatik, Universit\u00e4t Munchen, Munchen, Germany]"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t M\u00fcnchen, 80538 M\u00fcnchen, Germany","institution_ids":[]},{"raw_affiliation_string":"[Institut f\u00fcr Informatik, Universit\u00e4t Munchen, Munchen, Germany]","institution_ids":["https://openalex.org/I8204097"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041652507","display_name":"Felix Fischer","orcid":"https://orcid.org/0000-0002-8403-9273"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Felix Fischer","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t M\u00fcnchen, 80538 M\u00fcnchen, Germany","[Institut f\u00fcr Informatik, Universit\u00e4t Munchen, Munchen, Germany]"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t M\u00fcnchen, 80538 M\u00fcnchen, Germany","institution_ids":[]},{"raw_affiliation_string":"[Institut f\u00fcr Informatik, Universit\u00e4t Munchen, Munchen, Germany]","institution_ids":["https://openalex.org/I8204097"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5001200543"],"corresponding_institution_ids":["https://openalex.org/I8204097"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.6532,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.94979589,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"300","last_page":"305"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10108","display_name":"Electoral Systems and Political Participation","score":0.9606000185012817,"subfield":{"id":"https://openalex.org/subfields/3320","display_name":"Political Science and International Relations"},"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/tournament","display_name":"Tournament","score":0.9867795705795288},{"id":"https://openalex.org/keywords/pagerank","display_name":"PageRank","score":0.887911319732666},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.725835382938385},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6616201996803284},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.608475923538208},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5620833039283752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5333307385444641},{"id":"https://openalex.org/keywords/tournament-selection","display_name":"Tournament selection","score":0.49127382040023804},{"id":"https://openalex.org/keywords/information-retrieval","display_name":"Information retrieval","score":0.43867412209510803},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3811291456222534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3486005365848541},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23413532972335815},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23368602991104126},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1840108335018158},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.09640830755233765}],"concepts":[{"id":"https://openalex.org/C136975688","wikidata":"https://www.wikidata.org/wiki/Q1320634","display_name":"Tournament","level":2,"score":0.9867795705795288},{"id":"https://openalex.org/C2779172887","wikidata":"https://www.wikidata.org/wiki/Q184316","display_name":"PageRank","level":2,"score":0.887911319732666},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.725835382938385},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6616201996803284},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.608475923538208},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5620833039283752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5333307385444641},{"id":"https://openalex.org/C165661538","wikidata":"https://www.wikidata.org/wiki/Q7829327","display_name":"Tournament selection","level":3,"score":0.49127382040023804},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.43867412209510803},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3811291456222534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3486005365848541},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23413532972335815},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23368602991104126},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1840108335018158},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.09640830755233765},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-540-77105-0_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77105-0_30","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:10.1.1.169.1143","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.169.1143","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tcs.informatik.uni-muenchen.de/%7Efischerf/publications/bf_wine07.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.84.2339","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.84.2339","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tcs.ifi.lmu.de/~brandtf/papers/pagerank.pdf","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":20,"referenced_works":["https://openalex.org/W70412040","https://openalex.org/W106306009","https://openalex.org/W195750820","https://openalex.org/W1484675474","https://openalex.org/W1495524224","https://openalex.org/W1854214752","https://openalex.org/W1981535145","https://openalex.org/W1991733990","https://openalex.org/W2012354607","https://openalex.org/W2019472348","https://openalex.org/W2032808751","https://openalex.org/W2052177397","https://openalex.org/W2074016826","https://openalex.org/W2075379212","https://openalex.org/W2109645175","https://openalex.org/W2121974408","https://openalex.org/W2273920699","https://openalex.org/W2913028927","https://openalex.org/W3013264884","https://openalex.org/W3125814070"],"related_works":["https://openalex.org/W2909372716","https://openalex.org/W3029891807","https://openalex.org/W1572785861","https://openalex.org/W2162041927","https://openalex.org/W4352981148","https://openalex.org/W1571917368","https://openalex.org/W140783093","https://openalex.org/W2136437817","https://openalex.org/W2080638133","https://openalex.org/W4307934015"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}