{"id":"https://openalex.org/W1970573563","doi":"https://doi.org/10.1007/s10479-012-1199-x","title":"Strong polynomiality of the Gass-Saaty shadow-vertex pivoting rule for controlled random walks","display_name":"Strong polynomiality of the Gass-Saaty shadow-vertex pivoting rule for controlled random walks","publication_year":2012,"publication_date":"2012-07-31","ids":{"openalex":"https://openalex.org/W1970573563","doi":"https://doi.org/10.1007/s10479-012-1199-x","mag":"1970573563"},"language":"en","primary_location":{"id":"doi:10.1007/s10479-012-1199-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-012-1199-x","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of 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/A5064059676","display_name":"Guy Even","orcid":"https://orcid.org/0000-0001-5407-330X"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Guy Even","raw_affiliation_strings":["School of Electrical Engineering, Tel-Aviv Univ., Tel-Aviv, 69978, Israel","Tel-Aviv  University"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel-Aviv Univ., Tel-Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel-Aviv  University","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090890409","display_name":"Alexander Zadorojniy","orcid":"https://orcid.org/0000-0002-8121-5913"},"institutions":[{"id":"https://openalex.org/I4210167297","display_name":"IBM Research - Haifa","ror":"https://ror.org/05rw9t746","country_code":"IL","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210167297"]},{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]},{"id":"https://openalex.org/I4210120800","display_name":"Carmel (Israel)","ror":"https://ror.org/02wvcn790","country_code":"IL","type":"company","lineage":["https://openalex.org/I4210120800"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"Alexander Zadorojniy","raw_affiliation_strings":["IBM Research, Mount Carmel, Haifa, 31905, Israel","IBM Research, -"],"affiliations":[{"raw_affiliation_string":"IBM Research, Mount Carmel, Haifa, 31905, Israel","institution_ids":["https://openalex.org/I4210167297","https://openalex.org/I4210120800"]},{"raw_affiliation_string":"IBM Research, -","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064059676"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3755,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61574422,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"201","issue":"1","first_page":"159","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9998999834060669,"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/T12288","display_name":"Optimization and Search Problems","score":0.9998999834060669,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9991999864578247,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9987999796867371,"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/vertex","display_name":"Vertex (graph theory)","score":0.7142390608787537},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.6728722453117371},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5254492163658142},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5183647274971008},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.515707790851593},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5073315501213074},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.5065053701400757},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5028955340385437},{"id":"https://openalex.org/keywords/shadow","display_name":"Shadow (psychology)","score":0.47050946950912476},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.43316757678985596},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.41860800981521606},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4152785837650299},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.37749698758125305},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3430842161178589},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33019694685935974},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.24779093265533447},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15470868349075317},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1150214672088623}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7142390608787537},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.6728722453117371},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5254492163658142},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5183647274971008},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.515707790851593},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5073315501213074},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5065053701400757},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5028955340385437},{"id":"https://openalex.org/C117797892","wikidata":"https://www.wikidata.org/wiki/Q286363","display_name":"Shadow (psychology)","level":2,"score":0.47050946950912476},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.43316757678985596},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.41860800981521606},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4152785837650299},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.37749698758125305},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3430842161178589},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33019694685935974},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.24779093265533447},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15470868349075317},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1150214672088623},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10479-012-1199-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10479-012-1199-x","pdf_url":null,"source":{"id":"https://openalex.org/S57667410","display_name":"Annals of Operations Research","issn_l":"0254-5330","issn":["0254-5330","1572-9338"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:annopr:v:201:y:2012:i:1:p:159-167:10.1007/s10479-012-1199-x","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10479-012-1199-x","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W5657644","https://openalex.org/W16136492","https://openalex.org/W71992527","https://openalex.org/W199485464","https://openalex.org/W287611495","https://openalex.org/W565357261","https://openalex.org/W1963547452","https://openalex.org/W1964535365","https://openalex.org/W1964680067","https://openalex.org/W1984901446","https://openalex.org/W1986414193","https://openalex.org/W1993058867","https://openalex.org/W2025030740","https://openalex.org/W2030435702","https://openalex.org/W2034053794","https://openalex.org/W2049947556","https://openalex.org/W2052666350","https://openalex.org/W2061637728","https://openalex.org/W2072101645","https://openalex.org/W2082815106","https://openalex.org/W2088859845","https://openalex.org/W2095007759","https://openalex.org/W2103985627","https://openalex.org/W2119567691","https://openalex.org/W2134293360","https://openalex.org/W2135086275","https://openalex.org/W2146835059","https://openalex.org/W2150154671","https://openalex.org/W2159205115","https://openalex.org/W2167471538","https://openalex.org/W2183676805","https://openalex.org/W2334782222","https://openalex.org/W4213255380","https://openalex.org/W6616092997","https://openalex.org/W6996888795","https://openalex.org/W7081436528"],"related_works":["https://openalex.org/W2185826091","https://openalex.org/W2048470382","https://openalex.org/W2477407501","https://openalex.org/W2384679317","https://openalex.org/W2911215968","https://openalex.org/W1570109187","https://openalex.org/W1583787753","https://openalex.org/W2491692165","https://openalex.org/W2366013513","https://openalex.org/W4244786412"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}