{"id":"https://openalex.org/W2944830574","doi":"https://doi.org/10.1007/pl00009267","title":"Reductions Do Not Preserve Fast Convergence Rates in Average Time","display_name":"Reductions Do Not Preserve Fast Convergence Rates in Average Time","publication_year":1999,"publication_date":"1999-04-01","ids":{"openalex":"https://openalex.org/W2944830574","doi":"https://doi.org/10.1007/pl00009267","mag":"2944830574"},"language":"en","primary_location":{"id":"doi:10.1007/pl00009267","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00009267","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","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/A5003746883","display_name":"Jay Belanger","orcid":null},"institutions":[{"id":"https://openalex.org/I199639920","display_name":"Truman State University","ror":"https://ror.org/0396bvs97","country_code":"US","type":"education","lineage":["https://openalex.org/I199639920"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Belanger","raw_affiliation_strings":["Division of Mathematics and Computer Science,  Truman State University, Kirksville, MO 63501, USA.   belanger@mathax.truman.edu., , , , , , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematics and Computer Science,  Truman State University, Kirksville, MO 63501, USA.   belanger@mathax.truman.edu., , , , , , US","institution_ids":["https://openalex.org/I199639920"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112023986","display_name":"A. Pavan","orcid":"https://orcid.org/0000-0003-1665-5266"},"institutions":[{"id":"https://openalex.org/I115441956","display_name":"Buffalo State University","ror":"https://ror.org/05ms04m92","country_code":"US","type":"education","lineage":["https://openalex.org/I115441956"]},{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Pavan","raw_affiliation_strings":["Department of Computer Science, State University   of New York at Buffalo, Buffalo, NY 14260, USA. aduri@cs.buffalo.edu. , , , , , , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, State University   of New York at Buffalo, Buffalo, NY 14260, USA. aduri@cs.buffalo.edu. , , , , , , US","institution_ids":["https://openalex.org/I63190737","https://openalex.org/I115441956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069331676","display_name":"J. Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I169335092","display_name":"University of North Carolina at Greensboro","ror":"https://ror.org/04fnxsj42","country_code":"US","type":"education","lineage":["https://openalex.org/I169335092"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Wang","raw_affiliation_strings":["Department of Mathematical Sciences, University of North Carolina at Greensboro, Greensboro, NC 27402, USA. wang@uncg.edu., , , , , , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of North Carolina at Greensboro, Greensboro, NC 27402, USA. wang@uncg.edu., , , , , , US","institution_ids":["https://openalex.org/I169335092"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.9798,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.78933989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"23","issue":"4","first_page":"363","last_page":"373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9995999932289124,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8273724317550659},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6692966222763062},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6183052062988281},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.6051825881004333},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5390434265136719},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5387166142463684},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5356798768043518},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49306532740592957},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.48736244440078735},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4789503216743469},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4234324097633362},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.41219067573547363},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10466063022613525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07808205485343933},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06901812553405762}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8273724317550659},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6692966222763062},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6183052062988281},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.6051825881004333},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5390434265136719},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5387166142463684},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5356798768043518},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49306532740592957},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.48736244440078735},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4789503216743469},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4234324097633362},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.41219067573547363},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10466063022613525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07808205485343933},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06901812553405762},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/pl00009267","is_oa":false,"landing_page_url":"https://doi.org/10.1007/pl00009267","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1498812002","https://openalex.org/W1513275674","https://openalex.org/W1520196288","https://openalex.org/W1600697497","https://openalex.org/W1702487489","https://openalex.org/W1967070873","https://openalex.org/W1993375595","https://openalex.org/W2007202662","https://openalex.org/W2012473793","https://openalex.org/W2015810299","https://openalex.org/W2015908112","https://openalex.org/W2020164082","https://openalex.org/W2021320809","https://openalex.org/W2048783513","https://openalex.org/W2100008268","https://openalex.org/W2107993699","https://openalex.org/W2125495920","https://openalex.org/W2148043549","https://openalex.org/W2153417364","https://openalex.org/W2173249896","https://openalex.org/W2287501035","https://openalex.org/W2591986491"],"related_works":["https://openalex.org/W2365264209","https://openalex.org/W2509431957","https://openalex.org/W2026999166","https://openalex.org/W3020924181","https://openalex.org/W2885881666","https://openalex.org/W1992685502","https://openalex.org/W4211007821","https://openalex.org/W2802395037","https://openalex.org/W1996802783","https://openalex.org/W3207031006"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}