{"id":"https://openalex.org/W2147012241","doi":"https://doi.org/10.1016/s0304-3975(01)00154-2","title":"Rigorous results for random (2+p)-SAT","display_name":"Rigorous results for random (2+p)-SAT","publication_year":2001,"publication_date":"2001-08-01","ids":{"openalex":"https://openalex.org/W2147012241","doi":"https://doi.org/10.1016/s0304-3975(01)00154-2","mag":"2147012241"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(01)00154-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(01)00154-2","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ir.library.carleton.ca/pub/1684","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021300666","display_name":"Dimitris Achlioptas","orcid":"https://orcid.org/0000-0003-2349-822X"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dimitris Achlioptas","raw_affiliation_strings":["Microsoft Research, One Microsoft Way, Redmond WA 98052, USA","Microsoft Research, Redmond, WA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research, One Microsoft Way, Redmond WA 98052, USA","institution_ids":["https://openalex.org/I1290206253"]},{"raw_affiliation_string":"Microsoft Research, Redmond, WA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024610751","display_name":"Lefteris M. Kirousis","orcid":"https://orcid.org/0000-0002-4912-8959"},"institutions":[{"id":"https://openalex.org/I174878644","display_name":"University of Patras","ror":"https://ror.org/017wvtq80","country_code":"GR","type":"education","lineage":["https://openalex.org/I174878644"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Lefteris M. Kirousis","raw_affiliation_strings":["Department of Computer Engineering and Informatics, University of Patras, University Campus, GR-265 04 Patras, Greece","University of Patras, Patras, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering and Informatics, University of Patras, University Campus, GR-265 04 Patras, Greece","institution_ids":["https://openalex.org/I174878644"]},{"raw_affiliation_string":"University of Patras, Patras, Greece","institution_ids":["https://openalex.org/I174878644"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003125546","display_name":"Evangelos Kranakis","orcid":"https://orcid.org/0000-0002-8959-4428"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Evangelos Kranakis","raw_affiliation_strings":["School of Computer Science, Carleton University, Ottawa, Ontario, Canada K1S 5B6","Carleton University Ottawa Ontario Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, Ontario, Canada K1S 5B6","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"Carleton University Ottawa Ontario Canada","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058262792","display_name":"Danny Kriz\u0327anc","orcid":"https://orcid.org/0000-0002-0941-4010"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Danny Krizanc","raw_affiliation_strings":["School of Computer Science, Carleton University, Ottawa, Ontario, Canada K1S 5B6","Carleton University Ottawa Ontario Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, Ontario, Canada K1S 5B6","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"Carleton University Ottawa Ontario Canada","institution_ids":["https://openalex.org/I67031392"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021300666"],"corresponding_institution_ids":["https://openalex.org/I1290206253"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":8.616,"has_fulltext":false,"cited_by_count":83,"citation_normalized_percentile":{"value":0.97870662,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"265","issue":"1-2","first_page":"109","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9994999766349792,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9994999766349792,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.909500002861023,"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/T12288","display_name":"Optimization and Search Problems","score":0.9017000198364258,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7177118062973022},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6142145991325378},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.5000054836273193},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41152167320251465},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4101184606552124},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40074729919433594},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19333890080451965},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1247008740901947}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7177118062973022},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6142145991325378},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.5000054836273193},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41152167320251465},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4101184606552124},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40074729919433594},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19333890080451965},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1247008740901947},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1016/s0304-3975(01)00154-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(01)00154-2","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.117.7631","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.117.7631","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ucsc.edu/~optas/papers/2psat.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.14.4691","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.4691","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.scs.carleton.ca/~kranakis/Papers/2+p.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.41.2141","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.41.2141","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.research.microsoft.com/~optas/papers/2psat.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.44.2576","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.44.2576","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://131.107.65.21/users/optas/papers/2psat.ps","raw_type":"text"},{"id":"pmh:oai:carleton.ca:1684","is_oa":true,"landing_page_url":"https://ir.library.carleton.ca/pub/1684","pdf_url":null,"source":{"id":"https://openalex.org/S4306402514","display_name":"Carleton University's Institutional Repository (MacOdrum Library, Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theoretical Computer Science vol. 265 no. 1-2, pp. 109-129","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:carleton.ca:1684","is_oa":true,"landing_page_url":"https://ir.library.carleton.ca/pub/1684","pdf_url":null,"source":{"id":"https://openalex.org/S4306402514","display_name":"Carleton University's Institutional Repository (MacOdrum Library, Carleton University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theoretical Computer Science vol. 265 no. 1-2, pp. 109-129","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W117707387","https://openalex.org/W242035403","https://openalex.org/W1510651616","https://openalex.org/W1523650025","https://openalex.org/W1534497489","https://openalex.org/W1541044193","https://openalex.org/W1559492868","https://openalex.org/W1567053297","https://openalex.org/W1650993530","https://openalex.org/W1772716870","https://openalex.org/W1963913579","https://openalex.org/W1969966778","https://openalex.org/W1979720612","https://openalex.org/W1985250014","https://openalex.org/W2000931246","https://openalex.org/W2006424894","https://openalex.org/W2018251959","https://openalex.org/W2022695609","https://openalex.org/W2036265926","https://openalex.org/W2037870843","https://openalex.org/W2051580875","https://openalex.org/W2054387247","https://openalex.org/W2057361103","https://openalex.org/W2062897452","https://openalex.org/W2075335084","https://openalex.org/W2078137578","https://openalex.org/W2128782263","https://openalex.org/W2132240307","https://openalex.org/W2138778293","https://openalex.org/W2151140339","https://openalex.org/W2151266168","https://openalex.org/W2152026596","https://openalex.org/W2158907280","https://openalex.org/W2158982567","https://openalex.org/W2164346692","https://openalex.org/W2407913417","https://openalex.org/W2604369079","https://openalex.org/W2951758740","https://openalex.org/W3123481344","https://openalex.org/W3143264742","https://openalex.org/W4285719527","https://openalex.org/W6610181731","https://openalex.org/W6634145069","https://openalex.org/W6682496146"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W4288278856","https://openalex.org/W2572370460"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"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":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}