{"id":"https://openalex.org/W2006057641","doi":"https://doi.org/10.1002/rsa.3240030210","title":"On the expected performance of a parallel algorithm for finding maximal independent subsets of a random graph","display_name":"On the expected performance of a parallel algorithm for finding maximal independent subsets of a random graph","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W2006057641","doi":"https://doi.org/10.1002/rsa.3240030210","mag":"2006057641"},"language":"en","primary_location":{"id":"doi:10.1002/rsa.3240030210","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240030210","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","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/A5054846995","display_name":"Neil J. Calkin","orcid":"https://orcid.org/0000-0002-5701-8581"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Neil J. Calkin","raw_affiliation_strings":["Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213\u20133890"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213\u20133890","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056950019","display_name":"Alan Frieze","orcid":"https://orcid.org/0000-0002-8481-5615"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. M. Frieze","raw_affiliation_strings":["Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213\u20133890","Research supported in part by NSF Grant CCR-8900112"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213\u20133890","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Research supported in part by NSF Grant CCR-8900112","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027755637","display_name":"Lud\u011bk Ku\u010dera","orcid":"https://orcid.org/0000-0002-5718-6120"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"L. Ku\u010dera","raw_affiliation_strings":["Faculty of Mathematics, Dept. of Applied Mathematics, Charles University, Malostranske' na'm.25, 11800 Prague, Czechoslovakia"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Dept. of Applied Mathematics, Charles University, Malostranske' na'm.25, 11800 Prague, Czechoslovakia","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054846995"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.13718929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":"2","first_page":"215","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9991000294685364,"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":0.9976999759674072,"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/lexicographical-order","display_name":"Lexicographical order","score":0.7539612650871277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7356698513031006},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7255369424819946},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.558902382850647},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5322059988975525},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.4820207357406616},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47833678126335144},{"id":"https://openalex.org/keywords/frieze","display_name":"Frieze","score":0.4439563751220703}],"concepts":[{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.7539612650871277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7356698513031006},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7255369424819946},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.558902382850647},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5322059988975525},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.4820207357406616},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47833678126335144},{"id":"https://openalex.org/C170383800","wikidata":"https://www.wikidata.org/wiki/Q183272","display_name":"Frieze","level":2,"score":0.4439563751220703},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/rsa.3240030210","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240030210","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:repository.cmu.edu:math-1442","is_oa":false,"landing_page_url":"http://repository.cmu.edu/cgi/viewcontent.cgi?article=1442&context=math","pdf_url":null,"source":{"id":"https://openalex.org/S4306400668","display_name":"Research Showcase @ Carnegie Mellon University (Carnegie Mellon University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74973139","host_organization_name":"Carnegie Mellon University","host_organization_lineage":["https://openalex.org/I74973139"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Mathematical Sciences","raw_type":"text"},{"id":"pmh:doi:10.1184/r1/6478856","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal contribution"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1968067819","https://openalex.org/W2017205387","https://openalex.org/W2071759604","https://openalex.org/W2103012681","https://openalex.org/W2151636922","https://openalex.org/W4233413206"],"related_works":["https://openalex.org/W3137701599","https://openalex.org/W4236177392","https://openalex.org/W2330510439","https://openalex.org/W570640275","https://openalex.org/W2323828710","https://openalex.org/W1985455246","https://openalex.org/W1988557124","https://openalex.org/W1991028508","https://openalex.org/W2775050868","https://openalex.org/W2897343264"],"abstract_inverted_index":{"Abstract":[0],"We":[1,39],"consider":[2],"the":[3,30,47,58],"parallel":[4],"greedy":[5],"algorithm":[6],"of":[7,14,21,36,50],"Coppersmith,":[8],"Raghavan,":[9],"and":[10,67,72],"Tompa":[11],"(":[12,69],"Proc.":[13],"28th":[15],"Annual":[16],"IEEE":[17],"Symp.":[18],"on":[19,46],"Foundations":[20],"Computer":[22],"Science":[23],",":[24,74],"pp.":[25,77],"260\u2013269,":[26],"1987)":[27],"for":[28,52],"finding":[29],"lexicographically":[31],"first":[32],"maximal":[33],"independent":[34],"set":[35],"a":[37],"graph.":[38],"prove":[40],"an":[41],"\u03a9(log":[42],"n":[43,61],")":[44,62],"bound":[45,63],"expected":[48],"number":[49],"iterations":[51],"most":[53],"edge":[54],"densities.":[55],"This":[56],"complements":[57],"O":[59],"(log":[60],"proved":[64],"in":[65],"Calkin":[66],"Frieze":[68],"Random":[70],"Structures":[71],"Algorithms":[73],"Vol.":[75],"1,":[76],"39\u201350,":[78],"1990).":[79]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
