{"id":"https://openalex.org/W2037366109","doi":"https://doi.org/10.1002/(sici)1098-2418(199701/03)10:1/2<5::aid-rsa2>3.0.co;2-z","title":"Algorithmic theory of random graphs","display_name":"Algorithmic theory of random graphs","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2037366109","doi":"https://doi.org/10.1002/(sici)1098-2418(199701/03)10:1/2<5::aid-rsa2>3.0.co;2-z","mag":"2037366109"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1098-2418(199701/03)10:1/2<5::aid-rsa2>3.0.co;2-z","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1098-2418(199701/03)10:1/2<5::aid-rsa2>3.0.co;2-z","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291098-2418%28199701/03%2910%3A1/2%3C5%3A%3AAID-RSA2%3E3.0.CO%3B2-Z","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 and Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291098-2418%28199701/03%2910%3A1/2%3C5%3A%3AAID-RSA2%3E3.0.CO%3B2-Z","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","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":true,"raw_author_name":"Alan Frieze","raw_affiliation_strings":["Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213","Department of Mathematics Carnegie\u2010Mellon University Pittsburgh, Pa. 15213"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Department of Mathematics Carnegie\u2010Mellon University Pittsburgh, Pa. 15213","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":null,"display_name":"Colin McDiarmid","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Colin McDiarmid","raw_affiliation_strings":["Department of Statistics, University of Oxford, Oxford, United Kingdom","[Department of Statistics, University of Oxford, Oxford, United Kingdom]"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"[Department of Statistics, University of Oxford, Oxford, United Kingdom]","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056950019"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":7.7415,"has_fulltext":false,"cited_by_count":110,"citation_normalized_percentile":{"value":0.97723769,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":"1-2","first_page":"5","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T10374","display_name":"Advanced Graph Theory Research","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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.6633316278457642},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.54537034034729},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5210189819335938},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4465812146663666},{"id":"https://openalex.org/keywords/random-regular-graph","display_name":"Random regular graph","score":0.42820703983306885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.352057546377182},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.32399100065231323},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.21727848052978516},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.21650516986846924}],"concepts":[{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.6633316278457642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.54537034034729},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5210189819335938},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4465812146663666},{"id":"https://openalex.org/C4255713","wikidata":"https://www.wikidata.org/wiki/Q7291988","display_name":"Random regular graph","level":5,"score":0.42820703983306885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.352057546377182},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.32399100065231323},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.21727848052978516},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.21650516986846924}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/(sici)1098-2418(199701/03)10:1/2<5::aid-rsa2>3.0.co;2-z","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1098-2418(199701/03)10:1/2<5::aid-rsa2>3.0.co;2-z","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291098-2418%28199701/03%2910%3A1/2%3C5%3A%3AAID-RSA2%3E3.0.CO%3B2-Z","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 and Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.50.3120","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.50.3120","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.cmu.edu/~af1p/ATRG.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.564.3846","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.564.3846","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.stats.ox.ac.uk/people/academic_staff/colin_mcdiarmid/?a=4141","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1002/(sici)1098-2418(199701/03)10:1/2<5::aid-rsa2>3.0.co;2-z","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1098-2418(199701/03)10:1/2<5::aid-rsa2>3.0.co;2-z","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291098-2418%28199701/03%2910%3A1/2%3C5%3A%3AAID-RSA2%3E3.0.CO%3B2-Z","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 and Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2037366109.pdf"},"referenced_works_count":95,"referenced_works":["https://openalex.org/W74021744","https://openalex.org/W169898132","https://openalex.org/W191748401","https://openalex.org/W1501620852","https://openalex.org/W1552744309","https://openalex.org/W1564100130","https://openalex.org/W1969186119","https://openalex.org/W1971389009","https://openalex.org/W1971612468","https://openalex.org/W1973072981","https://openalex.org/W1980848544","https://openalex.org/W1981700549","https://openalex.org/W1985061810","https://openalex.org/W1986806918","https://openalex.org/W1988533413","https://openalex.org/W1990302986","https://openalex.org/W1991965073","https://openalex.org/W1993343369","https://openalex.org/W1994373792","https://openalex.org/W1994597379","https://openalex.org/W1996075091","https://openalex.org/W1996876354","https://openalex.org/W1997556777","https://openalex.org/W2000890568","https://openalex.org/W2003914969","https://openalex.org/W2006544720","https://openalex.org/W2006912660","https://openalex.org/W2008203889","https://openalex.org/W2009232680","https://openalex.org/W2009489698","https://openalex.org/W2010601719","https://openalex.org/W2011601766","https://openalex.org/W2012473793","https://openalex.org/W2012724629","https://openalex.org/W2016330879","https://openalex.org/W2016806092","https://openalex.org/W2017777628","https://openalex.org/W2018483383","https://openalex.org/W2018663595","https://openalex.org/W2020777270","https://openalex.org/W2021434280","https://openalex.org/W2024244453","https://openalex.org/W2028966195","https://openalex.org/W2039086323","https://openalex.org/W2043233502","https://openalex.org/W2043243657","https://openalex.org/W2051111718","https://openalex.org/W2052882549","https://openalex.org/W2054523876","https://openalex.org/W2054534432","https://openalex.org/W2054534871","https://openalex.org/W2054812794","https://openalex.org/W2056800373","https://openalex.org/W2060445186","https://openalex.org/W2061496873","https://openalex.org/W2062263400","https://openalex.org/W2062307640","https://openalex.org/W2065663455","https://openalex.org/W2066720893","https://openalex.org/W2068102791","https://openalex.org/W2068179205","https://openalex.org/W2068871408","https://openalex.org/W2069226351","https://openalex.org/W2074567977","https://openalex.org/W2079035346","https://openalex.org/W2079330337","https://openalex.org/W2079473728","https://openalex.org/W2080548021","https://openalex.org/W2082249316","https://openalex.org/W2088210486","https://openalex.org/W2091593479","https://openalex.org/W2092816446","https://openalex.org/W2099470650","https://openalex.org/W2100057426","https://openalex.org/W2104254886","https://openalex.org/W2107102056","https://openalex.org/W2109767783","https://openalex.org/W2111559003","https://openalex.org/W2112575355","https://openalex.org/W2121434721","https://openalex.org/W2122753831","https://openalex.org/W2123425620","https://openalex.org/W2134867658","https://openalex.org/W2136219960","https://openalex.org/W2142702167","https://openalex.org/W2145018544","https://openalex.org/W2150476282","https://openalex.org/W2153584512","https://openalex.org/W2162018802","https://openalex.org/W2169528473","https://openalex.org/W2171919542","https://openalex.org/W2908728486","https://openalex.org/W2952923218","https://openalex.org/W2991226082","https://openalex.org/W2992708099"],"related_works":["https://openalex.org/W2963220137","https://openalex.org/W2914250110","https://openalex.org/W2952844620","https://openalex.org/W3103129687","https://openalex.org/W1983682594","https://openalex.org/W2997119953","https://openalex.org/W1951087126","https://openalex.org/W3102272889","https://openalex.org/W2494293574","https://openalex.org/W2160671040"],"abstract_inverted_index":{"The":[0],"theory":[1],"of":[2,18,40,49],"random":[3,31],"graphs":[4,32],"has":[5,25],"been":[6,26],"mainly":[7],"concerned":[8],"with":[9],"structural":[10],"properties,":[11],"in":[12,29,52],"particular":[13],"the":[14,36,50],"most":[15],"likely":[16],"values":[17],"various":[19],"graph":[20,41],"invariants\u2014see":[21],"Bollob\u00e0s":[22],"[21].":[23],"There":[24],"increasing":[27],"interest":[28],"using":[30],"as":[33],"models":[34],"for":[35],"average":[37],"case":[38],"analysis":[39],"algorithms.":[42],"In":[43],"this":[44,53],"paper":[45],"we":[46],"survey":[47],"some":[48],"results":[51],"area.":[54],"\u00a9":[55],"1997":[56],"John":[57],"Wiley":[58],"&":[59],"Sons,":[60],"Inc.":[61],"Random":[62],"Struct.":[63],"Alg.,":[64],"10,":[65],"5\u201342":[66],"(1997)":[67]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
