{"id":"https://openalex.org/W2033468284","doi":"https://doi.org/10.1017/s0963548306007486","title":"Creating a Giant Component","display_name":"Creating a Giant Component","publication_year":2006,"publication_date":"2006-06-07","ids":{"openalex":"https://openalex.org/W2033468284","doi":"https://doi.org/10.1017/s0963548306007486","mag":"2033468284"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548306007486","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548306007486","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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/A5079523589","display_name":"Tom Bohman","orcid":"https://orcid.org/0000-0001-5578-4664"},"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":"TOM BOHMAN","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15123, USA (e-mail:","Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15123, USA (e-mail: tbohman@moser.math.cmu.edu, kravitz@cmu.edu)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15123, USA (e-mail:","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15123, USA (e-mail: tbohman@moser.math.cmu.edu, kravitz@cmu.edu)","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056861691","display_name":"David Kravitz","orcid":null},"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":"DAVID KRAVITZ","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15123, USA (e-mail:","Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15123, USA (e-mail: tbohman@moser.math.cmu.edu, kravitz@cmu.edu)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15123, USA (e-mail:","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15123, USA (e-mail: tbohman@moser.math.cmu.edu, kravitz@cmu.edu)","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":5.1698,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.96305732,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"15","issue":"4","first_page":"489","last_page":"511"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.998199999332428,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/component","display_name":"Component (thermodynamics)","score":0.8244785070419312},{"id":"https://openalex.org/keywords/giant-component","display_name":"Giant component","score":0.5728282332420349},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4848674237728119},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.45269614458084106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4115586280822754},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38433319330215454},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36791855096817017},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3586164712905884},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24325305223464966},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09542277455329895}],"concepts":[{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.8244785070419312},{"id":"https://openalex.org/C148818006","wikidata":"https://www.wikidata.org/wiki/Q4137985","display_name":"Giant component","level":4,"score":0.5728282332420349},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4848674237728119},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.45269614458084106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4115586280822754},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38433319330215454},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36791855096817017},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3586164712905884},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24325305223464966},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09542277455329895},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0963548306007486","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548306007486","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.67.8528","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.67.8528","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/~tbohman/papers/cpc05.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W5090298","https://openalex.org/W1515742382","https://openalex.org/W1970474336","https://openalex.org/W1975999171","https://openalex.org/W2002387903","https://openalex.org/W2004427634","https://openalex.org/W2044881936","https://openalex.org/W2095403663","https://openalex.org/W2905110430","https://openalex.org/W3144881883"],"related_works":["https://openalex.org/W4388482180","https://openalex.org/W2357256365","https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W2348502264","https://openalex.org/W2365486383","https://openalex.org/W2362059367","https://openalex.org/W2568842541"],"abstract_inverted_index":{"Let":[0],",":[1],"we":[2,34],"exhibit":[3],"an":[4,53],"algorithm":[5,18,55],"that":[6,15,19,58],"creates":[7],"a":[8,25,29,36,45,61,73],"giant":[9,46,74],"component":[10,47],"relatively":[11],"quickly).":[12],"The":[13],"fact":[14],"another":[16],"specific":[17],"is":[20,60],"in":[21,48],"this":[22],"class":[23],"has":[24],"critical":[26],"value":[27],"resolves":[28],"conjecture":[30],"of":[31,42,44,68,71],"Spencer.In":[32],"addition,":[33],"establish":[35],"lower":[37],"bound":[38],"on":[39],"the":[40,65,69],"time":[41],"emergence":[43],"any":[49],"process":[50],"produced":[51],"by":[52],"on-line":[54],"and":[56],"show":[57],"there":[59],"phase":[62],"transition":[63],"for":[64],"off-line":[66],"version":[67],"problem":[70],"creating":[72],"component.":[75]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
