{"id":"https://openalex.org/W2658208876","doi":"https://doi.org/10.1017/s0963548318000226","title":"Random Recursive Trees and Preferential Attachment Trees are Random Split Trees","display_name":"Random Recursive Trees and Preferential Attachment Trees are Random Split Trees","publication_year":2018,"publication_date":"2018-05-21","ids":{"openalex":"https://openalex.org/W2658208876","doi":"https://doi.org/10.1017/s0963548318000226","mag":"2658208876"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548318000226","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548318000226","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/02A08DA234287E378EC087B424FF8E52/S0963548318000226a.pdf/div-class-title-random-recursive-trees-and-preferential-attachment-trees-are-random-split-trees-div.pdf","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/02A08DA234287E378EC087B424FF8E52/S0963548318000226a.pdf/div-class-title-random-recursive-trees-and-preferential-attachment-trees-are-random-split-trees-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022615833","display_name":"Svante Janson","orcid":"https://orcid.org/0000-0002-9680-2790"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"SVANTE JANSON","raw_affiliation_strings":["Department of Mathematics, Uppsala University, PO Box 480, SE-751 06 Uppsala, Sweden (e-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Uppsala University, PO Box 480, SE-751 06 Uppsala, Sweden (e-mail:","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5022615833"],"corresponding_institution_ids":["https://openalex.org/I123387679"],"apc_list":null,"apc_paid":null,"fwci":0.7368,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63179572,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"28","issue":"1","first_page":"81","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.992900013923645,"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"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.992900013923645,"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"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9361000061035156,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/preferential-attachment","display_name":"Preferential attachment","score":0.8575952053070068},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.6941176056861877},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6194769144058228},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6158046722412109},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5980682969093323},{"id":"https://openalex.org/keywords/random-tree","display_name":"Random tree","score":0.5252442359924316},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.5119832158088684},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37011533975601196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3039212226867676},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.11611875891685486},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.11105602979660034},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08494961261749268},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.0456811785697937}],"concepts":[{"id":"https://openalex.org/C2780600066","wikidata":"https://www.wikidata.org/wiki/Q7239828","display_name":"Preferential attachment","level":3,"score":0.8575952053070068},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.6941176056861877},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6194769144058228},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6158046722412109},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5980682969093323},{"id":"https://openalex.org/C2776839635","wikidata":"https://www.wikidata.org/wiki/Q14942679","display_name":"Random tree","level":4,"score":0.5252442359924316},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5119832158088684},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37011533975601196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3039212226867676},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.11611875891685486},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.11105602979660034},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08494961261749268},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.0456811785697937},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0},{"id":"https://openalex.org/C81074085","wikidata":"https://www.wikidata.org/wiki/Q366872","display_name":"Motion planning","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1017/s0963548318000226","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548318000226","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/02A08DA234287E378EC087B424FF8E52/S0963548318000226a.pdf/div-class-title-random-recursive-trees-and-preferential-attachment-trees-are-random-split-trees-div.pdf","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:arXiv.org:1706.05487","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1706.05487","pdf_url":"https://arxiv.org/pdf/1706.05487","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:2658208876","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1706.05487.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1706.05487","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1706.05487","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1017/s0963548318000226","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548318000226","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/02A08DA234287E378EC087B424FF8E52/S0963548318000226a.pdf/div-class-title-random-recursive-trees-and-preferential-attachment-trees-are-random-split-trees-div.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2658208876.pdf","grobid_xml":"https://content.openalex.org/works/W2658208876.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W263845233","https://openalex.org/W1503350875","https://openalex.org/W1563213005","https://openalex.org/W1659198685","https://openalex.org/W1968569626","https://openalex.org/W1982250524","https://openalex.org/W1987794091","https://openalex.org/W2008620264","https://openalex.org/W2016710671","https://openalex.org/W2022718961","https://openalex.org/W2043392316","https://openalex.org/W2081564088","https://openalex.org/W2086534817","https://openalex.org/W2092872439","https://openalex.org/W2152197249","https://openalex.org/W2254492281","https://openalex.org/W2639000873","https://openalex.org/W2962939975","https://openalex.org/W4210633230","https://openalex.org/W4233522140","https://openalex.org/W4247557894","https://openalex.org/W4252334863","https://openalex.org/W4253682120","https://openalex.org/W4292027056"],"related_works":["https://openalex.org/W2962801705","https://openalex.org/W3032777455","https://openalex.org/W201436835","https://openalex.org/W2809600437","https://openalex.org/W3025372807","https://openalex.org/W3010962982","https://openalex.org/W3208395599","https://openalex.org/W3130698525","https://openalex.org/W3007971299","https://openalex.org/W1480005189","https://openalex.org/W3160283760","https://openalex.org/W2111880296","https://openalex.org/W2963957591","https://openalex.org/W2238128089","https://openalex.org/W1815630566","https://openalex.org/W2975594456","https://openalex.org/W1966886504","https://openalex.org/W2097813488","https://openalex.org/W1716272144","https://openalex.org/W2952882598"],"abstract_inverted_index":{"We":[0],"consider":[1],"linear":[2],"preferential":[3,40],"attachment":[4,41],"trees,":[5],"and":[6,37],"show":[7],"that":[8],"they":[9],"can":[10],"be":[11],"regarded":[12],"as":[13],"random":[14,34],"split":[15],"trees":[16],"in":[17],"the":[18,33,38,48,56],"sense":[19],"of":[20,53,55,59],"Devroye":[21],"(1999),":[22],"although":[23],"with":[24],"infinite":[25],"potential":[26],"branching.":[27],"In":[28],"particular,":[29],"this":[30],"applies":[31],"to":[32,47],"recursive":[35],"tree":[36],"standard":[39],"tree.":[42],"An":[43],"application":[44],"is":[45],"given":[46],"sum":[49],"over":[50],"all":[51],"pairs":[52],"nodes":[54],"common":[57],"number":[58],"ancestors.":[60]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}