{"id":"https://openalex.org/W2587761436","doi":"https://doi.org/10.1142/s1793830917500215","title":"On the size of paged recursive trees","display_name":"On the size of paged recursive trees","publication_year":2017,"publication_date":"2017-02-10","ids":{"openalex":"https://openalex.org/W2587761436","doi":"https://doi.org/10.1142/s1793830917500215","mag":"2587761436"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830917500215","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500215","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5018668884","display_name":"Mehri Javanian","orcid":"https://orcid.org/0000-0002-5737-3663"},"institutions":[{"id":"https://openalex.org/I99861883","display_name":"University of Zanjan","ror":"https://ror.org/05e34ej29","country_code":"IR","type":"education","lineage":["https://openalex.org/I99861883"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mehri Javanian","raw_affiliation_strings":["Department of Statistics, University of Zanjan, Zanjan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Zanjan, Zanjan, Iran","institution_ids":["https://openalex.org/I99861883"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018668884"],"corresponding_institution_ids":["https://openalex.org/I99861883"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.08850621,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"09","issue":"02","first_page":"1750021","last_page":"1750021"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9984999895095825,"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":0.9984999895095825,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9919999837875366,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6048603653907776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5117082595825195},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5079506039619446},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.45951640605926514},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.42263147234916687},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38913363218307495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34803012013435364}],"concepts":[{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6048603653907776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5117082595825195},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5079506039619446},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.45951640605926514},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.42263147234916687},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38913363218307495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34803012013435364},{"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/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830917500215","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830917500215","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1511251174","https://openalex.org/W1558554479","https://openalex.org/W1822661062","https://openalex.org/W1987624250","https://openalex.org/W2002494504","https://openalex.org/W2021738579","https://openalex.org/W2041147307","https://openalex.org/W2042464140","https://openalex.org/W2043092202","https://openalex.org/W2084270224","https://openalex.org/W2112376180","https://openalex.org/W2113913510","https://openalex.org/W2150437802","https://openalex.org/W4252334863","https://openalex.org/W4255565618","https://openalex.org/W4298050965"],"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/W2066456778","https://openalex.org/W4288278856"],"abstract_inverted_index":{"A":[0],"paged":[1,46],"recursive":[2,8,47],"tree":[3,9],"is":[4,67,74],"constructed":[5],"as":[6,80],"a":[7,22],"except":[10],"that":[11,70],"it":[12,66],"depends":[13],"on":[14],"an":[15],"integer":[16],"parameter":[17],"[Formula:":[18,29,38,52,60,71,77,81],"see":[19,30,39,53,61,72,78,82],"text]":[20,40,62,73,79,83],"representing":[21],"page":[23],"capacity,":[24],"small":[25],"subtrees":[26],"with":[27],"size":[28],"text].":[31,54],"We":[32],"investigate":[33],"the":[34,43,86],"number":[35],"of":[36,42,59],"nodes":[37],"(size":[41],"tree)":[44],"in":[45],"trees":[48],"built":[49],"from":[50],"labels":[51],"The":[55],"expectation":[56],"and":[57,65],"variance":[58],"are":[63],"derived,":[64],"also":[68],"shown":[69],"asymptotically":[75],"normal.":[76],"by":[84],"applying":[85],"contraction":[87],"method.":[88]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
