{"id":"https://openalex.org/W2112729204","doi":"https://doi.org/10.1007/s00236-008-0069-0","title":"Weighted height of random trees","display_name":"Weighted height of random trees","publication_year":2008,"publication_date":"2008-04-25","ids":{"openalex":"https://openalex.org/W2112729204","doi":"https://doi.org/10.1007/s00236-008-0069-0","mag":"2112729204"},"language":"en","primary_location":{"id":"doi:10.1007/s00236-008-0069-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00236-008-0069-0","pdf_url":null,"source":{"id":"https://openalex.org/S84409463","display_name":"Acta Informatica","issn_l":"0001-5903","issn":["0001-5903","1432-0525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Informatica","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/A5068016630","display_name":"Nicolas Broutin","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"N. Broutin","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, H3A2K6, Canada","McGill University, School of Computer Science, H3A2K6, Montreal, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, H3A2K6, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University, School of Computer Science, H3A2K6, Montreal, Canada#TAB#","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070394029","display_name":"Luc Devroye","orcid":"https://orcid.org/0009-0001-4330-8991"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"L. Devroye","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, H3A2K6, Canada","McGill University, School of Computer Science, H3A2K6, Montreal, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, H3A2K6, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University, School of Computer Science, H3A2K6, Montreal, Canada#TAB#","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039422648","display_name":"Erin McLeish","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"E. McLeish","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, H3A2K6, Canada","McGill University, School of Computer Science, H3A2K6, Montreal, Canada#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, H3A2K6, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University, School of Computer Science, H3A2K6, Montreal, Canada#TAB#","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039422648"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.5609,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.84069283,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"45","issue":"4","first_page":"237","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9950000047683716,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9754999876022339,"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/mathematics","display_name":"Mathematics","score":0.7790474891662598},{"id":"https://openalex.org/keywords/weight-balanced-tree","display_name":"Weight-balanced tree","score":0.6800902485847473},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6748482584953308},{"id":"https://openalex.org/keywords/binary-search-tree","display_name":"Binary search tree","score":0.5390874743461609},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5290193557739258},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5157911777496338},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4861395061016083},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46004584431648254},{"id":"https://openalex.org/keywords/random-binary-tree","display_name":"Random binary tree","score":0.4559096395969391},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.45506852865219116},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4330641031265259},{"id":"https://openalex.org/keywords/ternary-search-tree","display_name":"Ternary search tree","score":0.42875608801841736},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.42168113589286804},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.36743098497390747},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21621349453926086},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.2053186297416687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1289987564086914},{"id":"https://openalex.org/keywords/interval-tree","display_name":"Interval tree","score":0.08568587899208069}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7790474891662598},{"id":"https://openalex.org/C57900377","wikidata":"https://www.wikidata.org/wiki/Q7979855","display_name":"Weight-balanced tree","level":4,"score":0.6800902485847473},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6748482584953308},{"id":"https://openalex.org/C91154448","wikidata":"https://www.wikidata.org/wiki/Q623818","display_name":"Binary search tree","level":3,"score":0.5390874743461609},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5290193557739258},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5157911777496338},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4861395061016083},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46004584431648254},{"id":"https://openalex.org/C11829167","wikidata":"https://www.wikidata.org/wiki/Q751292","display_name":"Random binary tree","level":3,"score":0.4559096395969391},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.45506852865219116},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4330641031265259},{"id":"https://openalex.org/C136519935","wikidata":"https://www.wikidata.org/wiki/Q2859802","display_name":"Ternary search tree","level":5,"score":0.42875608801841736},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.42168113589286804},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.36743098497390747},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21621349453926086},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.2053186297416687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1289987564086914},{"id":"https://openalex.org/C84927040","wikidata":"https://www.wikidata.org/wiki/Q6057306","display_name":"Interval tree","level":4,"score":0.08568587899208069},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00236-008-0069-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00236-008-0069-0","pdf_url":null,"source":{"id":"https://openalex.org/S84409463","display_name":"Acta Informatica","issn_l":"0001-5903","issn":["0001-5903","1432-0525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Acta Informatica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.87.7562","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.87.7562","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.mcgill.ca/~nbrout/pub/split_dependent.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.44999998807907104,"display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":72,"referenced_works":["https://openalex.org/W192077381","https://openalex.org/W564523424","https://openalex.org/W1491961545","https://openalex.org/W1517147669","https://openalex.org/W1563213005","https://openalex.org/W1572167025","https://openalex.org/W1585070348","https://openalex.org/W1597723816","https://openalex.org/W1680479358","https://openalex.org/W1773656139","https://openalex.org/W1779898155","https://openalex.org/W1854930219","https://openalex.org/W1879043900","https://openalex.org/W1964930641","https://openalex.org/W1967329674","https://openalex.org/W1969329925","https://openalex.org/W1970128728","https://openalex.org/W1982250524","https://openalex.org/W1993493649","https://openalex.org/W2000484009","https://openalex.org/W2008048984","https://openalex.org/W2008196645","https://openalex.org/W2008203764","https://openalex.org/W2008436978","https://openalex.org/W2008620264","https://openalex.org/W2010816129","https://openalex.org/W2014771275","https://openalex.org/W2016995838","https://openalex.org/W2022718961","https://openalex.org/W2038681797","https://openalex.org/W2039379906","https://openalex.org/W2041147307","https://openalex.org/W2048858877","https://openalex.org/W2049189093","https://openalex.org/W2053101698","https://openalex.org/W2053183761","https://openalex.org/W2056099894","https://openalex.org/W2057843273","https://openalex.org/W2058822978","https://openalex.org/W2060108852","https://openalex.org/W2064212735","https://openalex.org/W2070263216","https://openalex.org/W2074429597","https://openalex.org/W2080085082","https://openalex.org/W2081715952","https://openalex.org/W2086000598","https://openalex.org/W2089652734","https://openalex.org/W2093716762","https://openalex.org/W2112376180","https://openalex.org/W2123024824","https://openalex.org/W2127685912","https://openalex.org/W2137661354","https://openalex.org/W2145929705","https://openalex.org/W2152197249","https://openalex.org/W2155512447","https://openalex.org/W2165558283","https://openalex.org/W2182108204","https://openalex.org/W2314476730","https://openalex.org/W2337480916","https://openalex.org/W2500470525","https://openalex.org/W2506088122","https://openalex.org/W2752853835","https://openalex.org/W2799137445","https://openalex.org/W3038470872","https://openalex.org/W3109965631","https://openalex.org/W3198160809","https://openalex.org/W4233522140","https://openalex.org/W4235295823","https://openalex.org/W4244638572","https://openalex.org/W4249667877","https://openalex.org/W4301258660","https://openalex.org/W6633749307"],"related_works":["https://openalex.org/W2077383771","https://openalex.org/W270522628","https://openalex.org/W2091985989","https://openalex.org/W4367055576","https://openalex.org/W4376140277","https://openalex.org/W2501849745","https://openalex.org/W2146997899","https://openalex.org/W3169685561","https://openalex.org/W4231913352","https://openalex.org/W1510719821"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}