{"id":"https://openalex.org/W2050059752","doi":"https://doi.org/10.1007/bf01994841","title":"Expected heights in heaps","display_name":"Expected heights in heaps","publication_year":1992,"publication_date":"1992-12-01","ids":{"openalex":"https://openalex.org/W2050059752","doi":"https://doi.org/10.1007/bf01994841","mag":"2050059752"},"language":"en","primary_location":{"id":"doi:10.1007/bf01994841","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01994841","pdf_url":null,"source":{"id":"https://openalex.org/S125499977","display_name":"BIT Numerical Mathematics","issn_l":"0006-3835","issn":["0006-3835","1572-9125"],"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":"BIT Numerical Mathematics","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/A5110165813","display_name":"Jeannette M. de Graaf","orcid":null},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jeannette M. de Graaf","raw_affiliation_strings":["Department of Mathematics and Computer Science, Leiden University, P.O. Box 9512, 2300 RA, Leiden, The Netherlands","Department of Mathematics and Computer Science, Leiden University, Leiden, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Leiden University, P.O. Box 9512, 2300 RA, Leiden, The Netherlands","institution_ids":["https://openalex.org/I121797337"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Leiden University, Leiden, The Netherlands","institution_ids":["https://openalex.org/I121797337"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054569164","display_name":"Walter A. Kosters","orcid":"https://orcid.org/0000-0001-8860-0390"},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Walter A. Kosters","raw_affiliation_strings":["Department of Mathematics and Computer Science, Leiden University, P.O. Box 9512, 2300 RA, Leiden, The Netherlands","Department of Mathematics and Computer Science, Leiden University, Leiden, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Leiden University, P.O. Box 9512, 2300 RA, Leiden, The Netherlands","institution_ids":["https://openalex.org/I121797337"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Leiden University, Leiden, The Netherlands","institution_ids":["https://openalex.org/I121797337"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.5583,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74167608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"4","first_page":"570","last_page":"579"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11567","display_name":"semigroups and automata theory","score":0.996399998664856,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/heap","display_name":"Heap (data structure)","score":0.9628585577011108},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.708839476108551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5842600464820862},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3649466335773468},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06111329793930054}],"concepts":[{"id":"https://openalex.org/C134757568","wikidata":"https://www.wikidata.org/wiki/Q274089","display_name":"Heap (data structure)","level":2,"score":0.9628585577011108},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.708839476108551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5842600464820862},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3649466335773468},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06111329793930054}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bf01994841","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01994841","pdf_url":null,"source":{"id":"https://openalex.org/S125499977","display_name":"BIT Numerical Mathematics","issn_l":"0006-3835","issn":["0006-3835","1572-9125"],"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":"BIT Numerical Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.221.3826","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.221.3826","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.liacs.nl/home/kosters/heapbit.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.54.9508","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.9508","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.wi.leidenuniv.nl/home/kosters/heapbit.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1536806778","https://openalex.org/W2001363180","https://openalex.org/W2752853835","https://openalex.org/W3198160809"],"related_works":["https://openalex.org/W3158777280","https://openalex.org/W2093687902","https://openalex.org/W2949158926","https://openalex.org/W4301885003","https://openalex.org/W2005058894","https://openalex.org/W1979597421","https://openalex.org/W1996981508","https://openalex.org/W1989205740","https://openalex.org/W4387561287","https://openalex.org/W2007980826"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
