{"id":"https://openalex.org/W2060664390","doi":"https://doi.org/10.1080/00207169908804813","title":"On the generation of binary trees in<i>A</i>-order","display_name":"On the generation of binary trees in<i>A</i>-order","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2060664390","doi":"https://doi.org/10.1080/00207169908804813","mag":"2060664390"},"language":"en","primary_location":{"id":"doi:10.1080/00207169908804813","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804813","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5108205508","display_name":"H. Ahrabian","orcid":null},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"H. Ahrabian","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science , University of Tehran , Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science , University of Tehran , Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028185671","display_name":"Abbas Nowzari-Dalini","orcid":"https://orcid.org/0000-0003-4598-2645"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Nowzari-dalini","raw_affiliation_strings":["Department of Mathematics and Computer Science, Faculty of Science , Institute for Studies in Theoretical , Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Faculty of Science , Institute for Studies in Theoretical , Tehran, Iran","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108205508"],"corresponding_institution_ids":["https://openalex.org/I23946033"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.18875697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"71","issue":"3","first_page":"351","last_page":"357"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9329000115394592,"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":0.9329000115394592,"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/T13734","display_name":"Advanced Computational Techniques and Applications","score":0.9232000112533569,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.902899980545044,"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/lexicographical-order","display_name":"Lexicographical order","score":0.844149112701416},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7532690763473511},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.7168698310852051},{"id":"https://openalex.org/keywords/random-binary-tree","display_name":"Random binary tree","score":0.7138140201568604},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.7049559354782104},{"id":"https://openalex.org/keywords/weight-balanced-tree","display_name":"Weight-balanced tree","score":0.6534457206726074},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.638881266117096},{"id":"https://openalex.org/keywords/binary-search-tree","display_name":"Binary search tree","score":0.634840726852417},{"id":"https://openalex.org/keywords/binary-expression-tree","display_name":"Binary expression tree","score":0.5772058367729187},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5422016978263855},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5222976207733154},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49805307388305664},{"id":"https://openalex.org/keywords/ternary-search-tree","display_name":"Ternary search tree","score":0.4164649546146393},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3553706407546997},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3506213426589966},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16435149312019348},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15553298592567444},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1335698366165161},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.10419249534606934}],"concepts":[{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.844149112701416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7532690763473511},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.7168698310852051},{"id":"https://openalex.org/C11829167","wikidata":"https://www.wikidata.org/wiki/Q751292","display_name":"Random binary tree","level":3,"score":0.7138140201568604},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.7049559354782104},{"id":"https://openalex.org/C57900377","wikidata":"https://www.wikidata.org/wiki/Q7979855","display_name":"Weight-balanced tree","level":4,"score":0.6534457206726074},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.638881266117096},{"id":"https://openalex.org/C91154448","wikidata":"https://www.wikidata.org/wiki/Q623818","display_name":"Binary search tree","level":3,"score":0.634840726852417},{"id":"https://openalex.org/C166055160","wikidata":"https://www.wikidata.org/wiki/Q4913895","display_name":"Binary expression tree","level":3,"score":0.5772058367729187},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5422016978263855},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5222976207733154},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49805307388305664},{"id":"https://openalex.org/C136519935","wikidata":"https://www.wikidata.org/wiki/Q2859802","display_name":"Ternary search tree","level":5,"score":0.4164649546146393},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3553706407546997},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3506213426589966},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16435149312019348},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15553298592567444},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1335698366165161},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.10419249534606934},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C84927040","wikidata":"https://www.wikidata.org/wiki/Q6057306","display_name":"Interval tree","level":4,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169908804813","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169908804813","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":7,"referenced_works":["https://openalex.org/W1964195795","https://openalex.org/W1998997565","https://openalex.org/W2010788995","https://openalex.org/W2019778981","https://openalex.org/W2022655857","https://openalex.org/W2066570077","https://openalex.org/W2080441570"],"related_works":["https://openalex.org/W270522628","https://openalex.org/W2077383771","https://openalex.org/W1973074590","https://openalex.org/W2072924299","https://openalex.org/W1510719821","https://openalex.org/W3169685561","https://openalex.org/W2501849745","https://openalex.org/W1977873972","https://openalex.org/W2013246077","https://openalex.org/W2094741753"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"A-sequences,":[3],"which":[4],"are":[5,11,36,51],"integer":[6],"sequences":[7,14],"characterizing":[8],"binary":[9,21],"trees":[10,22],"introduced.":[12],"These":[13],"generate":[15],"directly":[16],"and":[17,34,41],"lexicographically":[18],"all":[19],"the":[20,24,39,42,47],"in":[23],"reverse":[25],"order":[26],"of":[27,44],"A-order.":[28],"The":[29],"generation":[30],"algorithm":[31],"with":[32,46],"ranking":[33],"unranking":[35],"provided.":[37],"Furthermore,":[38],"similarities":[40],"differences":[43],"A-sequences":[45],"similar":[48],"previous":[49],"works":[50],"discussed.":[52]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
