{"id":"https://openalex.org/W2155277405","doi":null,"title":"The Binary Tree Roll Operation: Definition, Explanation and Algorithm","display_name":"The Binary Tree Roll Operation: Definition, Explanation and Algorithm","publication_year":2012,"publication_date":"2012-05-31","ids":{"openalex":"https://openalex.org/W2155277405","mag":"2155277405"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.736.4239","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.736.4239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.ijcaonline.org/volume46/number8/pxc3879425.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"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/A5088783447","display_name":"Adrijan Bo\u017einovski","orcid":"https://orcid.org/0000-0003-2820-4016","observed_orcids":["https://orcid.org/0000-0003-2820-4016"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Adrijan Bo\u017einovski","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2820-4016","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5049841184","display_name":"Nevena Ackovska","orcid":"https://orcid.org/0000-0002-8990-0915","observed_orcids":["https://orcid.org/0000-0002-8990-0915"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nevena Ackovska","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8990-0915","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":97},"biblio":{"volume":"46","issue":"8","first_page":"40","last_page":"47"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.7925000190734863,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.7925000190734863,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.09880000352859497,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.02539999969303608,"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/binary-trees","display_name":"binary trees","score":0.8100000023841858},{"id":"https://openalex.org/keywords/tree-rotations","display_name":"tree rotations","score":0.8339999914169312},{"id":"https://openalex.org/keywords/tree-based-algorithms","display_name":"tree-based algorithms","score":0.47200000286102295}],"concepts":[{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.7861676812171936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7542101144790649},{"id":"https://openalex.org/C11829167","wikidata":"https://www.wikidata.org/wiki/Q751292","display_name":"Random binary tree","level":3,"score":0.7418210506439209},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6571650505065918},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6556829214096069},{"id":"https://openalex.org/C135593954","wikidata":"https://www.wikidata.org/wiki/Q245955","display_name":"Self-balancing binary search tree","level":5,"score":0.6492257714271545},{"id":"https://openalex.org/C100560664","wikidata":"https://www.wikidata.org/wiki/Q3608019","display_name":"K-ary tree","level":4,"score":0.5971873998641968},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.58290034532547},{"id":"https://openalex.org/C27628562","wikidata":"https://www.wikidata.org/wiki/Q17154715","display_name":"Optimal binary search tree","level":5,"score":0.5442493557929993},{"id":"https://openalex.org/C70026782","wikidata":"https://www.wikidata.org/wiki/Q16726164","display_name":"Clockwise","level":3,"score":0.5092462301254272},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.44497808814048767},{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.4355713725090027},{"id":"https://openalex.org/C84927040","wikidata":"https://www.wikidata.org/wiki/Q6057306","display_name":"Interval tree","level":4,"score":0.4292132556438446},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35894906520843506},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.33330145478248596},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.22229331731796265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1967797875404358},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13449957966804504},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13255718350410461},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08525297045707703},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.736.4239","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.736.4239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://research.ijcaonline.org/volume46/number8/pxc3879425.pdf","raw_type":"text"},{"id":"mag:2155277405","doi":null,"is_oa":false,"landing_page_url":"https://research.ijcaonline.org/volume46/number8/pxc3879425.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4210206007","display_name":"International Journal of Computer Applications","issn_l":"0975-8887","issn":["0975-8887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4322545532","host_organization_name":"Foundation of Computer Science","host_organization_lineage":["https://openalex.org/P4322545532"],"host_organization_lineage_names":["Foundation of Computer Science"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Computer Applications","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W31469951","https://openalex.org/W67380834","https://openalex.org/W1603416030","https://openalex.org/W1773898738","https://openalex.org/W1967655681","https://openalex.org/W2016436011","https://openalex.org/W2044460276","https://openalex.org/W2063356553","https://openalex.org/W2091546225","https://openalex.org/W2113320216","https://openalex.org/W2148188454","https://openalex.org/W2167192293","https://openalex.org/W2172042336","https://openalex.org/W2221925368","https://openalex.org/W2735565355","https://openalex.org/W2753176400"],"related_works":["https://openalex.org/W2749663619","https://openalex.org/W2626608402","https://openalex.org/W4251103758","https://openalex.org/W169925145","https://openalex.org/W2025178706","https://openalex.org/W2144672948","https://openalex.org/W2049515965","https://openalex.org/W1985016386","https://openalex.org/W2368926262","https://openalex.org/W4239412076"],"abstract_inverted_index":{"The":[0,31,108],"paper":[1,131],"introduces":[2],"an":[3],"operation":[4,124],"on":[5],"a":[6,16,73,133,153],"binary":[7,10,17,23,44,138],"tree,":[8],"called":[9],"tree":[11,24,45,56,139],"roll,":[12,25],"or":[13,60],"roll":[14,46,68,101,123,140],"of":[15,21,52,72,86,96,136],"tree.":[18],"Two":[19],"versions":[20],"the":[22,43,50,54,67,70,93,114,122,130],"counterclockwise":[26,59],"and":[27,36,65,82,98,112,127,146],"clockwise,":[28],"are":[29,33,88,103,110,125],"presented.":[30,38],"operations":[32,95,102],"mathematically":[34],"defined":[35],"graphically":[37],"It":[39],"is":[40],"explained":[41],"how":[42],"actually":[47],"coincides":[48],"with":[49],"process":[51],"turning":[53,97],"entire":[55],"90":[57],"degrees":[58],"clockwise.":[61],"To":[62],"visually":[63],"explain":[64],"perform":[66],"operation,":[69],"concepts":[71],"wedge":[74],"node,":[75],"true":[76],"ancestor,":[77,79],"illusory":[78,80,83],"root":[81],"ancestral":[84],"stem":[85],"nodes":[87],"introduced,":[89],"as":[90,92],"well":[91],"visual":[94,144],"downshift.":[99],"Both":[100],"implemented":[104],"using":[105,152],"programming":[106],"algorithms.":[107],"algorithms":[109,148],"explained,":[111],"all":[113],"situations":[115],"that":[116],"might":[117],"be":[118],"encountered":[119],"during":[120],"processing":[121],"examined":[126],"resolved.":[128],"Thus,":[129],"gives":[132,142],"mathematical":[134],"introduction":[135],"both":[137],"operations,":[141],"their":[143,150],"explanations":[145],"offers":[147],"for":[149],"implementations":[151],"computer.":[154]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":3}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2016-06-24T00:00:00"}