{"id":"https://openalex.org/W141256221","doi":"https://doi.org/10.1007/978-3-322-95233-2_16","title":"On the Stack Size of a Class of Backtrack Trees","display_name":"On the Stack Size of a Class of Backtrack Trees","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W141256221","doi":"https://doi.org/10.1007/978-3-322-95233-2_16","mag":"141256221"},"language":"de","primary_location":{"id":"doi:10.1007/978-3-322-95233-2_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-322-95233-2_16","pdf_url":null,"source":{"id":"https://openalex.org/S4210233246","display_name":"Teubner-Texte zur Informatik","issn_l":"1615-4584","issn":["1615-4584"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TEUBNER-TEXTE zur Informatik","raw_type":"book-chapter"},"type":"book-chapter","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/A5006800197","display_name":"Rainer Kemp","orcid":null},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Rainer Kemp","raw_affiliation_strings":["Fachbereich Informatik, Johann Wolfgang Goethe-Universit\u00e4t, 6000, Frankfurt am Main, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Informatik, Johann Wolfgang Goethe-Universit\u00e4t, 6000, Frankfurt am Main, Germany","institution_ids":["https://openalex.org/I114090438"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006800197"],"corresponding_institution_ids":["https://openalex.org/I114090438"],"apc_list":null,"apc_paid":null,"fwci":1.3333,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72842999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"269","last_page":"282"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9993000030517578,"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":0.9993000030517578,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9986000061035156,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stack","display_name":"Stack (abstract data type)","score":0.8619681596755981},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.6555727124214172},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6427080035209656},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6382467150688171},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6225086450576782},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6059725284576416},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5896872878074646},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5856902003288269},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.48944178223609924},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.46807774901390076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1900644302368164},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11093035340309143},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08373433351516724}],"concepts":[{"id":"https://openalex.org/C9395851","wikidata":"https://www.wikidata.org/wiki/Q177929","display_name":"Stack (abstract data type)","level":2,"score":0.8619681596755981},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.6555727124214172},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6427080035209656},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6382467150688171},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6225086450576782},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6059725284576416},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5896872878074646},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5856902003288269},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.48944178223609924},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.46807774901390076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1900644302368164},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11093035340309143},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08373433351516724},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-322-95233-2_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-322-95233-2_16","pdf_url":null,"source":{"id":"https://openalex.org/S4210233246","display_name":"Teubner-Texte zur Informatik","issn_l":"1615-4584","issn":["1615-4584"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"TEUBNER-TEXTE zur Informatik","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1983188796","https://openalex.org/W2056084417","https://openalex.org/W2059942290","https://openalex.org/W2075140136","https://openalex.org/W2075604144","https://openalex.org/W2092907180","https://openalex.org/W2752853835"],"related_works":["https://openalex.org/W2380576232","https://openalex.org/W2937054111","https://openalex.org/W2066223521","https://openalex.org/W373327546","https://openalex.org/W2058958858","https://openalex.org/W1835805572","https://openalex.org/W2321534397","https://openalex.org/W2148243540","https://openalex.org/W2077601556","https://openalex.org/W2013178899"],"abstract_inverted_index":{"We":[0,62],"derive":[1],"a":[2,14,18,42,70,80],"lower":[3],"and":[4,50,88],"an":[5,56],"upper":[6],"bound":[7],"for":[8,31,82,101],"the":[9,32,65,107],"average":[10,66,108],"stack":[11,67,109],"size":[12,68,110],"of":[13,23,34,69],"tree":[15,71],"contained":[16],"in":[17,73,95,113],"family":[19],"F":[20,74],"p":[21,59,75,85,98,104],"(h)":[22,76],"non-regularly":[24],"distributed":[25],"binary":[26],"trees":[27,40],"introduced":[28],"by":[29,55,79],"P.W.Purdom":[30],"purpose":[33],"modelling":[35],"backtrack":[36],"trees.":[37],"The":[38],"considered":[39],"have":[41],"height":[43],"less":[44],"than":[45],"or":[46],"equal":[47],"to":[48],"h":[49,96],"their":[51],"shapes":[52],"are":[53],"controlled":[54],"external":[57],"parameter":[58],"\u2208":[60],"[0,1].":[61],"show":[63],"that":[64,89],"appearing":[72],"is":[77],"bounded":[78],"constant":[81],"0":[83],"\u2264":[84,105],"<":[86,103],"\u00bd,":[87],"it":[90],"grows":[91,111],"at":[92],"most":[93],"logarithmically":[94],"if":[97],"=":[99],"\u00bd;":[100],"\u00bd":[102],"1,":[106],"linearly":[112],"h.":[114]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
