{"id":"https://openalex.org/W1782344546","doi":"https://doi.org/10.3233/fi-2013-819","title":"Araucaria Trees: Construction and Grafting Theorems","display_name":"Araucaria Trees: Construction and Grafting Theorems","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1782344546","doi":"https://doi.org/10.3233/fi-2013-819","mag":"1782344546"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2013-819","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2013-819","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5033062463","display_name":"Dominique Schmitt","orcid":"https://orcid.org/0000-0002-1606-8013"},"institutions":[{"id":"https://openalex.org/I2800745255","display_name":"Universit\u00e9 de Haute-Alsace","ror":"https://ror.org/04k8k6n84","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800745255"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Dominique Schmitt","raw_affiliation_strings":["Laboratoire LMIA, Equipe MAGE, Universit\u00e9 de Haute Alsace, 4, rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse, France. Dominique.Schmitt@uha.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire LMIA, Equipe MAGE, Universit\u00e9 de Haute Alsace, 4, rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse, France. Dominique.Schmitt@uha.fr","institution_ids":["https://openalex.org/I2800745255"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029388418","display_name":"Jean-Claude Spehner","orcid":null},"institutions":[{"id":"https://openalex.org/I2800745255","display_name":"Universit\u00e9 de Haute-Alsace","ror":"https://ror.org/04k8k6n84","country_code":"FR","type":"education","lineage":["https://openalex.org/I2800745255"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Claude Spehner","raw_affiliation_strings":["Laboratoire LMIA, Equipe MAGE, Universit\u00e9 de Haute Alsace, 4, rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse, France. Jean-Claude.Spehner@uha.fr"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire LMIA, Equipe MAGE, Universit\u00e9 de Haute Alsace, 4, rue des Fr\u00e8res Lumi\u00e8re, 68093 Mulhouse, France. Jean-Claude.Spehner@uha.fr","institution_ids":["https://openalex.org/I2800745255"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033062463"],"corresponding_institution_ids":["https://openalex.org/I2800745255"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0732432,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"123","issue":"4","first_page":"417","last_page":"445"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12795","display_name":"Banana Cultivation and Research","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12795","display_name":"Banana Cultivation and Research","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11882","display_name":"Plant biochemistry and biosynthesis","score":0.9646999835968018,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9319999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/araucaria","display_name":"Araucaria","score":0.8381317853927612},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5977145433425903},{"id":"https://openalex.org/keywords/grafting","display_name":"Grafting","score":0.5368955731391907},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42326804995536804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3339451551437378},{"id":"https://openalex.org/keywords/forestry","display_name":"Forestry","score":0.16539236903190613},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.11754700541496277},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11552762985229492}],"concepts":[{"id":"https://openalex.org/C2778540768","wikidata":"https://www.wikidata.org/wiki/Q157214","display_name":"Araucaria","level":2,"score":0.8381317853927612},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5977145433425903},{"id":"https://openalex.org/C2775937945","wikidata":"https://www.wikidata.org/wiki/Q222958","display_name":"Grafting","level":3,"score":0.5368955731391907},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42326804995536804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3339451551437378},{"id":"https://openalex.org/C97137747","wikidata":"https://www.wikidata.org/wiki/Q38112","display_name":"Forestry","level":1,"score":0.16539236903190613},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.11754700541496277},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11552762985229492},{"id":"https://openalex.org/C521977710","wikidata":"https://www.wikidata.org/wiki/Q81163","display_name":"Polymer","level":2,"score":0.0},{"id":"https://openalex.org/C46141821","wikidata":"https://www.wikidata.org/wiki/Q209402","display_name":"Nuclear magnetic resonance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/fi-2013-819","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2013-819","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04362590v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04362590","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://content.iospress.com/articles/fundamenta-informaticae/fi123-4-03","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6399999856948853}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1514324498","https://openalex.org/W1539205436","https://openalex.org/W1586417893","https://openalex.org/W1765448554","https://openalex.org/W2008734340","https://openalex.org/W2082333686","https://openalex.org/W2086683111","https://openalex.org/W2130352033","https://openalex.org/W2149109610","https://openalex.org/W2408033335"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W4283577430","https://openalex.org/W2070327627","https://openalex.org/W4384026798","https://openalex.org/W2106699007","https://openalex.org/W1588914879","https://openalex.org/W2017942245","https://openalex.org/W2149145126"],"abstract_inverted_index":{"Araucarias":[0],"have":[1],"been":[2],"introduced":[3],"by":[4,73,79,95],"Schott":[5],"and":[6,33,61,97],"Spehner":[7],"as":[8],"trees":[9],"which":[10,29,125],"appear":[11],"in":[12,111],"the":[13,17,44,48,57],"minimal":[14],"automaton":[15],"of":[16,19,27,39,59,75,122],"shuffle":[18],"words.":[20],"We":[21,86,101],"give":[22],"here":[23],"a":[24,62,81,117],"new":[25,49,63,129],"definition":[26,38,50],"araucarias":[28,40,60,72],"is":[30,41],"more":[31],"constructive":[32],"we":[34,51,70,115],"prove":[35,102],"that":[36,89,104],"our":[37],"equivalent":[42],"to":[43,83,127],"original":[45],"one.":[46],"From":[47],"derive":[52],"an":[53,112,123],"optimal":[54],"algorithm":[55],"for":[56,65,119,132],"construction":[58],"method":[64],"calculating":[66],"their":[67,76],"size.":[68],"Moreover":[69,114],"characterize":[71],"properties":[74],"maximal":[77],"paths,":[78],"associating":[80],"capacity":[82,118],"every":[84,90,105,120],"edge.":[85],"then":[87],"show":[88],"araucaria":[91],"can":[92,108],"be":[93,109],"obtained":[94],"grafting":[96],"merging":[98],"smaller":[99],"araucarias.":[100,133],"also":[103],"directed":[106],"tree":[107],"embedded":[110],"araucaria.":[113],"define":[116],"vertex":[121],"araucaria,":[124],"leads":[126],"different":[128],"enumeration":[130],"formulas":[131]},"counts_by_year":[],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}