{"id":"https://openalex.org/W2553022497","doi":"https://doi.org/10.1007/978-3-662-53826-5_13","title":"Non-crossing Tree Realizations of Ordered Degree Sequences","display_name":"Non-crossing Tree Realizations of Ordered Degree Sequences","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2553022497","doi":"https://doi.org/10.1007/978-3-662-53826-5_13","mag":"2553022497"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-53826-5_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-53826-5_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/978-3-662-53826-5_13","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005886064","display_name":"Laurent M\u00e9hats","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Laurent M\u00e9hats","raw_affiliation_strings":["Coll\u00e8ge de Guinette, \u00c9tampes, France"],"affiliations":[{"raw_affiliation_string":"Coll\u00e8ge de Guinette, \u00c9tampes, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5106497188","display_name":"Lutz Stra\u00dfburger","orcid":"https://orcid.org/0000-0003-4661-6540"},"institutions":[{"id":"https://openalex.org/I4210126360","display_name":"Inria Saclay - \u00cele de France","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Lutz Stra\u00dfburger","raw_affiliation_strings":["Inria Saclay, Palaiseau, France"],"affiliations":[{"raw_affiliation_string":"Inria Saclay, Palaiseau, France","institution_ids":["https://openalex.org/I4210126360"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5106497188"],"corresponding_institution_ids":["https://openalex.org/I4210126360"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.4853,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.63969746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"211","last_page":"227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10126","display_name":"Logic, programming, and type systems","score":0.9847000241279602,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9690999984741211,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/catalan-number","display_name":"Catalan number","score":0.8169935941696167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6672598719596863},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.6519685983657837},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6409879326820374},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.541190505027771},{"id":"https://openalex.org/keywords/pascal","display_name":"Pascal (unit)","score":0.5359269976615906},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.49969053268432617},{"id":"https://openalex.org/keywords/tetrahedron","display_name":"Tetrahedron","score":0.44274356961250305},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42589902877807617},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21267738938331604},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10015556216239929},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06863933801651001}],"concepts":[{"id":"https://openalex.org/C43929256","wikidata":"https://www.wikidata.org/wiki/Q270513","display_name":"Catalan number","level":2,"score":0.8169935941696167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6672598719596863},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.6519685983657837},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6409879326820374},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.541190505027771},{"id":"https://openalex.org/C75608658","wikidata":"https://www.wikidata.org/wiki/Q44395","display_name":"Pascal (unit)","level":2,"score":0.5359269976615906},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.49969053268432617},{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.44274356961250305},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42589902877807617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21267738938331604},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10015556216239929},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06863933801651001},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-662-53826-5_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-53826-5_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01417567v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01417567","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://lacl.gforge.inria.fr/lacl-2016/","raw_type":"Conference papers"}],"best_oa_location":{"id":"doi:10.1007/978-3-662-53826-5_13","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-53826-5_13","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1679894682","https://openalex.org/W2009908753","https://openalex.org/W2010407999","https://openalex.org/W2010711075","https://openalex.org/W2041917765","https://openalex.org/W2060034273","https://openalex.org/W2078432227","https://openalex.org/W2079171825","https://openalex.org/W2086657489","https://openalex.org/W2102625227","https://openalex.org/W2117737141","https://openalex.org/W2126209209","https://openalex.org/W2148837681","https://openalex.org/W2152141013","https://openalex.org/W2328580899"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W588267724","https://openalex.org/W2057205169","https://openalex.org/W4297743441","https://openalex.org/W2952598754","https://openalex.org/W2026779193"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"investigate":[2],"the":[3,34,42],"enumeration":[4],"of":[5,9,44],"non-crossing":[6],"tree":[7],"realizations":[8],"integer":[10],"sequences,":[11],"and":[12,33],"we":[13],"consider":[14],"a":[15,26],"special":[16],"case":[17],"in":[18,46],"four":[19],"parameters,":[20],"that":[21,29],"can":[22],"be":[23],"seen":[24],"as":[25],"four-dimensional":[27],"tetrahedron":[28],"generalizes":[30],"Pascal\u2019s":[31],"triangle":[32],"Catalan":[35],"numbers.":[36],"This":[37],"work":[38],"is":[39],"motivated":[40],"by":[41],"study":[43],"ambiguities":[45],"categorial":[47],"grammars.":[48]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}