{"id":"https://openalex.org/W2890572016","doi":"https://doi.org/10.1016/j.disc.2019.111722","title":"On the number of increasing trees with label repetitions","display_name":"On the number of increasing trees with label repetitions","publication_year":2019,"publication_date":"2019-11-14","ids":{"openalex":"https://openalex.org/W2890572016","doi":"https://doi.org/10.1016/j.disc.2019.111722","mag":"2890572016"},"language":"en","primary_location":{"id":"doi:10.1016/j.disc.2019.111722","doi":"https://doi.org/10.1016/j.disc.2019.111722","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.disc.2019.111722","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.1016/j.disc.2019.111722","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021750107","display_name":"Olivier Bodini","orcid":"https://orcid.org/0000-0002-1867-667X","observed_orcids":["https://orcid.org/0000-0002-1867-667X"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Bodini","raw_affiliation_strings":["Laboratoire d'Informatique de Paris\u2010Nord, CNRS UMR 7030, Institut Galil\u00e9e, Universit\u00e9 Paris\u2010Nord, 99 avenue Jean\u2010Baptiste Cl\u00e9ment, 93430 Villetaneuse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique de Paris\u2010Nord, CNRS UMR 7030, Institut Galil\u00e9e, Universit\u00e9 Paris\u2010Nord, 99 avenue Jean\u2010Baptiste Cl\u00e9ment, 93430 Villetaneuse, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210156583"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088215033","display_name":"Antoine Genitrini","orcid":"https://orcid.org/0000-0002-5480-0236","observed_orcids":["https://orcid.org/0000-0002-5480-0236"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Antoine Genitrini","raw_affiliation_strings":["Sorbonne Universit\u00e9, CNRS, Laboratoire d\u2019Informatique de Paris 6 -LIP6- UMR 7606, F-75005 Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, CNRS, Laboratoire d\u2019Informatique de Paris 6 -LIP6- UMR 7606, F-75005 Paris, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159731"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037333569","display_name":"Bernhard Gittenberger","orcid":"https://orcid.org/0000-0002-2639-8227","observed_orcids":["https://orcid.org/0000-0002-2639-8227"]},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Bernhard Gittenberger","raw_affiliation_strings":["Department of Discrete Mathematics and Geometry, Technische Universit\u00e4t Wien, Wiedner Hauptstra\u00dfe 8-10/104, 1040 Wien, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Discrete Mathematics and Geometry, Technische Universit\u00e4t Wien, Wiedner Hauptstra\u00dfe 8-10/104, 1040 Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025603313","display_name":"Stephan G. Wagner","orcid":"https://orcid.org/0000-0001-5533-2764","observed_orcids":["https://orcid.org/0000-0001-5533-2764"]},"institutions":[{"id":"https://openalex.org/I26092322","display_name":"Stellenbosch University","ror":"https://ror.org/05bk57929","country_code":"ZA","type":"education","lineage":["https://openalex.org/I26092322"]}],"countries":["ZA"],"is_corresponding":false,"raw_author_name":"Stephan Wagner","raw_affiliation_strings":["Department of Mathematical Sciences, Mathematics Division, Stellenbosch University, Private Bag X1, 7602, Matieland, South Africa"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Mathematics Division, Stellenbosch University, Private Bag X1, 7602, Matieland, South Africa","institution_ids":["https://openalex.org/I26092322"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5088215033"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159731"],"apc_list":{"value":1500,"currency":"USD","value_usd":1500},"apc_paid":null,"fwci":1.8704,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.81882132,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"343","issue":"8","first_page":"111722","last_page":"111722"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9990000128746033,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":9.999999747378752e-05,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/increasing-trees","display_name":"increasing trees","score":0.9869999885559082},{"id":"https://openalex.org/keywords/asymptotic-enumeration","display_name":"asymptotic enumeration","score":0.9300000071525574},{"id":"https://openalex.org/keywords/generating-functions","display_name":"generating functions","score":0.527999997138977},{"id":"https://openalex.org/keywords/borel-transform","display_name":"Borel transform","score":0.8289999961853027},{"id":"https://openalex.org/keywords/singularity-analysis","display_name":"singularity analysis","score":0.7829999923706055},{"id":"https://openalex.org/keywords/tauberian-theorems","display_name":"Tauberian theorems","score":0.9589999914169312},{"id":"https://openalex.org/keywords/differential-equations","display_name":"differential equations","score":0.6919999718666077},{"id":"https://openalex.org/keywords/exponential-growth-rate","display_name":"exponential growth rate","score":0.8790000081062317},{"id":"https://openalex.org/keywords/irrational-exponents","display_name":"irrational exponents","score":0.6460000276565552}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8435474634170532},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.6834074854850769},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.637822687625885},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.582282543182373},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5793097615242004},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5494269728660583},{"id":"https://openalex.org/C94931360","wikidata":"https://www.wikidata.org/wiki/Q607728","display_name":"Irrational number","level":2,"score":0.5020792484283447},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.4937170445919037},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46351397037506104},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.46100327372550964},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.43424269556999207},{"id":"https://openalex.org/C2781104640","wikidata":"https://www.wikidata.org/wiki/Q11827313","display_name":"Counting process","level":2,"score":0.429824560880661},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.4235667586326599},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.4207279086112976},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.393201619386673},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36723923683166504},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.36613965034484863},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34594225883483887},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3016608953475952},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27052295207977295},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.169985830783844},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/j.disc.2019.111722","doi":"https://doi.org/10.1016/j.disc.2019.111722","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.disc.2019.111722","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1809.04314","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1809.04314","pdf_url":"https://arxiv.org/pdf/1809.04314","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-02554861v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-02554861","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics, 2020, 343 (8), pp.111722. ⟨10.1016/j.disc.2019.111722⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:scholar.sun.ac.za:10019.1/125445","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10019.1/125445","pdf_url":null,"source":{"id":"https://openalex.org/S4306400300","display_name":"SUNScholar (Stellenbosch University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I26092322","host_organization_name":"Stellenbosch University","host_organization_lineage":["https://openalex.org/I26092322"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"doi:10.48550/arxiv.1809.04314","doi":"https://doi.org/10.48550/arxiv.1809.04314","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1809.04314","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1016/j.disc.2019.111722","doi":"https://doi.org/10.1016/j.disc.2019.111722","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.disc.2019.111722","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G235251219","display_name":null,"funder_award_id":"(SFB F50-03)","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G2549575712","display_name":null,"funder_award_id":"SFB F50","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G355598090","display_name":"Non conventional Analytic methods for Combinatorics","funder_award_id":"ANR-15-CE40-0014","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3743640176","display_name":null,"funder_award_id":"SFB F50-03","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3815100896","display_name":null,"funder_award_id":"96236","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2890572016.pdf","grobid_xml":"https://content.openalex.org/works/W2890572016.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W634226594","https://openalex.org/W2018919817","https://openalex.org/W2042313468","https://openalex.org/W2092844902","https://openalex.org/W2162244304","https://openalex.org/W2340541605","https://openalex.org/W2570132618","https://openalex.org/W2611364841","https://openalex.org/W2798225946","https://openalex.org/W2888034180","https://openalex.org/W2888788304","https://openalex.org/W3038019923","https://openalex.org/W3186940018","https://openalex.org/W4300073819"],"related_works":["https://openalex.org/W3036401212","https://openalex.org/W1563213005","https://openalex.org/W4308618461","https://openalex.org/W4386929682","https://openalex.org/W7095519886","https://openalex.org/W7096636130","https://openalex.org/W3209839277","https://openalex.org/W51263545","https://openalex.org/W2042313468","https://openalex.org/W2121897436"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2018-09-27T00:00:00"}