{"id":"https://openalex.org/W2002316137","doi":"https://doi.org/10.1016/s0012-365x(99)00197-1","title":"Rooted maps on orientable surfaces, Riccati's equation and continued fractions","display_name":"Rooted maps on orientable surfaces, Riccati's equation and continued fractions","publication_year":2000,"publication_date":"2000-03-01","ids":{"openalex":"https://openalex.org/W2002316137","doi":"https://doi.org/10.1016/s0012-365x(99)00197-1","mag":"2002316137"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(99)00197-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(99)00197-1","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,"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"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00693781/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030443774","display_name":"Didier Arqu\u00e8s","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Didier Arqu\u00e8s","raw_affiliation_strings":["Institut Gaspard Monge, Universit\u00e9 de Marne la Vall\u00e9e, 5 boulevard Descartes, Champs sur Marne, 77454 Marne la Vall\u00e9e Cedex 2, France","Institut Gaspard-Monge, Universit\u00e9 de Marne-la-Vall\u00e9e, 5, boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vall\u00e9e cedex 2, France"],"affiliations":[{"raw_affiliation_string":"Institut Gaspard Monge, Universit\u00e9 de Marne la Vall\u00e9e, 5 boulevard Descartes, Champs sur Marne, 77454 Marne la Vall\u00e9e Cedex 2, France","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Institut Gaspard-Monge, Universit\u00e9 de Marne-la-Vall\u00e9e, 5, boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vall\u00e9e cedex 2, France","institution_ids":["https://openalex.org/I4210152518"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044808006","display_name":"Jean-Fran\u00e7ois B\u00e9raud","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Fran\u00e7ois B\u00e9raud","raw_affiliation_strings":["Institut Gaspard Monge, Universit\u00e9 de Marne la Vall\u00e9e, 5 boulevard Descartes, Champs sur Marne, 77454 Marne la Vall\u00e9e Cedex 2, France","Institut Gaspard-Monge, Universit\u00e9 de Marne-la-Vall\u00e9e, 5, boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vall\u00e9e cedex 2, France"],"affiliations":[{"raw_affiliation_string":"Institut Gaspard Monge, Universit\u00e9 de Marne la Vall\u00e9e, 5 boulevard Descartes, Champs sur Marne, 77454 Marne la Vall\u00e9e Cedex 2, France","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Institut Gaspard-Monge, Universit\u00e9 de Marne-la-Vall\u00e9e, 5, boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vall\u00e9e cedex 2, France","institution_ids":["https://openalex.org/I4210152518"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044808006"],"corresponding_institution_ids":["https://openalex.org/I4210152518"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":1.4153,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.82151487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"215","issue":"1-3","first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9968000054359436,"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":0.9958999752998352,"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/mathematics","display_name":"Mathematics","score":0.8976700901985168},{"id":"https://openalex.org/keywords/generating-function","display_name":"Generating function","score":0.7781206965446472},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.7568901777267456},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.6153212785720825},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.6009824275970459},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5836961269378662},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.5588652491569519},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4841340482234955},{"id":"https://openalex.org/keywords/functional-equation","display_name":"Functional equation","score":0.4583439826965332},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4510764479637146},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4489820599555969},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.42103704810142517},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4100794494152069},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35769569873809814},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3276939392089844}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8976700901985168},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.7781206965446472},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.7568901777267456},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.6153212785720825},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.6009824275970459},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5836961269378662},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.5588652491569519},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4841340482234955},{"id":"https://openalex.org/C153576954","wikidata":"https://www.wikidata.org/wiki/Q594452","display_name":"Functional equation","level":3,"score":0.4583439826965332},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4510764479637146},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4489820599555969},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.42103704810142517},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4100794494152069},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35769569873809814},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3276939392089844},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0012-365x(99)00197-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(99)00197-1","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,"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:HAL:hal-00693781v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00693781","pdf_url":"https://hal.science/hal-00693781/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics, 2000, 215 (1-3), pp.1-12. &#x27E8;10.1016/S0012-365X(99)00197-1&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00693781v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00693781","pdf_url":"https://hal.science/hal-00693781/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics, 2000, 215 (1-3), pp.1-12. &#x27E8;10.1016/S0012-365X(99)00197-1&#x27E9;","raw_type":"Journal articles"},"sustainable_development_goals":[{"display_name":"Life in Land","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2002316137.pdf","grobid_xml":"https://content.openalex.org/works/W2002316137.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1504035215","https://openalex.org/W1579444899","https://openalex.org/W1582482914","https://openalex.org/W1985775722","https://openalex.org/W2001929091","https://openalex.org/W2004391125","https://openalex.org/W2006684364","https://openalex.org/W2013871685","https://openalex.org/W2021355739","https://openalex.org/W2032537315","https://openalex.org/W2046268156","https://openalex.org/W2065211664","https://openalex.org/W2149293266","https://openalex.org/W2157005274","https://openalex.org/W2335493803","https://openalex.org/W3119264854","https://openalex.org/W4213106768","https://openalex.org/W4214637200"],"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/W2013740965","https://openalex.org/W588267724","https://openalex.org/W1982980084","https://openalex.org/W2024532720","https://openalex.org/W2060384284"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
