{"id":"https://openalex.org/W4408444195","doi":"https://doi.org/10.5070/c65165020","title":"Continued fractions using a Laguerre digraph interpretation of the Foata-Zeilberger bijection and its variants","display_name":"Continued fractions using a Laguerre digraph interpretation of the Foata-Zeilberger bijection and its variants","publication_year":2025,"publication_date":"2025-03-14","ids":{"openalex":"https://openalex.org/W4408444195","doi":"https://doi.org/10.5070/c65165020"},"language":"en","primary_location":{"id":"doi:10.5070/c65165020","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65165020","pdf_url":"https://escholarship.org/content/qt35r6q8zv/qt35r6q8zv.pdf?t=st3z47","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://escholarship.org/content/qt35r6q8zv/qt35r6q8zv.pdf?t=st3z47","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009987011","display_name":"Bishal Deb","orcid":"https://orcid.org/0000-0001-5345-1751"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bishal Deb","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009987011"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05555556,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9878000020980835,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9854999780654907,"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/bijection","display_name":"Bijection","score":0.8749761581420898},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.7826102375984192},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5737404227256775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3810715675354004},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3561957776546478},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.2116716206073761},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.09567296504974365}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.8749761581420898},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.7826102375984192},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5737404227256775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3810715675354004},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3561957776546478},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2116716206073761},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.09567296504974365}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5070/c65165020","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65165020","pdf_url":"https://escholarship.org/content/qt35r6q8zv/qt35r6q8zv.pdf?t=st3z47","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt35r6q8zv","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/35r6q8zv","pdf_url":"https://escholarship.org/content/qt35r6q8zv/qt35r6q8zv.pdf","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorial Theory, vol 5, iss 1","raw_type":"article"},{"id":"pmh:doi:10.5070/C65165020","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S7407050878","display_name":"California Digital Library","issn_l":null,"issn":[],"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":null,"raw_type":"Text/journal article"}],"best_oa_location":{"id":"doi:10.5070/c65165020","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65165020","pdf_url":"https://escholarship.org/content/qt35r6q8zv/qt35r6q8zv.pdf?t=st3z47","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6876561401","display_name":null,"funder_award_id":"ANR-18","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G699481650","display_name":null,"funder_award_id":"ANR-18-CE40-0033","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320286","display_name":"University College London","ror":"https://ror.org/02jx3x895"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320336886","display_name":"Department of Mathematics, University College London","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4408444195.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4288805235","https://openalex.org/W2952259524","https://openalex.org/W2038088825","https://openalex.org/W1975203667","https://openalex.org/W1508013399","https://openalex.org/W2995857455","https://openalex.org/W2370328482","https://openalex.org/W4287882779","https://openalex.org/W2063982045"],"abstract_inverted_index":{"In":[0,62],"the":[1,7,67,112,136,159],"combinatorial":[2],"theory":[3],"of":[4,72,114,138,147,161],"continued":[5,20,89,101,123,176],"fractions,":[6],"Foata-Zeilberger":[8,68,178],"bijection":[9,69],"and":[10,35,41,57,96,99,128,140,142,149,151],"its":[11],"variants":[12],"have":[13],"been":[14],"extensively":[15],"used":[16],"to":[17,78,119,126],"derive":[18],"various":[19],"fractions":[21,90,102,124],"enumerating":[22,94,106],"several":[23],"(sometimes":[24],"infinitely":[25],"many)":[26],"simultaneous":[27],"statistics":[28],"on":[29],"permutations":[30],"(combinatorial":[31,37],"model":[32,38],"for":[33,39,91,103],"factorials)":[34],"D-permutations":[36],"Genocchi":[40,43],"median":[42],"numbers).":[44],"A":[45],"Laguerre":[46,73,191],"digraph":[47,50],"is":[48],"a":[49],"in":[51,70,81,108,132,135,155,158],"which":[52,75],"each":[53],"vertex":[54],"has":[55],"in-":[56],"out-degrees":[58],"\\(0\\)":[59],"or":[60],"\\(1\\).":[61],"this":[63,84],"paper,":[64],"we":[65,86],"interpret":[66],"terms":[71],"digraphs,":[74],"enables":[76,117],"us":[77,118],"count":[79],"cycles":[80],"permutations.":[82],"Using":[83],"interpretation,":[85],"obtain":[87],"Jacobi-type":[88],"multivariate":[92,104],"polynomials":[93,105],"permutations,":[95,139],"also":[97],"Thron-type":[98],"Stieltjes-type":[100],"D-permutations,":[107,175],"both":[109],"cases":[110],"including":[111],"counting":[113],"cycles.":[115],"This":[116],"prove":[120],"some":[121],"conjectured":[122],"due":[125],"Sokal":[127,152],"Zeng":[129,143],"(2022":[130],"Advances":[131,154],"Applied":[133,156],"Mathematics)":[134,157],"case":[137,160],"Randrianarivony":[141],"(1996":[144],"Electronic":[145],"Journal":[146],"Combinatorics)":[148],"Deb":[150],"(2024":[153],"D-permutations.Mathematics":[162],"Subject":[163],"Classifications:":[164],"05A19":[165],"(Primary);":[166],"05A05,":[167],"05A10,":[168],"05A15,":[169],"05A30,":[170],"11B68,":[171],"30B70":[172],"(Secondary).Keywords:":[173],"Permutations,":[174],"fraction,":[177],"bijection,":[179],"S-fraction,":[180],"J-fraction,":[181],"T-fraction,":[182],"Dyck":[183],"path,":[184,186,188,190],"almost-Dyck":[185],"Motzkin":[187],"Schr\u00f6der":[189],"digraphs":[192]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}