{"id":"https://openalex.org/W1552590858","doi":"https://doi.org/10.37236/4205","title":"Small Regular Graphs of Girth 7","display_name":"Small Regular Graphs of Girth 7","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1552590858","doi":"https://doi.org/10.37236/4205","mag":"1552590858"},"language":"en","primary_location":{"id":"doi:10.37236/4205","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4205","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p5/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p5/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063200142","display_name":"M. Abreu","orcid":"https://orcid.org/0000-0003-3992-1029"},"institutions":[{"id":"https://openalex.org/I20272500","display_name":"University of Basilicata","ror":"https://ror.org/03tc05689","country_code":"IT","type":"education","lineage":["https://openalex.org/I20272500"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"M. Abreu","raw_affiliation_strings":["Dipartimento di Matematica,\r\nInformatica ed Economia\r\nUniversit\u00e0 degli Studi della Basilicata\r\nViale dell'Ateneo Lucano,10\r\nI-85100 Potenza, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica,\r\nInformatica ed Economia\r\nUniversit\u00e0 degli Studi della Basilicata\r\nViale dell'Ateneo Lucano,10\r\nI-85100 Potenza, Italy","institution_ids":["https://openalex.org/I20272500"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066872246","display_name":"Gabriela Araujo\u2010Pardo","orcid":"https://orcid.org/0000-0003-3804-1855"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"G. Araujo-Pardo","raw_affiliation_strings":["Instituto de Matem\u00e1ticas\r\nCampus Juriquilla\r\nUniversidad Nacional Aut\u00f3noma de M\u00e9xico\r\nJuriquilla 76230\r\nQuer\u00e9taro, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas\r\nCampus Juriquilla\r\nUniversidad Nacional Aut\u00f3noma de M\u00e9xico\r\nJuriquilla 76230\r\nQuer\u00e9taro, M\u00e9xico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091011098","display_name":"C. Balbuena","orcid":"https://orcid.org/0000-0003-4190-4287"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"C. Balbuena","raw_affiliation_strings":["Departament de Matem\u00e1tica Aplicada III\r\nUniversitat Polit\u00e8cnica de Catalunya\r\nCampus Nord, Edifici C2\r\nC/ Jordi Girona 1-3\r\nE-08034 Barcelona, Spain.\r\n\r\nand\r\n\r\nMatem\u00e1ticas Aplicadas y Sistemas\r\nUniversidad Aut\u00f3noma Metropolitana\r\nunidad de Cuajimalpa\r\nAv. Vasco de Quiroga 4871,\r\nCol. Santa F\u00e9, Cuajimalpa,\r\nM\u00e9xico, D.F. 05348, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e1tica Aplicada III\r\nUniversitat Polit\u00e8cnica de Catalunya\r\nCampus Nord, Edifici C2\r\nC/ Jordi Girona 1-3\r\nE-08034 Barcelona, Spain.\r\n\r\nand\r\n\r\nMatem\u00e1ticas Aplicadas y Sistemas\r\nUniversidad Aut\u00f3noma Metropolitana\r\nunidad de Cuajimalpa\r\nAv. Vasco de Quiroga 4871,\r\nCol. Santa F\u00e9, Cuajimalpa,\r\nM\u00e9xico, D.F. 05348, M\u00e9xico","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000737515","display_name":"D. Labbate","orcid":"https://orcid.org/0000-0003-2597-7574"},"institutions":[{"id":"https://openalex.org/I20272500","display_name":"University of Basilicata","ror":"https://ror.org/03tc05689","country_code":"IT","type":"education","lineage":["https://openalex.org/I20272500"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"D. Labbate","raw_affiliation_strings":["Dipartimento di Matematica,\r\nInformatica ed Economia\r\nUniversit\u00e0 degli Studi della Basilicata\r\nViale dell'Ateneo Lucano,10\r\nI-85100 Potenza, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica,\r\nInformatica ed Economia\r\nUniversit\u00e0 degli Studi della Basilicata\r\nViale dell'Ateneo Lucano,10\r\nI-85100 Potenza, Italy","institution_ids":["https://openalex.org/I20272500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053911323","display_name":"Juli\u00e1n Salas","orcid":"https://orcid.org/0000-0003-1787-0654"},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universitat Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Salas","raw_affiliation_strings":["Departament d'Enginyeria\r\nInform\u00e0tica i Matem\u00e0tiques,\r\nUniversitat Rovira i Virgili,\r\nAv. Paisos Catalans, 26\r\n43007 Tarragona, Spain"],"affiliations":[{"raw_affiliation_string":"Departament d'Enginyeria\r\nInform\u00e0tica i Matem\u00e0tiques,\r\nUniversitat Rovira i Virgili,\r\nAv. Paisos Catalans, 26\r\n43007 Tarragona, Spain","institution_ids":["https://openalex.org/I55952717"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5063200142"],"corresponding_institution_ids":["https://openalex.org/I20272500"],"apc_list":null,"apc_paid":null,"fwci":1.3535,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74634023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"22","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998000264167786,"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/T10849","display_name":"Finite Group Theory Research","score":0.9998000264167786,"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/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8575458526611328},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8536452054977417},{"id":"https://openalex.org/keywords/girth","display_name":"Girth (graph theory)","score":0.7517181634902954},{"id":"https://openalex.org/keywords/prime-power","display_name":"Prime power","score":0.6715967655181885},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6070045232772827},{"id":"https://openalex.org/keywords/odd-graph","display_name":"Odd graph","score":0.550968587398529},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5220744013786316},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4628447890281677},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45637640357017517},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.2986903190612793},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.22334730625152588},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.07058006525039673},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.038644492626190186}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8575458526611328},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8536452054977417},{"id":"https://openalex.org/C2777434295","wikidata":"https://www.wikidata.org/wiki/Q959831","display_name":"Girth (graph theory)","level":2,"score":0.7517181634902954},{"id":"https://openalex.org/C174072685","wikidata":"https://www.wikidata.org/wiki/Q1667469","display_name":"Prime power","level":3,"score":0.6715967655181885},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6070045232772827},{"id":"https://openalex.org/C206815938","wikidata":"https://www.wikidata.org/wiki/Q7077445","display_name":"Odd graph","level":5,"score":0.550968587398529},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5220744013786316},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4628447890281677},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45637640357017517},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.2986903190612793},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.22334730625152588},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.07058006525039673},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.038644492626190186},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/4205","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4205","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p5/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:recercat.cat:2072/340330","is_oa":true,"landing_page_url":"http://hdl.handle.net/2117/86686","pdf_url":null,"source":{"id":"https://openalex.org/S4306402147","display_name":"RECERCAT (Consorci de Serveis Universitaris de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210090028","host_organization_name":"Consorci de Serveis Universitaris de Catalunya","host_organization_lineage":["https://openalex.org/I4210090028"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:iris.unibas.it:11563/61500","is_oa":false,"landing_page_url":"http://hdl.handle.net/11563/61500","pdf_url":null,"source":{"id":"https://openalex.org/S4377196360","display_name":"CINECA IRIS Institutional Research Information System (University of Basilicata)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20272500","host_organization_name":"University of Basilicata","host_organization_lineage":["https://openalex.org/I20272500"],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:upcommons.upc.edu:2117/86686","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/86686","pdf_url":null,"source":{"id":"https://openalex.org/S4210207057","display_name":"QRU Quaderns de Recerca en Urbanisme","issn_l":"2014-9689","issn":["2014-9689","2385-6777"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310322448","host_organization_name":"Q71272178","host_organization_lineage":["https://openalex.org/P4310322448"],"host_organization_lineage_names":["Q71272178"],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.37236/4205","is_oa":true,"landing_page_url":"https://doi.org/10.37236/4205","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p5/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2005406521","display_name":null,"funder_award_id":"MTM2014-60127-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G2573627744","display_name":null,"funder_award_id":"GNSAGA","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G2631452109","display_name":null,"funder_award_id":"(ERDF)","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G3830323789","display_name":null,"funder_award_id":"INdAM","funder_id":"https://openalex.org/F4320334045","funder_display_name":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni"},{"id":"https://openalex.org/G5883786225","display_name":null,"funder_award_id":"60% project","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"},{"id":"https://openalex.org/G7292402722","display_name":null,"funder_award_id":"MTM2014-60127-P","funder_id":"https://openalex.org/F4320335322","funder_display_name":"European Regional Development Fund"},{"id":"https://openalex.org/G7698256304","display_name":null,"funder_award_id":"GNSAGA","funder_id":"https://openalex.org/F4320321873","funder_display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca"}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320334045","display_name":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni","ror":null},{"id":"https://openalex.org/F4320335322","display_name":"European Regional Development Fund","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1552590858.pdf","grobid_xml":"https://content.openalex.org/works/W1552590858.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W180810406","https://openalex.org/W603657711","https://openalex.org/W1486292460","https://openalex.org/W1515707356","https://openalex.org/W1565087095","https://openalex.org/W1583183878","https://openalex.org/W1964104809","https://openalex.org/W1965501765","https://openalex.org/W1967264799","https://openalex.org/W1969237081","https://openalex.org/W1992797912","https://openalex.org/W1996064995","https://openalex.org/W1999534475","https://openalex.org/W2012280556","https://openalex.org/W2026167665","https://openalex.org/W2040452405","https://openalex.org/W2065976042","https://openalex.org/W2066462456","https://openalex.org/W2083532453","https://openalex.org/W2096078621","https://openalex.org/W2122119099","https://openalex.org/W2124506101","https://openalex.org/W2125732536","https://openalex.org/W2135056220","https://openalex.org/W2137347071","https://openalex.org/W2157833877","https://openalex.org/W2163963758","https://openalex.org/W2479778494","https://openalex.org/W2538129931","https://openalex.org/W2580476827","https://openalex.org/W2611093227","https://openalex.org/W2742040242","https://openalex.org/W2949505588","https://openalex.org/W3146758888","https://openalex.org/W4241138392","https://openalex.org/W4253659528","https://openalex.org/W6641352932","https://openalex.org/W6666954316","https://openalex.org/W6678855824","https://openalex.org/W6680298218","https://openalex.org/W6684073700","https://openalex.org/W6728302405","https://openalex.org/W6742206600"],"related_works":["https://openalex.org/W2543275399","https://openalex.org/W4380141713","https://openalex.org/W2972938938","https://openalex.org/W1969615181","https://openalex.org/W1998402533","https://openalex.org/W2069443110","https://openalex.org/W2292792029","https://openalex.org/W1488300609","https://openalex.org/W2949505588","https://openalex.org/W1552590858"],"abstract_inverted_index":{"In":[0],"this":[1,92],"paper,":[2],"we":[3],"construct":[4],"new":[5,56],"infinite":[6],"families":[7],"of":[8,11,14,29,48,62,77],"regular":[9],"graphs":[10,61],"girth":[12,63],"7":[13,64],"smallest":[15],"order":[16,66,78],"known":[17],"so":[18],"far.":[19],"Our":[20],"constructions":[21],"are":[22],"based":[23],"on":[24,94],"combinatorial":[25],"and":[26,42,65,76],"geometric":[27],"properties":[28],"$(q+1,8)$-cages,":[30],"for":[31,68,80],"$q$":[32],"a":[33],"prime":[34,71,83],"power.":[35],"We":[36,58],"remove":[37],"vertices":[38,47],"from":[39],"such":[40],"cages":[41],"add":[43],"matchings":[44],"among":[45],"the":[46,55],"minimum":[49],"degree":[50],"to":[51,91],"achieve":[52],"regularity":[53],"in":[54],"graphs.":[57],"obtain":[59],"$(q+1)$-regular":[60],"$2q^3+q^2+2q$":[67],"each":[69,81],"even":[70],"power":[72,84],"$q":[73],"\\ge":[74],"4$,":[75],"$2q^3+2q^2-q+1$":[79],"odd":[82],"$q\\ge":[85],"5$.":[86],"A":[87],"corrigendum":[88],"was":[89],"added":[90],"paper":[93],"21":[95],"June":[96],"2016.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}