{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T14:47:18Z","timestamp":1764946038400,"version":"3.46.0"},"reference-count":18,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T00:00:00Z","timestamp":1769904000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,2,1]],"date-time":"2026-02-01T00:00:00Z","timestamp":1769904000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T00:00:00Z","timestamp":1758240000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11801447"],"award-info":[{"award-number":["11801447"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100021171","name":"Basic and Applied Basic Research Foundation of Guangdong Province","doi-asserted-by":"publisher","award":["2024A1515011276"],"award-info":[{"award-number":["2024A1515011276"]}],"id":[{"id":"10.13039\/501100021171","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[2026,2]]},"DOI":"10.1016\/j.dam.2025.09.017","type":"journal-article","created":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T11:10:03Z","timestamp":1758625803000},"page":"155-174","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Distribution of statistics on separable permutations restricted by a flat POP"],"prefix":"10.1016","volume":"380","author":[{"given":"Alice L.L.","family":"Gao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3324-1647","authenticated-orcid":false,"given":"Sergey","family":"Kitaev","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ya-Xing","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xuan","family":"Ruan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"5","key":"10.1016\/j.dam.2025.09.017_b1","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1112\/blms\/bdr022","article-title":"Subclasses of the separable permutations","volume":"43","author":"Albert","year":"2011","journal-title":"Bull. Lond. Math. Soc."},{"issue":"2","key":"10.1016\/j.dam.2025.09.017_b2","doi-asserted-by":"crossref","first-page":"#P2.2","DOI":"10.37236\/4797","article-title":"Equipopularity classes in the separable permutations","volume":"22","author":"Albert","year":"2015","journal-title":"Electron. J. Combin."},{"issue":"2","key":"10.1016\/j.dam.2025.09.017_b3","doi-asserted-by":"crossref","first-page":"#P2.49","DOI":"10.37236\/6115","article-title":"Unsplittable classes of separable permutations","volume":"23","author":"Albert","year":"2016","journal-title":"Electron. J. Combin."},{"issue":"5","key":"10.1016\/j.dam.2025.09.017_b4","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/S0020-0190(97)00209-3","article-title":"Pattern matching for permutations","volume":"65","author":"Bose","year":"1998","journal-title":"Inform. Process. Lett."},{"issue":"1","key":"10.1016\/j.dam.2025.09.017_b5","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/BF01533770","article-title":"Enumeration of up-down permutations by upper records","volume":"79","author":"Carlitz","year":"1975","journal-title":"Monatsh. Math."},{"key":"10.1016\/j.dam.2025.09.017_b6","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/j.dam.2024.05.004","article-title":"Distributions of statistics on separable permutations","volume":"355","author":"Chen","year":"2024","journal-title":"Discrete Appl. Math."},{"key":"10.1016\/j.dam.2025.09.017_b7","doi-asserted-by":"crossref","first-page":"23","DOI":"10.37236\/10484","article-title":"A combinatorial bijection on di-sk trees","volume":"28","author":"Fu","year":"2021","journal-title":"Electron. J. Combin."},{"key":"10.1016\/j.dam.2025.09.017_b8","doi-asserted-by":"crossref","first-page":"2877","DOI":"10.3934\/era.2021018","article-title":"Refined wilf-equivalences by Comtet statistics","volume":"29","author":"Fu","year":"2021","journal-title":"Electron. Res. Arch."},{"key":"10.1016\/j.dam.2025.09.017_b9","doi-asserted-by":"crossref","first-page":"2616","DOI":"10.1016\/j.disc.2018.06.010","article-title":"On two new unimodal descent polynomials","volume":"341","author":"Fu","year":"2018","journal-title":"Discr. Math."},{"issue":"1","key":"10.1016\/j.dam.2025.09.017_b10","first-page":"#S2R6.","article-title":"Tree enumeration polynomials on separable permutations","volume":"4","author":"Gao","year":"2024","journal-title":"Enumer. Comb. Appl."},{"issue":"1","key":"10.1016\/j.dam.2025.09.017_b11","first-page":"#4","article-title":"Joint distributions of statistics over permutations avoiding two patterns of length 3","volume":"26","author":"Han","year":"2024","journal-title":"Discret. Math. Theor. Comput. Sci."},{"key":"10.1016\/j.dam.2025.09.017_b12","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcta.2025.106034","article-title":"Distribution of maxima and minima statistics on alternating permutations, springer numbers, and avoidance of flat POP","volume":"213","author":"Han","year":"2025","journal-title":"J. Combin. Theory Ser. A"},{"year":"2011","series-title":"Patterns in Permutations and Words","author":"Kitaev","key":"10.1016\/j.dam.2025.09.017_b13"},{"key":"10.1016\/j.dam.2025.09.017_b14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.aam.2016.06.001","article-title":"On \u03b3-positive polynomials arising in pattern avoidance","volume":"82","author":"Lin","year":"2017","journal-title":"Adv. Appl. Math."},{"key":"10.1016\/j.dam.2025.09.017_b15","series-title":"String Processing and Information Retrieval","article-title":"Pattern matching for separable permutations","volume":"vol. 9954","author":"Neou","year":"2016"},{"key":"10.1016\/j.dam.2025.09.017_b16","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1016\/0012-365X(94)90242-9","article-title":"Forbidden subsequences","volume":"132","author":"Stankova","year":"1994","journal-title":"Discr. Math."},{"key":"10.1016\/j.dam.2025.09.017_b17","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1016\/j.jcta.2019.02.004","article-title":"The Eulerian distribution on involutions is indeed \u03b3-positive","volume":"165","author":"Wang","year":"2019","journal-title":"J. Combin. Theory Ser. A"},{"issue":"1\u20133","key":"10.1016\/j.dam.2025.09.017_b18","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/0012-365X(94)00067-1","article-title":"Generating trees and the catalan and Schr\u00f6der numbers","volume":"146","author":"West","year":"1995","journal-title":"Discr. Math."}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X2500544X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0166218X2500544X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T14:43:35Z","timestamp":1764945815000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0166218X2500544X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,2]]},"references-count":18,"alternative-id":["S0166218X2500544X"],"URL":"https:\/\/doi.org\/10.1016\/j.dam.2025.09.017","relation":{},"ISSN":["0166-218X"],"issn-type":[{"type":"print","value":"0166-218X"}],"subject":[],"published":{"date-parts":[[2026,2]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Distribution of statistics on separable permutations restricted by a flat POP","name":"articletitle","label":"Article Title"},{"value":"Discrete Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.dam.2025.09.017","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 The Author(s). Published by Elsevier B.V.","name":"copyright","label":"Copyright"}]}}