{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,2]],"date-time":"2024-07-02T17:33:35Z","timestamp":1719941615517},"reference-count":29,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,8,1]],"date-time":"2022-08-01T00:00:00Z","timestamp":1659312000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["European Journal of Combinatorics"],"published-print":{"date-parts":[[2022,8]]},"DOI":"10.1016\/j.ejc.2022.103547","type":"journal-article","created":{"date-parts":[[2022,4,27]],"date-time":"2022-04-27T16:03:58Z","timestamp":1651075438000},"page":"103547","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":1,"special_numbering":"C","title":["Integer colorings with no rainbow k<\/mml:mi><\/mml:math>-term arithmetic progression"],"prefix":"10.1016","volume":"104","author":[{"given":"Hao","family":"Lin","sequence":"first","affiliation":[]},{"given":"Guanghui","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Wenling","family":"Zhou","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"2","key":"10.1016\/j.ejc.2022.103547_b1","first-page":"212","article-title":"Beweis einer baudetschen vermutung","volume":"15","author":"van\u00a0der Waerden","year":"1927","journal-title":"Nieuw Arch. Wiskd., II. Ser."},{"issue":"4","key":"10.1016\/j.ejc.2022.103547_b2","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1112\/jlms\/s1-11.4.261","article-title":"On some sequences of integers","volume":"11","author":"Erd\u0151s","year":"1936","journal-title":"J. Lond. Math. Soc."},{"key":"10.1016\/j.ejc.2022.103547_b3","doi-asserted-by":"crossref","first-page":"199","DOI":"10.4064\/aa-27-1-199-245","article-title":"On sets of integers containing no k elements in arithmetic progression","volume":"27","author":"Szemer\u00e9di","year":"1975","journal-title":"Acta Arith."},{"issue":"4","key":"10.1016\/j.ejc.2022.103547_b4","first-page":"595","article-title":"Rainbow arithmetic progressions","volume":"7","author":"Butler","year":"2016","journal-title":"J. Comb."},{"issue":"5\u20136","key":"10.1016\/j.ejc.2022.103547_b5","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1017\/S096354830300587X","article-title":"Rainbow arithmetic progressions and anti-Ramsey results","volume":"12","author":"Jungi\u0107","year":"2003","journal-title":"Combin. Probab. Comput."},{"key":"10.1016\/j.ejc.2022.103547_b6","unstructured":"P. Erd\u0151s, Some new applications of probability methods to combinatorial analysis and graph theory, in: Proceedings of the Fifth Southeastern Conference on Combinatorics, Graph Theory and Computing, 1974, pp. 39\u201351."},{"issue":"2","key":"10.1016\/j.ejc.2022.103547_b7","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1112\/S0024610704005563","article-title":"The number of edge colorings with no monochromatic cliques","volume":"70","author":"Alon","year":"2004","journal-title":"J. Lond. Math. Soc. (2)"},{"issue":"4","key":"10.1016\/j.ejc.2022.103547_b8","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1016\/j.ejc.2004.12.004","article-title":"A remark on the number of edge colorings of graphs","volume":"27","author":"Balogh","year":"2006","journal-title":"European J. Combin."},{"key":"10.1016\/j.ejc.2022.103547_b9","doi-asserted-by":"crossref","first-page":"354","DOI":"10.1016\/j.ejc.2013.06.027","article-title":"Edge-colorings of graphs avoiding fixed monochromatic subgraphs with linear tur\u00e1n number","volume":"35","author":"Hoppen","year":"2014","journal-title":"European J. Combin."},{"issue":"2","key":"10.1016\/j.ejc.2022.103547_b10","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1017\/S0305004116001031","article-title":"The erd\u0151s-rothschild problem on edge-colourings with forbidden monochromatic cliques","volume":"163","author":"Pikhurko","year":"2017","journal-title":"Math. Proc. Cambridge Philos. Soc."},{"issue":"1","key":"10.1016\/j.ejc.2022.103547_b11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1002\/jgt.21653","article-title":"Exact results on the number of restricted edge colorings for some families of linear hypergraphs","volume":"73","author":"Lefmann","year":"2013","journal-title":"J. Graph Theory"},{"key":"10.1016\/j.ejc.2022.103547_b12","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/j.ejc.2017.12.006","article-title":"Colourings without monochromatic disjoint pairs","volume":"70","author":"Clemens","year":"2018","journal-title":"European J. Combin."},{"key":"10.1016\/j.ejc.2022.103547_b13","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1016\/j.jcta.2019.05.014","article-title":"Colouring set families without monochromatic k-chains","volume":"168","author":"Das","year":"2019","journal-title":"J. Combin. Theory Ser. A"},{"issue":"2","key":"10.1016\/j.ejc.2022.103547_b14","doi-asserted-by":"crossref","first-page":"505","DOI":"10.1007\/s11856-018-1705-1","article-title":"Maximum number of sum-free colorings in finite abelian groups","volume":"226","author":"H\u00e0n","year":"2018","journal-title":"Israel J. Math."},{"issue":"1","key":"10.1016\/j.ejc.2022.103547_b15","doi-asserted-by":"crossref","first-page":"35","DOI":"10.37236\/8824","article-title":"On the maximum number of integer colourings with forbidden monochromatic sums","volume":"28","author":"Liu","year":"2021","journal-title":"Electron. J. Combin."},{"issue":"4","key":"10.1016\/j.ejc.2022.103547_b16","doi-asserted-by":"crossref","first-page":"2416","DOI":"10.1137\/19M1253344","article-title":"The typical structure of gallai colorings and their extremal graphs","volume":"33","author":"Balogh","year":"2019","journal-title":"SIAM J. Discrete Math."},{"key":"10.1016\/j.ejc.2022.103547_b17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jctb.2019.12.004","article-title":"The number of gallai k-colorings of complete graphs","volume":"144","author":"Bastos","year":"2020","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/j.ejc.2022.103547_b18","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1016\/j.ejc.2017.06.022","article-title":"On graphs with a large number of edge-colorings avoiding a rainbow triangle","volume":"66","author":"Hoppen","year":"2017","journal-title":"European J. Combin."},{"issue":"4","key":"10.1016\/j.ejc.2022.103547_b19","doi-asserted-by":"crossref","first-page":"2647","DOI":"10.1137\/16M1098139","article-title":"A rainbow Erd\u0151s-Rothschild problem","volume":"31","author":"Hoppen","year":"2017","journal-title":"SIAM J. Discrete Math."},{"key":"10.1016\/j.ejc.2022.103547_b20","series-title":"Integer colorings with forbidden rainbow sums","author":"Cheng","year":"2020"},{"key":"10.1016\/j.ejc.2022.103547_b21","series-title":"Integer colorings with no rainbow 3-term arithmetic progression","author":"Li","year":"2021"},{"issue":"3","key":"10.1016\/j.ejc.2022.103547_b22","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1112\/jlms\/s1-34.3.358","article-title":"On certain sets of positive density","volume":"1","author":"Varnavides","year":"1959","journal-title":"J. Lond. Math. Soc."},{"issue":"6","key":"10.1016\/j.ejc.2022.103547_b23","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1070\/RM2006v061n06ABEH004370","article-title":"Szemer\u00e9di\u2019s theorem and problems on arithmetic progressions","volume":"61","author":"Shkredov","year":"2006","journal-title":"Russian Math. Surveys"},{"issue":"3","key":"10.1016\/j.ejc.2022.103547_b24","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1090\/S0894-0347-2014-00816-X","article-title":"Independent sets in hypergraphs","volume":"28","author":"Balogh","year":"2015","journal-title":"J. Amer. Math. Soc."},{"issue":"3","key":"10.1016\/j.ejc.2022.103547_b25","doi-asserted-by":"crossref","first-page":"925","DOI":"10.1007\/s00222-014-0562-8","article-title":"Hypergraph containers","volume":"201","author":"Saxton","year":"2015","journal-title":"Invent. Math."},{"issue":"4","key":"10.1016\/j.ejc.2022.103547_b26","doi-asserted-by":"crossref","first-page":"676","DOI":"10.1002\/rsa.20777","article-title":"Multicolor containers, extremal entropy, and counting","volume":"54","author":"Falgas-Ravry","year":"2019","journal-title":"Random Struct. Algorithms"},{"issue":"2","key":"10.1016\/j.ejc.2022.103547_b27","doi-asserted-by":"crossref","first-page":"333","DOI":"10.4007\/annals.2016.184.2.1","article-title":"Extremal results for random discrete structures","volume":"184","author":"Schacht","year":"2016","journal-title":"Ann. of Math. (2)"},{"issue":"2","key":"10.1016\/j.ejc.2022.103547_b28","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1016\/0097-3165(88)90020-9","article-title":"Quantitative theorems for regular systems of equations","volume":"47","author":"Frankl","year":"1988","journal-title":"J. Combin. Theory Ser. A"},{"key":"10.1016\/j.ejc.2022.103547_b29","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1112\/jlms\/s1-16.4.212","article-title":"On a problem of Sidon in additive number theory, and on some related problems","volume":"16","author":"Erd\u00f6s","year":"1941","journal-title":"J. Lond. Math. Soc."}],"container-title":["European Journal of Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0195669822000439?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0195669822000439?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,1,13]],"date-time":"2023-01-13T20:02:50Z","timestamp":1673640170000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0195669822000439"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8]]},"references-count":29,"alternative-id":["S0195669822000439"],"URL":"https:\/\/doi.org\/10.1016\/j.ejc.2022.103547","relation":{},"ISSN":["0195-6698"],"issn-type":[{"value":"0195-6698","type":"print"}],"subject":[],"published":{"date-parts":[[2022,8]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Integer colorings with no rainbow -term arithmetic progression","name":"articletitle","label":"Article Title"},{"value":"European Journal of Combinatorics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ejc.2022.103547","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2022 Elsevier Ltd. All rights reserved.","name":"copyright","label":"Copyright"}],"article-number":"103547"}}