{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,7]],"date-time":"2026-10-07T12:47:36Z","timestamp":1791377256937,"version":"4.3.2"},"reference-count":28,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"1","funder":[{"DOI":"10.13039\/501100002729","name":"Anhui University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002729","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003410","name":"Department of Education, Fujian Province","doi-asserted-by":"publisher","award":["SJ2017-29"],"award-info":[{"award-number":["SJ2017-29"]}],"id":[{"id":"10.13039\/501100003410","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100011002","name":"National Natural Science Foundation of China-Yunnan Joint Fund","doi-asserted-by":"publisher","award":["11671088"],"award-info":[{"award-number":["11671088"]}],"id":[{"id":"10.13039\/501100011002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100011002","name":"National Natural Science Foundation of China-Yunnan Joint Fund","doi-asserted-by":"publisher","award":["11601380"],"award-info":[{"award-number":["11601380"]}],"id":[{"id":"10.13039\/501100011002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100011002","name":"National Natural Science Foundation of China-Yunnan Joint Fund","doi-asserted-by":"publisher","award":["12071002"],"award-info":[{"award-number":["12071002"]}],"id":[{"id":"10.13039\/501100011002","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Discrete Math."],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>Let $B_n^{(k)}$ be the book graph which consists of $n$ copies of $K_{k+1}$ all sharing a common $K_k$, and let $C_m$ be a cycle of length $m$. In this paper, we first determine the exact value of $r(B_n^{(2)}, C_m)$ for $\\frac{8}{9}n+112\\le m\\le \\lceil\\frac{3n}{2}\\rceil+1$ and $n \\geq 1000$. This answers a question of Faudree, Rousseau, and Sheehan [ Ars Combin., 31 (1991), pp. 239--248] in a stronger form when $m$ and $n$ are large. Building upon this exact result, we are able to determine the asymptotic value of $r(B_n^{(k)}, C_n)$ for each $k \\geq 3$. Namely, we prove that for each $k \\geq 3$, $r(B_n^{(k)}, C_n)= (k+1+o_k(1))n$. This extends a result due to Rousseau and Sheehan [ J. London Math. Soc., 18 (1978), pp. 392--396].<\/jats:p>","DOI":"10.1137\/21m1390566","type":"journal-article","created":{"date-parts":[[2021,3,23]],"date-time":"2021-03-23T11:16:36Z","timestamp":1616498196000},"page":"532-545","source":"Crossref","is-referenced-by-count":11,"title":["Large Book-Cycle Ramsey Numbers"],"prefix":"10.1137","volume":"35","author":[{"given":"Qizhong","family":"Lin","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xing","family":"Peng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2021,3,23]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1007\/s004930070001"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jctb.2008.12.002"},{"key":"atypb3","doi-asserted-by":"crossref","unstructured":"B. Bollob\u00e1s,\n                      Modern Graph Theory\n                      , Springer-Verlag, New York, 1998.","DOI":"10.1007\/978-1-4612-0619-4"},{"key":"atypb4","doi-asserted-by":"crossref","unstructured":"J. A. Bondy,\n                      Pancyclic graphs\n                      I, J. Combin. Theory Ser. B, 11 (1971), pp. 80-84.","DOI":"10.1016\/0095-8956(71)90016-5"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0118(199803)27:3<141::AID-JGT3>3.0.CO;2-O"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1007\/BF01788524"},{"key":"atypb7","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190010118"},{"key":"atypb8","first-page":"3","volume":"2019","author":"Conlon D.","year":"2019","journal-title":"Adv. Combin."},{"key":"atypb9","unstructured":"D. Conlon, J. Fox, and Y. Wigderson,\n                      Ramsey Numbers of Books and Quasirandomness\n                      , preprint,https:\/\/arxiv.org\/abs\/2001.00407, 2020."},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-2.1.69"},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1007\/BF02018930"},{"key":"atypb12","first-page":"111","volume":"1","author":"Erd\u00f6s P.","year":"1988","journal-title":"Sci. Ser. A Math. Sci."},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1007\/BF02024498"},{"key":"atypb14","first-page":"289","author":"Faudree R. J.","year":"1978","journal-title":"Boca Raton, FL"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(82)90037-4"},{"key":"atypb16","first-page":"239","volume":"31","author":"Faudree R. J.","year":"1991","journal-title":"Ars Combin."},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1007\/PL00001621"},{"key":"atypb18","first-page":"295","author":"Koml\u00f3s J.","year":"1996","journal-title":"Hungary"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2016.04.012"},{"key":"atypb20","doi-asserted-by":"crossref","unstructured":"T. \u0141uczak,\n                      $R(C_n,C_n,C_n)\\leq (4+o(1))n$\n                      , J. Combin. Theory Ser. B, 75 (1999), pp. 174-187.","DOI":"10.1006\/jctb.1998.1874"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.20071"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.20081"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1017\/S0963548305006929"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190020110"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-18.3.392"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejc.2009.07.004"},{"key":"atypb27","first-page":"399","author":"Szemer\u00e9di E.","year":"1978","journal-title":"France"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1016\/S0195-6698(82)80038-3"}],"container-title":["SIAM Journal on Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/21M1390566","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:19:40Z","timestamp":1787321980000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/21M1390566"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1137\/21M1390566"],"URL":"https:\/\/doi.org\/10.1137\/21m1390566","relation":{},"ISSN":["0895-4801","1095-7146"],"issn-type":[{"value":"0895-4801","type":"print"},{"value":"1095-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]}}}