{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:05:48Z","timestamp":1740107148160,"version":"3.37.3"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2019,1,2]],"date-time":"2019-01-02T00:00:00Z","timestamp":1546387200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11701303","11431003"],"award-info":[{"award-number":["11701303","11431003"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11871363"],"award-info":[{"award-number":["11871363"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"K.C.Wong Magna Fund in Ningbo University"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[2019,3]]},"DOI":"10.1007\/s00373-018-2000-y","type":"journal-article","created":{"date-parts":[[2019,1,2]],"date-time":"2019-01-02T07:29:41Z","timestamp":1546414181000},"page":"373-392","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Two Orthogonal 4-Cycle-Free One-Factorizations of Complete Graphs"],"prefix":"10.1007","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3398-5443","authenticated-orcid":false,"given":"Jingjun","family":"Bao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lijun","family":"Ji","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2019,1,2]]},"reference":[{"key":"2000_CR1","first-page":"13","volume-title":"Contemporary Design Theory","author":"B Alspach","year":"1992","unstructured":"Alspach, B., Heinrich, K., Liu, G.: Orthogonal factorizations of graphs. In: Dinitz, J.H., Stinson, D.R. (eds.) Contemporary Design Theory, pp. 13\u201340. Wiley, New York (1992)"},{"key":"2000_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/jctb.2000.2016","volume":"82","author":"A Blokhuis","year":"2001","unstructured":"Blokhuis, A., Faudree, R., Gy\u00e1rf\u00e1s, A., Ruszink\u00f3, M.: Anti-ramsey colorings in several rounds. J. Combin. Theory B 82, 1\u201318 (2001)","journal-title":"J. Combin. Theory B"},{"key":"2000_CR3","doi-asserted-by":"crossref","unstructured":"Heinrich, K.: Latin squares with and without subsquares of prescribed type. In: Denes, J., Keedwell, A.D. (eds.) Latin Squares: New Developments in the Theory and Applications, Ann. Discrete Math. 46, pp. 101\u2013147. North-Holland, Amsterdam (1991)","DOI":"10.1016\/S0167-5060(08)70964-6"},{"key":"2000_CR4","doi-asserted-by":"publisher","first-page":"391","DOI":"10.2307\/2371217","volume":"57","author":"LE Dickson","year":"1935","unstructured":"Dickson, L.E.: Cyclotomy, higher congruences and Waring\u2019s problem. Am. J. Math 57, 391\u2013424 (1935)","journal-title":"Am. J. Math"},{"key":"2000_CR5","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1016\/j.ffa.2005.05.008","volume":"12","author":"JH Dinitz","year":"2006","unstructured":"Dinitz, J.H., Dukes, P.: On the structure of uniform one-factorizations from starters in finite fields. Finite Fields Appl. 12, 283\u2013300 (2006)","journal-title":"Finite Fields Appl."},{"key":"2000_CR6","doi-asserted-by":"crossref","unstructured":"Dinitz, J. H., Dukes, P., Stinson, D.R.: Sequentially perfect and uniform one-factorizations of the complete graph. Electron. J. Combin., 12, $$\\sharp $$ \u266f R1 (2005)","DOI":"10.37236\/1898"},{"key":"2000_CR7","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1007\/BF02190160","volume":"22","author":"JD Horton","year":"1981","unstructured":"Horton, J.D.: Room designs and one-factorizations. Aequ. Math. 22, 56\u201363 (1981)","journal-title":"Aequ. Math."},{"key":"2000_CR8","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1007\/BF01818519","volume":"7","author":"JD Horton","year":"1971","unstructured":"Horton, J.D.: Quintuplication of Room squares. Aequ. Math. 7, 243\u2013245 (1971)","journal-title":"Aequ. Math."},{"key":"2000_CR9","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1002\/jgt.3190090104","volume":"9","author":"E Mendelsohn","year":"1985","unstructured":"Mendelsohn, E., Rosa, A.: One-factorizations of the complete graph-a survey. J. Graph. Theory 9, 43\u201365 (1985)","journal-title":"J. Graph. Theory"},{"key":"2000_CR10","doi-asserted-by":"crossref","unstructured":"Meszka, M.: $$k$$ k -cycle free one-factorizations of complete graphs. Electron. J. Combin., 16, $$\\sharp $$ \u266f R3 (2009)","DOI":"10.37236\/92"},{"key":"2000_CR11","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1016\/S0021-9800(69)80022-0","volume":"7","author":"RC Mullin","year":"1969","unstructured":"Mullin, R.C., Nemeth, E.: A counterexample to a multiplicative construction of Room squares. J. Combin. Theory 7, 266\u2013272 (1969)","journal-title":"J. Combin. Theory"},{"key":"2000_CR12","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1016\/0012-365X(89)90364-6","volume":"77","author":"K Phelps","year":"1989","unstructured":"Phelps, K., Stinson, D.R., Vanstone, S.A.: The existence of simple $$S_3(3,4, v)$$ S 3 ( 3 , 4 , v ) . Discrete Math. 77, 255\u2013258 (1989)","journal-title":"Discrete Math."},{"key":"2000_CR13","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1016\/0097-3165(72)90096-9","volume":"12","author":"RG Stanton","year":"1972","unstructured":"Stanton, R.G., Horton, J.D.: A multiplication theorem for Room squares. J. Combin. Theory 12, 322\u2013325 (1972)","journal-title":"J. Combin. Theory"},{"key":"2000_CR14","doi-asserted-by":"publisher","first-page":"1540","DOI":"10.1214\/aoms\/1177698135","volume":"39","author":"RG Stanton","year":"1968","unstructured":"Stanton, R.G., Mullin, R.C.: Construction of Room squares. Ann. Math. Stat. 39, 1540\u20131548 (1968)","journal-title":"Ann. Math. Stat."},{"key":"2000_CR15","volume-title":"Cyclotomy and Difference Sets","author":"T Storer","year":"1967","unstructured":"Storer, T.: Cyclotomy and Difference Sets. Markham, Chicago (1967)"},{"key":"2000_CR16","first-page":"593","volume-title":"Contemporary Design Theory","author":"WD Wallis","year":"1992","unstructured":"Wallis, W.D.: One-factorizations of complete graphs. In: Dinitz, J.H., Stinson, D.R. (eds.) Contemporary Design Theory, pp. 593\u2013631. Wiley, New York (1992)"},{"key":"2000_CR17","first-page":"533","volume":"8","author":"WD Wallis","year":"1973","unstructured":"Wallis, W.D.: A Room square of size $$257$$ 257 . Congr. Numer. 8, 533 (1973)","journal-title":"Congr. Numer."}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00373-018-2000-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-018-2000-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-018-2000-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,21]],"date-time":"2020-11-21T09:59:19Z","timestamp":1605952759000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00373-018-2000-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1,2]]},"references-count":17,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["2000"],"URL":"https:\/\/doi.org\/10.1007\/s00373-018-2000-y","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"type":"print","value":"0911-0119"},{"type":"electronic","value":"1435-5914"}],"subject":[],"published":{"date-parts":[[2019,1,2]]},"assertion":[{"value":"7 March 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 December 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 January 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}