{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,17]],"date-time":"2026-08-17T15:20:44Z","timestamp":1786980044921,"version":"3.56.0"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,12,15]],"date-time":"2021-12-15T00:00:00Z","timestamp":1639526400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,12,15]],"date-time":"2021-12-15T00:00:00Z","timestamp":1639526400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100004488","name":"hrvatska zaklada za znanost","doi-asserted-by":"publisher","award":["6732"],"award-info":[{"award-number":["6732"]}],"id":[{"id":"10.13039\/501100004488","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004488","name":"hrvatska zaklada za znanost","doi-asserted-by":"publisher","award":["5713"],"award-info":[{"award-number":["5713"]}],"id":[{"id":"10.13039\/501100004488","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[2022,2]]},"DOI":"10.1007\/s00373-021-02440-4","type":"journal-article","created":{"date-parts":[[2021,12,20]],"date-time":"2021-12-20T09:11:40Z","timestamp":1639991500000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["New Constructions of Divisible Design Cayley Graphs"],"prefix":"10.1007","volume":"38","author":[{"given":"Dean","family":"Crnkovi\u0107","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6558-5167","authenticated-orcid":false,"given":"Andrea","family":"\u0160vob","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,12,15]]},"reference":[{"key":"2440_CR1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139507660","volume-title":"Design Theory","author":"T Beth","year":"1999","unstructured":"Beth, T., Jungnickel, D., Lenz, H.: Design Theory, 2nd edn. Cambridge University Press, Cambridge (1999)","edition":"2"},{"key":"2440_CR2","unstructured":"Bosma, W., Cannon, J.\u00a0Handbook of Magma Functions, Department of Mathematics, University of Sydney (1994). http:\/\/magma.maths.usyd.edu.au\/magma"},{"key":"2440_CR3","volume-title":"Atlas of Finite Groups","author":"JH Conway","year":"1985","unstructured":"Conway, J.H., Curtis, R.T., Norton, S.P., Parker, R.A., Wilson, R.A., Thackray, J.G.: Atlas of Finite Groups. Clarendon Press, Oxford (1985)"},{"key":"2440_CR4","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1007\/s10623-013-9861-0","volume":"72","author":"D Crnkovi\u0107","year":"2014","unstructured":"Crnkovi\u0107, D., Haemers, W.H.: Walk-regular divisible design graphs. Des. Codes Cryptogr. 72, 165\u2013175 (2014)","journal-title":"Des. Codes Cryptogr."},{"issue":"111784","key":"2440_CR5","first-page":"8","volume":"343","author":"D Crnkovi\u0107","year":"2020","unstructured":"Crnkovi\u0107, D., Kharaghani, H., \u0160vob, A.: Divisible design Cayley digraphs. Discret. Math. 343(111784), 8 (2020)","journal-title":"Discret. Math."},{"key":"2440_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-53622-3","volume-title":"Graph Theory","author":"R Diestel","year":"2017","unstructured":"Diestel, R.: Graph Theory, 5th edn. Springer, Berlin (2017)","edition":"5"},{"key":"2440_CR7","doi-asserted-by":"publisher","first-page":"978","DOI":"10.1016\/j.jcta.2010.10.003","volume":"118","author":"WH Haemers","year":"2011","unstructured":"Haemers, W.H., Kharaghani, H., Meulenberg, M.: Divisible design graphs. J. Combin. Theory Ser. A 118, 978\u2013992 (2011)","journal-title":"J. Combin. Theory Ser. A"},{"key":"2440_CR8","first-page":"9","volume":"4","author":"VV Kabanov","year":"2021","unstructured":"Kabanov, V.V., Shalaginov, L.: On divisible design Cayley graphs. Art Discret. Appl. Math. 4, 9 (2021)","journal-title":"Art Discret. Appl. Math."},{"key":"2440_CR9","unstructured":"Panasenko, D., \u00a0Shalaginov, L. Classification of divisible design graphs with at most 39 vertices. arXiv:2109.12805 (preprint)"},{"key":"2440_CR10","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8594-1","volume-title":"A Course in the Theory of Groups","author":"D Robinson","year":"1996","unstructured":"Robinson, D.: A Course in the Theory of Groups. Springer-Verlag, New York (1996)"},{"key":"2440_CR11","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1007\/BF01117497","volume":"120","author":"A Rudvalis","year":"1971","unstructured":"Rudvalis, A.: $$(v, k, \\lambda )$$-graphs and polarities of $$(v, k, \\lambda )$$-designs. Math. Z. 120, 224\u2013230 (1971)","journal-title":"Math. Z."},{"key":"2440_CR12","doi-asserted-by":"publisher","first-page":"800","DOI":"10.1090\/S0002-9939-1958-0097068-7","volume":"9","author":"G Sabidussi","year":"1958","unstructured":"Sabidussi, G.: On a class of fixed-point-free graphs. Proc. Am. Math. Soc. 9, 800\u2013804 (1958)","journal-title":"Proc. Am. Math. Soc."},{"key":"2440_CR13","unstructured":"Soicher, L.H.\u00a0GRAPE, GRaph Algorithms using PErmutation groups, Version 4.8.4 (2021) (Refereed GAP package). https:\/\/gap-packages.github.io\/grape"}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-021-02440-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00373-021-02440-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-021-02440-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,8]],"date-time":"2022-03-08T12:05:07Z","timestamp":1646741107000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00373-021-02440-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,12,15]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2022,2]]}},"alternative-id":["2440"],"URL":"https:\/\/doi.org\/10.1007\/s00373-021-02440-4","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"value":"0911-0119","type":"print"},{"value":"1435-5914","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,12,15]]},"assertion":[{"value":"28 July 2021","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 November 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 November 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 December 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no relevant financial or non-financial interests to disclose.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"17"}}