{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:43:15Z","timestamp":1740123795134,"version":"3.37.3"},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,4,2]],"date-time":"2019-04-02T00:00:00Z","timestamp":1554163200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,4,2]],"date-time":"2019-04-02T00:00:00Z","timestamp":1554163200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["1344199"],"award-info":[{"award-number":["1344199"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["1620202"],"award-info":[{"award-number":["1620202"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Order"],"published-print":{"date-parts":[[2019,11]]},"DOI":"10.1007\/s11083-019-09485-4","type":"journal-article","created":{"date-parts":[[2019,4,2]],"date-time":"2019-04-02T06:40:23Z","timestamp":1554187223000},"page":"621-652","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The Graph of Critical Pairs of a Crown"],"prefix":"10.1007","volume":"36","author":[{"given":"Fidel","family":"Barrera-Cruz","sequence":"first","affiliation":[]},{"given":"Rebecca","family":"Garcia","sequence":"additional","affiliation":[]},{"given":"Pamela","family":"Harris","sequence":"additional","affiliation":[]},{"given":"Bethany","family":"Kubik","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9316-4650","authenticated-orcid":false,"given":"Heather","family":"Smith","sequence":"additional","affiliation":[]},{"given":"Shannon","family":"Talbott","sequence":"additional","affiliation":[]},{"given":"Libby","family":"Taylor","sequence":"additional","affiliation":[]},{"given":"William T.","family":"Trotter","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,4,2]]},"reference":[{"key":"9485_CR1","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1002\/net.3230020103","volume":"2","author":"K Baker","year":"1971","unstructured":"Baker, K., Fishburn, P.C., Roberts, F.: Partial orders of dimension 2, interval orders and interval graphs. Networks 2, 11\u201328 (1971)","journal-title":"Networks"},{"key":"9485_CR2","volume-title":"La dimension Ferrers des graphes orient\u00e9s","author":"O Cogis","year":"1980","unstructured":"Cogis, O.: La dimension Ferrers des graphes orient\u00e9s. Th\u00e8se. Universit\u00e9 Pierre et Marie Curie, Paris (1980)"},{"key":"9485_CR3","doi-asserted-by":"publisher","first-page":"600","DOI":"10.2307\/2371374","volume":"63","author":"B Dushnik","year":"1941","unstructured":"Dushnik, B., Miller, E.W.: Partially ordered sets. Amer. J. Math. 63, 600\u2013610 (1941)","journal-title":"Amer. J. Math."},{"key":"9485_CR4","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1002\/rsa.3240020302","volume":"2","author":"P Erd\u00f6s","year":"1991","unstructured":"Erd\u00f6s, P., Kierstead, H., Trotter, W.T.: The dimension of random ordered sets. Random Struct. Algorithm. 2, 253\u2013275 (1991)","journal-title":"Random Struct. Algorithm."},{"key":"9485_CR5","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1023\/A:1006429830221","volume":"17","author":"S Felsner","year":"2000","unstructured":"Felsner, S., Trotter, W.T.: Dimension, graph and hypergraph coloring. Order 17, 167\u2013177 (2000)","journal-title":"Order"},{"key":"9485_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11083-011-9222-4","volume":"30","author":"S Felsner","year":"2013","unstructured":"Felsner, S., Krawczyk, T., Trotter, W.T.: Online dimension for posets excluding two long incomparable chains. Order 30, 1\u201312 (2013)","journal-title":"Order"},{"key":"9485_CR7","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(85)90042-1","volume-title":"Interval Orders and Interval Graphs: A Study of Partially Ordered Sets, Wiley-Interscience Series in Discrete Mathematics","author":"PC Fishburn","year":"1985","unstructured":"Fishburn, P.C.: Interval Orders and Interval Graphs: A Study of Partially Ordered Sets, Wiley-Interscience Series in Discrete Mathematics. Wiley, New York (1985)"},{"key":"9485_CR8","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1007\/BF00403406","volume":"3","author":"Z F\u00fcredi","year":"1988","unstructured":"F\u00fcredi, Z., Kahn, J.: On the dimension of ordered sets of bounded degree. Order 3, 15\u201320 (1988)","journal-title":"Order"},{"key":"9485_CR9","unstructured":"Garcia, R., Harris, P., Kubik, B., Talbott, S.: personal communication"},{"key":"9485_CR10","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1007\/s00493-014-3081-8","volume":"36","author":"G Joret","year":"2016","unstructured":"Joret, G., Micek, P., Milans, K., Trotter, W.T., Walczak, B., Wang, R.: Tree-width and dimension. Combinatorica 36, 431\u2013450 (2016)","journal-title":"Combinatorica"},{"key":"9485_CR11","doi-asserted-by":"crossref","unstructured":"Kelly, D., Trotter, W.T.: Dimension theory for ordered sets. In: Rival, I., et al. (eds.) Proceedings of the Symposium on Ordered Sets, pp 171\u2013212. Reidel Publishing (1982)","DOI":"10.1007\/978-94-009-7798-3_5"},{"key":"9485_CR12","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1007\/BF00396274","volume":"1","author":"H Kierstead","year":"1984","unstructured":"Kierstead, H., McNulty, G., Trotter, W.T.: A theory of dimension for recursive ordered sets. Order 1, 67\u201382 (1984)","journal-title":"Order"},{"key":"9485_CR13","unstructured":"Scott, A., Wood, D.R.: Better bounds for poset dimension and boxicity, arXiv: 1804.03271v2 (2018)"},{"key":"9485_CR14","doi-asserted-by":"publisher","first-page":"85","DOI":"10.1016\/0012-365X(74)90113-7","volume":"8","author":"WT Trotter","year":"1974","unstructured":"Trotter, W.T.: Dimension of the crown $\\mathbf {S}_{n}^{k}$. Discrete Math. 8, 85\u2013103 (1974)","journal-title":"Discrete Math."},{"key":"9485_CR15","doi-asserted-by":"crossref","DOI":"10.56021\/9780801844256","volume-title":"Combinatorics and Partially Ordered Sets: Dimension Theory","author":"WT Trotter","year":"1992","unstructured":"Trotter, W.T.: Combinatorics and Partially Ordered Sets: Dimension Theory. The Johns Hopkins University Press, Baltimore (1992)"},{"key":"9485_CR16","doi-asserted-by":"crossref","unstructured":"New perspectives on interval orders and interval graphs, Surveys in Combinatorics. In: Bailey, R. A. (ed.) London Mathematical Society Lecture Note Series, vol. 241, pp. 237\u2013286 (1997)","DOI":"10.1017\/CBO9780511662119.009"},{"key":"9485_CR17","unstructured":"Trotter, W.T.: Partially ordered sets. In: Graham, R. L., Gr\u00f6tschel, M., Lov\u00e1sz, L. (eds.) Handbook of Combinatorics, pp 433\u2013480. Elsevier, Amsterdam (1995)"},{"key":"9485_CR18","first-page":"51","volume":"21","author":"WT Trotter","year":"1977","unstructured":"Trotter, W.T., Moore, J.I.: The dimension of planar posets. J. Comb. Theory (B) 21, 51\u201367 (1977)","journal-title":"J. Comb. Theory (B)"},{"key":"9485_CR19","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1007\/s11083-015-9369-5","volume":"33","author":"WT Trotter","year":"2016","unstructured":"Trotter, W.T., Wang, R.: Planar posets, dimension, breadth and the number of minimal elements. Order 33, 333\u2013346 (2016)","journal-title":"Order"}],"container-title":["Order"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-019-09485-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11083-019-09485-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-019-09485-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,15]],"date-time":"2023-09-15T08:02:30Z","timestamp":1694764950000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11083-019-09485-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,4,2]]},"references-count":19,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,11]]}},"alternative-id":["9485"],"URL":"https:\/\/doi.org\/10.1007\/s11083-019-09485-4","relation":{},"ISSN":["0167-8094","1572-9273"],"issn-type":[{"type":"print","value":"0167-8094"},{"type":"electronic","value":"1572-9273"}],"subject":[],"published":{"date-parts":[[2019,4,2]]},"assertion":[{"value":"22 August 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 March 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 April 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}