{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T13:30:22Z","timestamp":1773235822425,"version":"3.50.1"},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2008,8,19]],"date-time":"2008-08-19T00:00:00Z","timestamp":1219104000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinatorica"],"published-print":{"date-parts":[[2008,11]]},"DOI":"10.1007\/s00493-008-2427-5","type":"journal-article","created":{"date-parts":[[2008,8,18]],"date-time":"2008-08-18T23:03:58Z","timestamp":1219100638000},"page":"633-644","source":"Crossref","is-referenced-by-count":30,"title":["Points surrounding the origin"],"prefix":"10.1007","volume":"28","author":[{"given":"Andreas F.","family":"Holmsen","sequence":"first","affiliation":[]},{"given":"J\u00e1nos","family":"Pach","sequence":"additional","affiliation":[]},{"given":"Helge","family":"Tverberg","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2008,8,19]]},"reference":[{"key":"2427_CR1","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1002\/jgt.3190160405","volume":"16","author":"J. L. Arocha","year":"1992","unstructured":"J. L. Arocha, J. Bracho and V. Neumann-Lara: On the minimum size of tight hypergraphs, J. Graph Theory 16 (1992), 319\u2013326.","journal-title":"J. Graph Theory"},{"key":"2427_CR2","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/0012-365X(82)90115-7","volume":"40","author":"I. B\u00e1r\u00e1ny","year":"1982","unstructured":"I. B\u00e1r\u00e1ny: A generalization of Carath\u00e9odory\u2019s theorem, Discrete Math. 40 (1982), 141\u2013152.","journal-title":"Discrete Math."},{"key":"2427_CR3","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/BF02771522","volume":"10","author":"D. W. Barnette","year":"1971","unstructured":"D. W. Barnette: The minimal number of vertices of a simple polytope, Israel J. Math. 10 (1971), 121\u2013125.","journal-title":"Israel J. Math."},{"key":"2427_CR4","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1007\/PL00009354","volume":"19","author":"T. K. Dey","year":"1998","unstructured":"T. K. Dey: Improved bounds on planar k-sets and related problems, Discrete Comput. Geom. 19 (1998), 373\u2013382.","journal-title":"Discrete Comput. Geom."},{"key":"2427_CR5","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/S0925-7721(03)00013-0","volume":"26","author":"O. Devillers","year":"2003","unstructured":"O. Devillers, F. Hurtado, Gy. K\u00e1rolyi and C. Seara: Chromatic variants of the Erd\u0151s-Szekeres theorem on points in convex position, Comput. Geom. Th. & Appls. 26 (2003), 193\u2013208.","journal-title":"Comput. Geom. Th. & Appls."},{"key":"2427_CR6","doi-asserted-by":"crossref","unstructured":"J. Eckhoff: Helly, Radon, and Carath\u00e9odory type theorems; in Handbook of Convex Geometry (P. M. Gruber, J. M. Wills, eds.), Vol. A (1993), 389\u2013448.","DOI":"10.1016\/B978-0-444-89596-7.50017-1"},{"key":"2427_CR7","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-0039-7","volume-title":"Lectures on discrete geometry","author":"J. Matou\u0161ek","year":"2002","unstructured":"J. Matou\u0161ek: Lectures on discrete geometry, Graduate Texts in Mathematics 212, Springer-Verlag, New York, 2002."},{"key":"2427_CR8","first-page":"107","volume":"14","author":"L. Lov\u00e1sz","year":"1971","unstructured":"L. Lov\u00e1sz: On the number of halving lines, Ann. Univ. Sci. Budapest E\u00f6tv\u00f6s Sect. Math. 14 (1971), 107\u2013108.","journal-title":"Ann. Univ. Sci. Budapest E\u00f6tv\u00f6s Sect. Math."},{"issue":"2","key":"2427_CR9","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1007\/s00454-001-0005-3","volume":"26","author":"M. Sharir","year":"2001","unstructured":"M. Sharir, S. Smorodinsky and G. Tardos: An improved bound for k-sets in three dimensions, Discrete Comput. Geom. 26(2) (2001), 195\u2013204.","journal-title":"Discrete Comput. Geom."},{"key":"2427_CR10","unstructured":"R. Strausz, personal communication, February, 2007."},{"key":"2427_CR11","series-title":"Graduate Texts in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-8431-1","volume-title":"Lectures on Polytopes","author":"G. Ziegler","year":"1995","unstructured":"G. Ziegler: Lectures on Polytopes, Graduate Texts in Mathematics 152, Springer-Verlag, New York, 1995."}],"container-title":["Combinatorica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00493-008-2427-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00493-008-2427-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00493-008-2427-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T21:32:46Z","timestamp":1559079166000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00493-008-2427-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,8,19]]},"references-count":11,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2008,11]]}},"alternative-id":["2427"],"URL":"https:\/\/doi.org\/10.1007\/s00493-008-2427-5","relation":{},"ISSN":["0209-9683","1439-6912"],"issn-type":[{"value":"0209-9683","type":"print"},{"value":"1439-6912","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,8,19]]}}}