{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:46:13Z","timestamp":1740109573731,"version":"3.37.3"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2020,1,21]],"date-time":"2020-01-21T00:00:00Z","timestamp":1579564800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,21]],"date-time":"2020-01-21T00:00:00Z","timestamp":1579564800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2021,9]]},"DOI":"10.1007\/s00454-019-00170-2","type":"journal-article","created":{"date-parts":[[2020,1,22]],"date-time":"2020-01-22T01:07:31Z","timestamp":1579655251000},"page":"659-665","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["No More Than $$2^{d+1}-2$$ Nearly Neighbourly Simplices in $${\\mathbb {R}}^d$$"],"prefix":"10.1007","volume":"66","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4117-8465","authenticated-orcid":false,"given":"Andrzej P.","family":"Kisielewicz","sequence":"first","affiliation":[]},{"given":"Krzysztof","family":"Przes\u0142awski","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,1,21]]},"reference":[{"key":"170_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-00856-6","volume-title":"Proofs from The Book","author":"M Aigner","year":"2010","unstructured":"Aigner, M., Ziegler, G.M.: Proofs from The Book, 4th edn. Springer, Berlin (2010)","edition":"4"},{"key":"170_CR2","doi-asserted-by":"publisher","first-page":"328","DOI":"10.2307\/2310516","volume":"63","author":"F Bagemihl","year":"1956","unstructured":"Bagemihl, F.: A conjecture concerning neighboring tetrahedr. Am. Math. Mon. 63, 328\u2013329 (1956)","journal-title":"Am. Math. Mon."},{"key":"170_CR3","series-title":"International Series of Monographs in Pure and Applied Mathematics","volume-title":"Some Properties of Polyhedra in Euclidean Space","author":"VJD Baston","year":"1965","unstructured":"Baston, V.J.D.: Some Properties of Polyhedra in Euclidean Space. International Series of Monographs in Pure and Applied Mathematics, vol. 71. Pergamon Press, Oxford (1965)"},{"key":"170_CR4","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1016\/0097-3165(88)90001-5","volume":"48","author":"S Furino","year":"1988","unstructured":"Furino, S., Gamble, B., Zaks, J.: Nearly-neighborly tetrahedra and the decomposition of some multigraphs. J. Comb. Theory Ser. A 48, 147\u2013155 (1988)","journal-title":"J. Comb. Theory Ser. A"},{"key":"170_CR5","unstructured":"Kalai, G.: Touching simplices and polytopes: Perles\u2019 argument. Combinatorics and more, August 27 (2017). https:\/\/gilkalai.wordpress.com\/2017\/08\/27\/touching-simplices-and-polytopes-perles-argument\/"},{"key":"170_CR6","unstructured":"Kisielewicz, A.P., Przes\u0142awski, K.: There are at most $$2^{d+1}-2$$ neighbourly simplices in dimension $$d$$ (2019). arXiv:1902.05597"},{"key":"170_CR7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139814782","volume-title":"Analysis of Boolean Functions","author":"R O\u2019Donnell","year":"2014","unstructured":"O\u2019Donnell, R.: Analysis of Boolean Functions. Cambridge University Press, New York (2014)"},{"key":"170_CR8","series-title":"Annals of Discrete Mathematics","first-page":"253","volume-title":"Convexity and Graph Theory","author":"MA Perles","year":"1984","unstructured":"Perles, M.A.: At most $$2^{d+1}$$ neighborly simplices in $$E^d$$. In: Rosenfeld, M., Zaks, J. (eds.) Convexity and Graph Theory. Annals of Discrete Mathematics, vol. 20, pp. 253\u2013254. North-Holland, Amsterdam (1984)"},{"issue":"4","key":"170_CR9","doi-asserted-by":"publisher","first-page":"493","DOI":"10.1002\/jgt.3190060414","volume":"6","author":"H Tverberg","year":"1982","unstructured":"Tverberg, H.: On the decomposition of $$K_n$$ into complete bipartite graphs. J. Graph Theory 6(4), 493\u2013494 (1982)","journal-title":"J. Graph Theory"},{"key":"170_CR10","series-title":"London Mathematical Society Student Texts","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511626265","volume-title":"Fourier Analysis on Finite Groups and Applications","author":"A Terras","year":"1999","unstructured":"Terras, A.: Fourier Analysis on Finite Groups and Applications. London Mathematical Society Student Texts, vol. 43. Cambridge University Press, Cambridge (1999)"},{"issue":"4","key":"170_CR11","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1007\/BF00181209","volume":"11","author":"J Zaks","year":"1981","unstructured":"Zaks, J.: Neighborly families of $$2^d$$$$d$$-simplices in $$E^d$$. Geom. Dedicata 11(4), 505\u2013507 (1981)","journal-title":"Geom. Dedicata"},{"key":"170_CR12","volume-title":"No Nine Neighborly Tetrahedra Exist. Memoirs of the American Mathematical Society","author":"J Zaks","year":"1991","unstructured":"Zaks, J.: No Nine Neighborly Tetrahedra Exist. Memoirs of the American Mathematical Society, vol. 91(447). American Mathematical Society, Providence (1991)"}],"container-title":["Discrete &amp; Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-019-00170-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00454-019-00170-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-019-00170-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,29]],"date-time":"2021-07-29T14:06:41Z","timestamp":1627567601000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00454-019-00170-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,21]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["170"],"URL":"https:\/\/doi.org\/10.1007\/s00454-019-00170-2","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"type":"print","value":"0179-5376"},{"type":"electronic","value":"1432-0444"}],"subject":[],"published":{"date-parts":[[2020,1,21]]},"assertion":[{"value":"3 June 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 November 2019","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 December 2019","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 January 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}