{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:46:42Z","timestamp":1740109602773,"version":"3.37.3"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2015,11,16]],"date-time":"2015-11-16T00:00:00Z","timestamp":1447632000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["209161"],"award-info":[{"award-number":["209161"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]},{"name":"ARSS of Slovenia","award":["P1-0294, P10297, N1-0011:GReGAS"],"award-info":[{"award-number":["P1-0294, P10297, N1-0011:GReGAS"]}]},{"DOI":"10.13039\/501100000782","name":"European Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000782","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2016,4]]},"DOI":"10.1007\/s00454-015-9749-z","type":"journal-article","created":{"date-parts":[[2015,11,16]],"date-time":"2015-11-16T15:41:41Z","timestamp":1447688501000},"page":"688-714","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Polycyclic Movable 4-Configurations are Plentiful"],"prefix":"10.1007","volume":"55","author":[{"given":"Leah Wrenn","family":"Berman","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jill R.","family":"Faudree","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Toma\u017e","family":"Pisanski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,11,16]]},"reference":[{"key":"9749_CR1","doi-asserted-by":"crossref","unstructured":"Barthel, G., Hirzebruch, F., H\u00f6fer, T.: Geradenkonfigurationen und Algebraische Fl\u00e4chen. Aspects of Mathematics, D4. Friedr. Vieweg & Sohn, Braunschweig (1987)","DOI":"10.1007\/978-3-322-92886-3"},{"key":"9749_CR2","unstructured":"Berardinelli, A., Berman, L.W.: Systematic celestial configurations. Ars Math. Contemp. 7(2), 361\u2013377 (2014)"},{"issue":"4","key":"9749_CR3","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1007\/s00454-001-0041-z","volume":"26","author":"LW Berman","year":"2001","unstructured":"Berman, L.W.: A characterization of astral $$(n_4)$$ ( n 4 ) configurations. Discrete Comput. Geom. 26(4), 603\u2013612 (2001)","journal-title":"Discrete Comput. Geom."},{"key":"9749_CR4","doi-asserted-by":"crossref","unstructured":"Berman, L.W.: Movable $$(n_4)$$ ( n 4 ) configurations. Electron. J. Comb. 13(1), Research Paper 104, 30 (2006)","DOI":"10.37236\/1130"},{"issue":"1","key":"9749_CR5","doi-asserted-by":"crossref","first-page":"44","DOI":"10.26493\/1855-3974.17.de0","volume":"1","author":"LW Berman","year":"2008","unstructured":"Berman, L.W.: A new class of movable $$(n_4)$$ ( n 4 ) configurations. Ars Math. Contemp. 1(1), 44\u201350 (2008)","journal-title":"Ars Math. Contemp."},{"key":"9749_CR6","doi-asserted-by":"crossref","unstructured":"Berman, L.W.: Geometric constructions for 3-configurations with non-trivial geometric symmetry. Electron. J. Comb. 20(3), Paper 9, 29 (2013)","DOI":"10.37236\/2341"},{"issue":"3","key":"9749_CR7","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1007\/s00454-013-9494-0","volume":"49","author":"LW Berman","year":"2013","unstructured":"Berman, L.W., Faudree, J.R.: Highly incident configurations with chiral symmetry. Discrete Comput. Geom. 49(3), 671\u2013694 (2013)","journal-title":"Discrete Comput. Geom."},{"issue":"4","key":"9749_CR8","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1016\/S0195-6698(03)00031-3","volume":"24","author":"M Boben","year":"2003","unstructured":"Boben, M., Pisanski, T.: Polycyclic configurations. Eur. J. Comb. 24(4), 431\u2013457 (2003)","journal-title":"Eur. J. Comb."},{"issue":"8","key":"9749_CR9","doi-asserted-by":"crossref","first-page":"1778","DOI":"10.1016\/j.ejc.2008.12.008","volume":"30","author":"J Bokowski","year":"2009","unstructured":"Bokowski, J., Gr\u00fcnbaum, B., Schewe, L.: Topological configurations $$(n_4)$$ ( n 4 ) exist for all $$n\\ge 17$$ n \u2265 17 . Eur. J. Comb. 30(8), 1778\u20131785 (2009)","journal-title":"Eur. J. Comb."},{"issue":"2, part A","key":"9749_CR10","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/j.comgeo.2012.10.002","volume":"47","author":"J Bokowski","year":"2014","unstructured":"Bokowski, J., Pilaud, V.: Enumerating topological $$(n_k)$$ ( n k ) -configurations. Comput. Geom. 47(2, part A), 175\u2013186 (2014)","journal-title":"Comput. Geom."},{"issue":"5\u20136","key":"9749_CR11","first-page":"483","volume":"50","author":"J Bokowski","year":"2005","unstructured":"Bokowski, J., Schewe, L.: There are no realizable $$15_4$$ 15 4 - and $$16_4$$ 16 4 -configurations. Rev. Roum. Math. Pures Appl. 50(5\u20136), 483\u2013493 (2005)","journal-title":"Rev. Roum. Math. Pures Appl."},{"issue":"5","key":"9749_CR12","doi-asserted-by":"crossref","first-page":"532","DOI":"10.1016\/j.comgeo.2011.11.001","volume":"46","author":"J Bokowski","year":"2013","unstructured":"Bokowski, J., Schewe, L.: On the finite set of missing geometric configurations $$(n_4)$$ ( n 4 ) . Comput. Geom. 46(5), 532\u2013540 (2013)","journal-title":"Comput. Geom."},{"key":"9749_CR13","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1090\/S0002-9904-1950-09407-5","volume":"56","author":"HSM Coxeter","year":"1950","unstructured":"Coxeter, H.S.M.: Self-dual configurations and regular graphs. Bull. Am. Math. Soc. 56, 413\u2013455 (1950)","journal-title":"Bull. Am. Math. Soc."},{"issue":"1","key":"9749_CR14","doi-asserted-by":"crossref","first-page":"175","DOI":"10.26493\/1855-3974.270.daa","volume":"7","author":"G G\u00e9vay","year":"2014","unstructured":"G\u00e9vay, G.: Constructions for large spatial point-line $$(n_k)$$ ( n k ) configurations. Ars Math. Contemp. 7(1), 175\u2013199 (2014)","journal-title":"Ars Math. Contemp."},{"key":"9749_CR15","series-title":"Wiley-Interscience Series in Discrete Mathematics and Optimization","volume-title":"Topological Graph Theory","author":"JL Gross","year":"1987","unstructured":"Gross, J.L., Tucker, T.W.: Topological Graph Theory. Wiley-Interscience Series in Discrete Mathematics and Optimization. Wiley, New York (1987)"},{"issue":"4","key":"9749_CR16","first-page":"164","volume":"9","author":"B Gr\u00fcnbaum","year":"2000","unstructured":"Gr\u00fcnbaum, B.: Which $$(n_4)$$ ( n 4 ) configurations exist? Geombinatorics 9(4), 164\u2013169 (2000)","journal-title":"Geombinatorics"},{"issue":"1","key":"9749_CR17","first-page":"15","volume":"12","author":"B Gr\u00fcnbaum","year":"2002","unstructured":"Gr\u00fcnbaum, B.: Connected $$(n_4)$$ ( n 4 ) configurations exist for almost all $$n$$ n \u2014an update. Geombinatorics 12(1), 15\u201323 (2002)","journal-title":"Geombinatorics"},{"issue":"2","key":"9749_CR18","first-page":"254","volume":"16","author":"B Gr\u00fcnbaum","year":"2006","unstructured":"Gr\u00fcnbaum, B.: Connected $$(n_4)$$ ( n 4 ) configurations exist for almost all $$n$$ n \u2014second update. Geombinatorics 16(2), 254\u2013261 (2006)","journal-title":"Geombinatorics"},{"issue":"8","key":"9749_CR19","doi-asserted-by":"crossref","first-page":"1910","DOI":"10.1016\/j.ejc.2008.01.004","volume":"29","author":"B Gr\u00fcnbaum","year":"2008","unstructured":"Gr\u00fcnbaum, B.: Musings on an example of Danzer\u2019s. Eur. J. Comb. 29(8), 1910\u20131918 (2008)","journal-title":"Eur. J. Comb."},{"issue":"1","key":"9749_CR20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.26493\/1855-3974.88.e12","volume":"2","author":"B Gr\u00fcnbaum","year":"2009","unstructured":"Gr\u00fcnbaum, B.: A catalogue of simplicial arrangements in the real projective plane. Ars Math. Contemp. 2(1), 1\u201325 (2009)","journal-title":"Ars Math. Contemp."},{"key":"9749_CR21","volume-title":"Configurations of Points and Lines, Graduate Studies in Mathematics","author":"B Gr\u00fcnbaum","year":"2009","unstructured":"Gr\u00fcnbaum, B.: Configurations of Points and Lines, Graduate Studies in Mathematics, vol. 103. American Mathematical Society, Providence (2009)"},{"issue":"2","key":"9749_CR22","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1112\/jlms\/s2-41.2.336","volume":"41","author":"B Gr\u00fcnbaum","year":"1990","unstructured":"Gr\u00fcnbaum, B., Rigby, J.F.: The real configuration $$(214)$$ ( 214 ) . J. Lond. Math. Soc. (2) 41(2), 336\u2013346 (1990)","journal-title":"J. Lond. Math. Soc. (2)"},{"key":"9749_CR23","doi-asserted-by":"crossref","unstructured":"Pisanski, T., Servatius, B.: Configurations from a Graphical Viewpoint. Birkh\u00e4user Advanced Texts: Basler Lehrb\u00fccher. Birkh\u00e4user, Boston (2013)","DOI":"10.1007\/978-0-8176-8364-1"},{"issue":"2","key":"9749_CR24","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1365\/s13291-015-0114-1","volume":"117","author":"D Zagier","year":"2015","unstructured":"Zagier, D.: Life and work of Friedrich Hirzebruch. Jahresber. Dtsch. Math.-Ver. 117(2), 93\u2013132 (2015)","journal-title":"Jahresber. Dtsch. Math.-Ver."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-015-9749-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-015-9749-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-015-9749-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,11]],"date-time":"2020-09-11T12:07:05Z","timestamp":1599826025000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-015-9749-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,16]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,4]]}},"alternative-id":["9749"],"URL":"https:\/\/doi.org\/10.1007\/s00454-015-9749-z","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"type":"print","value":"0179-5376"},{"type":"electronic","value":"1432-0444"}],"subject":[],"published":{"date-parts":[[2015,11,16]]}}}