{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T20:55:41Z","timestamp":1725828941572},"publisher-location":"Berlin, Heidelberg","reference-count":22,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783662483497"},{"type":"electronic","value":"9783662483503"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-662-48350-3_17","type":"book-chapter","created":{"date-parts":[[2015,9,1]],"date-time":"2015-09-01T01:40:34Z","timestamp":1441071634000},"page":"191-202","source":"Crossref","is-referenced-by-count":4,"title":["Enumeration of 2-Level Polytopes"],"prefix":"10.1007","author":[{"given":"Adam","family":"Bohn","sequence":"first","affiliation":[]},{"given":"Yuri","family":"Faenza","sequence":"additional","affiliation":[]},{"given":"Samuel","family":"Fiorini","sequence":"additional","affiliation":[]},{"given":"Vissarion","family":"Fisikopoulos","sequence":"additional","affiliation":[]},{"given":"Marco","family":"Macchia","sequence":"additional","affiliation":[]},{"given":"Kanstantsin","family":"Pashkovich","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,11,12]]},"reference":[{"key":"17_CR1","doi-asserted-by":"crossref","unstructured":"Aichholzer, O.: Extremal properties of 0\/1-polytopes of dimension 5. In: Ziegler, G., Kalai, G. (eds.) Polytopes - Combinatorics and Computation, pp. 111\u2013130. Birkh\u00e4user (2000)","DOI":"10.1007\/978-3-0348-8438-9_5"},{"issue":"4","key":"17_CR2","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1016\/S0925-7721(97)00010-2","volume":"9","author":"T. Akutsu","year":"1998","unstructured":"Akutsu, T.: On determining the congruence of point sets in d dimensions. Computational Geometry\u00a09(4), 247\u2013256 (1998)","journal-title":"Computational Geometry"},{"key":"17_CR3","unstructured":"Beyer, S.: Comprehensive perl archive network: Bit-vector-7.4 (2014). http:\/\/search.cpan.org\/~stbey\/Bit-Vector-7.4"},{"key":"17_CR4","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1016\/0095-8956(75)90041-6","volume":"18","author":"V. Chv\u00e1tal","year":"1975","unstructured":"Chv\u00e1tal, V.: On certain polytopes associated with graphs. J. Combinatorial Theory Ser. B\u00a018, 138\u2013154 (1975)","journal-title":"J. Combinatorial Theory Ser. B"},{"key":"17_CR5","doi-asserted-by":"crossref","unstructured":"De Loera, J., Rambau, J., Santos, F.: Triangulations. Algorithms and Computation in Mathematics, vol. 25 (2010)","DOI":"10.1007\/978-3-642-12971-1"},{"key":"17_CR6","doi-asserted-by":"crossref","unstructured":"Ganter, B., Reuter, K.: Finding all closed sets: A general approach. Order\u00a08(3), 283\u2013290 (1991) (English)","DOI":"10.1007\/BF00383449"},{"key":"17_CR7","doi-asserted-by":"crossref","unstructured":"Gawrilow, E., Joswig, M.: Polymake: an approach to modular software design in computational geometry. In: International Symposium on Computational Geometry (SOCG), pp. 222\u2013231. ACM Press (2001)","DOI":"10.1145\/378583.378673"},{"issue":"4","key":"17_CR8","doi-asserted-by":"publisher","first-page":"2097","DOI":"10.1137\/090746525","volume":"20","author":"J. Gouveia","year":"2010","unstructured":"Gouveia, J., Parrilo, P., Thomas, R.: Theta bodies for polynomial ideals. SIAM Journal on Optimization\u00a020(4), 2097\u20132118 (2010)","journal-title":"SIAM Journal on Optimization"},{"issue":"3","key":"17_CR9","doi-asserted-by":"publisher","first-page":"679","DOI":"10.1007\/s00454-013-9533-x","volume":"50","author":"J. Gouveia","year":"2013","unstructured":"Gouveia, J., Robinson, R., Thomas, R.: Polytopes of minimum positive semidefinite rank. Discrete & Computational Geometry\u00a050(3), 679\u2013699 (2013)","journal-title":"Discrete & Computational Geometry"},{"key":"17_CR10","unstructured":"Grande, F., Sanyal, R.: Theta rank, levelness, and matroid minors, arXiv preprint, arXiv:1408.1262 (2014)"},{"key":"17_CR11","unstructured":"Haase, C.: Lattice polytopes and unimodular triangulations, Ph.D. thesis, Technical University of Berlin (2000)"},{"key":"17_CR12","doi-asserted-by":"publisher","first-page":"65","DOI":"10.7146\/math.scand.a-10456","volume":"4","author":"O. Hanner","year":"1956","unstructured":"Hanner, O.: Intersections of translates of convex bodies. Mathematica Scandinavica\u00a04, 65\u201387 (1956)","journal-title":"Mathematica Scandinavica"},{"key":"17_CR13","doi-asserted-by":"publisher","first-page":"225","DOI":"10.7146\/math.scand.a-11716","volume":"41","author":"A. Hansen","year":"1977","unstructured":"Hansen, A.: On a certain class of polytopes associated with independence systems. Mathematica Scandinavica\u00a041, 225\u2013241 (1977)","journal-title":"Mathematica Scandinavica"},{"issue":"1","key":"17_CR14","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1007\/BF01788696","volume":"5","author":"G. Kalai","year":"1989","unstructured":"Kalai, G.: The number of faces of centrally-symmetric polytopes. Graphs and Combinatorics\u00a05(1), 389\u2013391 (1989)","journal-title":"Graphs and Combinatorics"},{"key":"17_CR15","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1080\/09528130210164170","volume":"14","author":"S. Kuznetsov","year":"2002","unstructured":"Kuznetsov, S., Obiedkov, S.: Comparing performance of algorithms for generating concept lattices. Journal of Experimental and Theoretical Artificial Intelligence\u00a014, 189\u2013216 (2002)","journal-title":"Journal of Experimental and Theoretical Artificial Intelligence"},{"key":"17_CR16","doi-asserted-by":"crossref","unstructured":"Paffenholz, A.: Faces of Birkhoff polytopes. Electronic Journal of Combinatorics 22 (2015)","DOI":"10.37236\/4499"},{"issue":"2","key":"17_CR17","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/s00454-008-9104-8","volume":"41","author":"R. Sanyal","year":"2009","unstructured":"Sanyal, R., Werner, A., Ziegler, G.: On Kalai\u2019s conjectures concerning centrally symmetric polytopes. Discrete & Computational Geometry\u00a041(2), 183\u2013198 (2009)","journal-title":"Discrete & Computational Geometry"},{"key":"17_CR18","doi-asserted-by":"crossref","unstructured":"Stanley, R.: Decompositions of rational convex polytopes. Annals of Discrete Mathematics, 333\u2013342 (1980)","DOI":"10.1016\/S0167-5060(08)70717-9"},{"issue":"1","key":"17_CR19","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1007\/BF02187680","volume":"1","author":"R. Stanley","year":"1986","unstructured":"Stanley, R.: Two poset polytopes. Discrete & Computational Geometry\u00a01(1), 9\u201323 (1986)","journal-title":"Discrete & Computational Geometry"},{"issue":"3","key":"17_CR20","doi-asserted-by":"publisher","first-page":"433","DOI":"10.2748\/tmj\/1163775139","volume":"58","author":"S. Sullivant","year":"2006","unstructured":"Sullivant, S.: Compressed polytopes and statistical disclosure limitation. Tohoku Mathematical Journal, Second Series\u00a058(3), 433\u2013445 (2006)","journal-title":"Tohoku Mathematical Journal, Second Series"},{"key":"17_CR21","doi-asserted-by":"crossref","unstructured":"Ziegler, G.: Lectures on polytopes, vol. 152, Springer Science & Business Media (1995)","DOI":"10.1007\/978-1-4613-8431-1"},{"key":"17_CR22","series-title":"DMV Seminar","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-0348-8438-9_1","volume-title":"Polytopes - Combinatorics and Computation","author":"G. Ziegler","year":"2000","unstructured":"Ziegler, G.: Lectures on 0\/1-polytopes. In: Kalai, G., Ziegler, G. (eds.) Polytopes - Combinatorics and Computation. DMV Seminar, vol.\u00a029, pp. 1\u201341. Springer, Birkh\u00e4user, Basel (2000)"}],"container-title":["Lecture Notes in Computer Science","Algorithms - ESA 2015"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-48350-3_17","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,7]],"date-time":"2020-09-07T20:32:22Z","timestamp":1599510742000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-662-48350-3_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783662483497","9783662483503"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-48350-3_17","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2015]]}}}