{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T08:22:52Z","timestamp":1649146972481},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2010,10,2]],"date-time":"2010-10-02T00:00:00Z","timestamp":1285977600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2011,10]]},"DOI":"10.1007\/s00454-010-9300-1","type":"journal-article","created":{"date-parts":[[2010,10,1]],"date-time":"2010-10-01T18:49:17Z","timestamp":1285958957000},"page":"427-446","source":"Crossref","is-referenced-by-count":4,"title":["f-Vectors of Triangulated Balls"],"prefix":"10.1007","volume":"46","author":[{"given":"Samuel","family":"Kolins","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,10,2]]},"reference":[{"key":"9300_CR1","doi-asserted-by":"crossref","first-page":"349","DOI":"10.2140\/pjm.1973.46.349","volume":"46","author":"D. Barnette","year":"1973","unstructured":"Barnette, D.: A proof of the lower bound conjecture for convex polytopes. Pac. J. Math. 46, 349\u2013354 (1973)","journal-title":"Pac. J. Math."},{"key":"9300_CR2","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/S0195-6698(81)80037-6","volume":"2","author":"L.J. Billera","year":"1981","unstructured":"Billera, L.J., Lee, C.W.: The numbers of faces of polytope pairs and unbounded polyhedra. Eur. J. Comb. 2, 307\u2013322 (1981)","journal-title":"Eur. J. Comb."},{"key":"9300_CR3","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/0097-3165(81)90058-3","volume":"31","author":"L.J. Billera","year":"1981","unstructured":"Billera, L.J., Lee, C.W.: A proof of the sufficiency of McMullen\u2019s conditions for f-vectors of simplicial convex polytopes. J. Comb. Theory Ser. A 31, 237\u2013255 (1981)","journal-title":"J. Comb. Theory Ser. A"},{"key":"9300_CR4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0021-8693(90)90237-I","volume":"129","author":"S. Eliahou","year":"1990","unstructured":"Eliahou, S., Kervaire, M.: Minimal resolutions of some monomial ideals. J. Algebra 129, 1\u201325 (1990)","journal-title":"J. Algebra"},{"key":"9300_CR5","first-page":"47","volume":"25","author":"Hans-Gert Gr\u00e4be","year":"1987","unstructured":"Gr\u00e4be, Hans-Gert: Generalized Dehn\u2013Sommerville equations and an upper bound theorem. Beitr\u00e4ge Algebra Geom. 25, 47\u201360 (1987)","journal-title":"Beitr\u00e4ge Algebra Geom."},{"key":"9300_CR6","doi-asserted-by":"crossref","first-page":"780","DOI":"10.1006\/jabr.1994.1253","volume":"168","author":"T. Hibi","year":"1994","unstructured":"Hibi, T.: Cohen\u2013Macaulay types of Cohen\u2013Macaulay complexes. J. Algebra 168, 780\u2013797 (1994)","journal-title":"J. Algebra"},{"key":"9300_CR7","series-title":"Lecture Notes in Pure and Appl. Math.","first-page":"171","volume-title":"Ring Theory, II","author":"M. Hochster","year":"1977","unstructured":"Hochster, M.: Cohen\u2013Macaulay rings, combinatorics, and simplicial complexes. In: Ring Theory, II (Proc. Second Conf., Univ. Oklahoma, Norman, Okla., 1975). Lecture Notes in Pure and Appl. Math., vol.\u00a026, pp. 171\u2013223. Dekker, New York (1977)"},{"key":"9300_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF02187893","volume":"3","author":"G. Kalai","year":"1998","unstructured":"Kalai, G.: Many triangulated spheres. Discrete Comput. Geom. 3, 1\u201314 (1998)","journal-title":"Discrete Comput. Geom."},{"key":"9300_CR9","doi-asserted-by":"crossref","first-page":"517","DOI":"10.4153\/CJM-1964-053-0","volume":"16","author":"V. Klee","year":"1964","unstructured":"Klee, V.: A combinatorial analogue of Poincar\u00e9\u2019s duality theorem. Can. J. Math. 16, 517\u2013531 (1964)","journal-title":"Can. J. Math."},{"key":"9300_CR10","unstructured":"Lee, C.W., Schmidt, L.: On the numbers of faces of low-dimensional regular triangulations and shellable balls. Preprint (2009)"},{"key":"9300_CR11","doi-asserted-by":"crossref","first-page":"531","DOI":"10.1112\/plms\/s2-26.1.531","volume":"25","author":"F.S. Macaulay","year":"1927","unstructured":"Macaulay, F.S.: Some properties of enumeration in the theory of modular systems. Proc. Lond. Math. Soc. 25, 531\u2013555 (1927)","journal-title":"Proc. Lond. Math. Soc."},{"key":"9300_CR12","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1112\/jlms\/s2-4.1.181","volume":"4","author":"I.G. Macdonald","year":"1971","unstructured":"Macdonald, I.G.: Polynomials associated with finite cell-complexes. J. Lond. Math. Soc. (2) 4, 181\u2013192 (1971)","journal-title":"J. Lond. Math. Soc. (2)"},{"key":"9300_CR13","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1090\/S0002-9939-1990-1019276-9","volume":"110","author":"W.J.R. Mitchell","year":"1990","unstructured":"Mitchell, W.J.R.: Defining the boundary of a homology manifold. Proc. Am. Math. Soc. 110, 509\u2013513 (1990)","journal-title":"Proc. Am. Math. Soc."},{"key":"9300_CR14","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1007\/s00454-007-9017-y","volume":"39","author":"E. Nevo","year":"2008","unstructured":"Nevo, E.: Rigidity and the lower bound theorem for doubly Cohen\u2013Macaulay complexes. Discrete Comput. Geom. 39, 411\u2013418 (2008)","journal-title":"Discrete Comput. Geom."},{"key":"9300_CR15","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1007\/s00454-009-9187-x","volume":"42","author":"I. Novik","year":"2009","unstructured":"Novik, I., Swartz, E.: Applications of Klee\u2019s Dehn\u2013Sommerville relations. Discrete Comput. Geom. 42, 261\u2013276 (2009)","journal-title":"Discrete Comput. Geom."},{"key":"9300_CR16","doi-asserted-by":"crossref","first-page":"3503","DOI":"10.1090\/S0002-9939-04-07517-3","volume":"132","author":"I. Peeva","year":"2004","unstructured":"Peeva, I.: Consecutive cancellations in Betti numbers. Proc. Am. Math. Soc. 132, 3503\u20133507 (2004)","journal-title":"Proc. Am. Math. Soc."},{"key":"9300_CR17","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/0001-8708(76)90114-6","volume":"21","author":"G.A. Reisner","year":"1976","unstructured":"Reisner, G.A.: Cohen\u2013Macaulay quotients of polynomial rings. Adv. Math. 21, 30\u201349 (1976)","journal-title":"Adv. Math."},{"key":"9300_CR18","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1016\/0001-8708(80)90050-X","volume":"35","author":"R.P. Stanley","year":"1980","unstructured":"Stanley, R.P.: The number of faces of a simplicial convex polytope. Adv. Math. 35, 236\u2013238 (1980)","journal-title":"Adv. Math."},{"key":"9300_CR19","series-title":"Progress in Mathematics","volume-title":"Combinatorics and Commutative Algebra","author":"R.P. Stanley","year":"1996","unstructured":"Stanley, R.P.: Combinatorics and Commutative Algebra, 2nd edn. Progress in Mathematics, vol.\u00a041. Birkh\u00e4user, Boston (1996)","edition":"2"},{"key":"9300_CR20","doi-asserted-by":"crossref","first-page":"449","DOI":"10.4171\/JEMS\/156","volume":"11","author":"E. Swartz","year":"2009","unstructured":"Swartz, E.: Face enumeration\u2014from spheres to manifolds. J. Eur. Math. Soc. (JEMS) 11, 449\u2013485 (2009)","journal-title":"J. Eur. Math. Soc. (JEMS)"}],"container-title":["Discrete &amp; Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-010-9300-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-010-9300-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-010-9300-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,28]],"date-time":"2019-05-28T23:50:33Z","timestamp":1559087433000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-010-9300-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,10,2]]},"references-count":20,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2011,10]]}},"alternative-id":["9300"],"URL":"https:\/\/doi.org\/10.1007\/s00454-010-9300-1","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,10,2]]}}}