Almost simplicial polytopes: The lower and upper bound theorems (Extended Abstract) Pineda Villavicencio, Guillermo, Nevo, E, Ugon, Julien and Yost, D 2016, Almost simplicial polytopes: The lower and upper bound theorems (Extended Abstract), in Proceedings of the 28th Annual Conference on Formal Power Series and Algebraic Combinatorics, DMTCS Proceedings,. Attached Files Name Description MIMEType Size Downloads Title Almost simplicial polytopes: The lower and upper bound theorems (Extended Abstract) Author(s) Pineda Villavicencio, Guillermo orcid.org/0000-0002-2904-6657 Nevo, E Ugon, Julien orcid.org/0000-0001-5290-8051 Yost, D Conference name 28th International Conference on Formal Power Series and Algebraic Combinatorics ( Conference location Vancouver, Canada Conference dates 2016/07/04 - 2016/07/08 Title of proceedings Proceedings of the 28th Annual Conference on Formal Power Series and Algebraic Combinatorics Publication date 2016 Total pages 12 Publisher DMTCS Proceedings Summary This is an extended abstract of the full version. We study n-vertex d-dimensional polytopes with at most one nonsimplex facet with, say, d + s vertices, called almost simplicial polytopes. We provide tight lower and upper bounds for the face numbers of these polytopes as functions of d, n and s, thus generalizing the classical Lower Bound Theorem by Barnette and Upper Bound Theorem by McMullen, which treat the case s = 0. We characterize the minimizers and provide examples of maximizers, for any d. Indigenous content off Field of Research 01 Mathematical Sciences 08 Information and Computing Sciences HERDC Research category E3 Extract of paper Persistent URL http://hdl.handle.net/10536/DRO/DU:30123276 Document type: Conference Paper Collections: Faculty of Science, Engineering and Built Environment School of Information Technology Related Links Link Description Publisher URL Go to link with your DU access privileges   Connect to Elements publication management system Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Tue, 25 Jun 2019, 12:57:27 EST Wed, 26 Jun 2019, 05:01:47 EST Thu, 27 Jun 2019, 06:02:48 EST Sat, 09 May 2020, 02:31:23 EST Sun, 07 Nov 2021, 12:41:28 EST Sun, 07 Nov 2021, 13:24:44 EST Sun, 07 Nov 2021, 13:33:37 EST Filtered Full Citation counts:   Cited 0 times in TR Web of Science Cited 1 times in Scopus Search Google Scholar Access Statistics: 9 Abstract Views, 1 File Downloads  -  Detailed Statistics Created: Tue, 25 Jun 2019, 12:57:27 EST