On Kalai’s Conjectures Concerning Centrally Symmetric Polytopes

Raman Sanyal, Axel Werner, Günter M. Ziegler

Type: Article

Publication Date: 2008-09-02

Citations: 27

DOI: https://doi.org/10.1007/s00454-008-9104-8

View Publication

Download PDF

Locations

Discrete & Computational Geometry - View - PDF
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	A note on Kalai's $3^d$ Conjecture	2022	Gregory R. Chambers
+ PDF Chat	Centrally symmetric polytopes with many faces	2012	Alexander Barvinok Seung Jin Lee Isabella Novik
+	Centrally symmetric polytopes with many faces	2011	Alexander Barvinok Seung Jin Lee Isabella Novik
+	A Positive Answer to Bárány's Question on Face Numbers of Polytopes	2022	Joshua G. Hinman
+ PDF Chat	A Positive Answer to Bárány’s Question on Face Numbers of Polytopes	2023	Joshua G. Hinman
+	Centrally symmetric polytopes with many faces	2011	Alexander Barvinok Seung Jin Lee Isabella Novik
+ PDF Chat	Centrally Symmetric Polytopes with Many Faces.	2013	Seung‐Jin Lee
+ PDF Chat	Perfect Prismatoids and the Conjecture Concerning Face Numbers of Centrally Symmetric Polytopes	2012	M. A. Kozachok
+	The number of faces of centrally-symmetric polytopes	1989	Gil Kalai
+	Face Numbers: Centrally Symmetric Spheres versus Centrally Symmetric Polytopes	2019	Isabella Novik
+	A tale of centrally symmetric polytopes and spheres	2017	Isabella Novik
+ PDF Chat	A Tale of Centrally Symmetric Polytopes and Spheres	2019	Isabella Novik
+ PDF Chat	On the number of faces of centrally-symmetric simplicial polytopes	1987	Richard P. Stanley
+ PDF Chat	A Centrally Symmetric Version of the Cyclic Polytope	2007	Alexander Barvinok Isabella Novik
+	A lower bound theorem for centrally symmetric simplicial polytopes	2017	Steven Klee Eran Nevo Isabella Novik Hailun Zheng
+ PDF Chat	A Lower Bound Theorem for Centrally Symmetric Simplicial Polytopes	2018	Steven Klee Eran Nevo Isabella Novik Hailun Zheng
+	A centrally symmetric version of the cyclic polytope	2006	Alexander Barvinok Isabella Novik
+	The lower bound theorem for centrally symmetric simple polytopes	1999	Isabella Novik
+	Polytopes with centrally symmetric faces	1970	Peter McMullen
+	Kalai's $3^{d}$-conjecture for unconditional and locally anti-blocking polytopes	2023	Raman Sanyal Martin Winter

Works That Cite This (24)

Action	Title	Year	Authors
+	Flag numbers and floating bodies	2018	Florian Besau Carsten Schütt Elisabeth M. Werner
+	Lipschitz polytopes of posets and permutation statistics	2018	Raman Sanyal Christian Stump
+	Incidence Graphs and Unneighborly Polytopes	2009	Ronald F. Wotzlaw
+ PDF Chat	Isocanted alcoved polytopes	2020	M. J. de la Puente Pedro Luis Clavería
+ PDF Chat	Face Numbers of Centrally Symmetric Polytopes Produced from Split Graphs	2013	Ragnar Freij-Hollanti Matthias Henze Moritz W. Schmitt Günter M. Ziegler
+ PDF Chat	Many 2-Level Polytopes from Matroids	2015	Francesco Grande Juanjo Rué
+ PDF Chat	Enumeration of 2-Level Polytopes	2015	Adam Bohn Yuri Faenza Samuel Fiorini Vissarion Fisikopoulos Marco Macchia Kanstantsin Pashkovich
+	Reflexive polytopes arising from perfect graphs	2018	Takayuki Hibi Akiyoshi Tsuchiya
+	Face numbers of centrally symmetric polytopes from split graphs	2012	Ragnar Freij-Hollanti Matthias Henze Moritz W. Schmitt Günter M. Ziegler
+	Theta rank, levelness, and matroid minors	2016	Francesco Grande Raman Sanyal

Works Cited by This (23)

Action	Title	Year	Authors
+	Lectures on Polytopes	1994	Günter M. Ziegler
+	Some Enumerative Results on Series-Parallel Networks	1987	J. W. Moon
+	The extended f-vectors of 4-polytopes	1987	Margaret M. Bayer
+ PDF Chat	On Generalized h -Vectors of Rational Polytopes with a Symmetry of Prime Order	1999	Annette A’Campo–Neuen
+	Rigidity and the lower bound theorem 1	1987	Gil Kalai
+ PDF Chat	On the number of faces of centrally-symmetric simplicial polytopes	1987	Richard P. Stanley
+ PDF Chat	Weights on polytopes	1996	Peter McMullen
+ PDF Chat	Remarks on the Combinatorial Intersection Cohomology of Fans	2006	Tom Braden
+	Borsuk's theorem and the number of facets of centrally symmetric polytopes	1982	Imre Bárány László Lovász
+ PDF Chat	From the Mahler Conjecture to Gauss Linking Integrals	2008	Greg Kuperberg