Results 51 to 60 of about 71,380 (295)
The Electronic Journal of Combinatorics, 2023 In this paper, we study nearly Gorensteinness of Ehrhart rings arising from lattice polytopes. We give necessary conditions and sufficient conditions on lattice polytopes for their Ehrhart rings to be nearly Gorenstein. Using this, we give an efficient method for constructing nearly Gorenstein polytopes.
Hall, Thomas +3 more
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A note on palindromic $\delta$-vectors for certain rational polytopes [PDF]
, 2008 Let P be a convex polytope containing the origin, whose dual is a lattice polytope. Hibi's Palindromic Theorem tells us that if P is also a lattice polytope then the Ehrhart $\delta$-vector of P is palindromic.
Fiset, Matthew H. J. +1 more
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Noncrossing sets and a Graßmannian associahedron [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We study a natural generalization of the noncrossing relation between pairs of elements in $[n]$ to $k$-tuples in $[n]$. We show that the flag simplicial complex on $\binom{[n]}{k}$ induced by this relation is a regular, unimodular and flag triangulation
Francisco Santos +2 more
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Lettera Matematica, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rogora, Enrico, Polo Blanco, Irene
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Minuscule Schubert varieties: poset polytopes, PBW-degenerated demazure modules, and Kogan faces [PDF]
, 2015 We study a family of posets and the associated chain and order polytopes. We identify the order polytope as a maximal Kogan face in a Gelfand-Tsetlin polytope of a multiple of a fundamental weight. We show that the character of such a Kogan face equals
Biswal, Rekha, Fourier, Ghislain
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Bott-Samelson Varieties, Subword Complexes and Brick Polytopes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Bott-Samelson varieties factor the flag variety $G/B$ into a product of $\mathbb{C}\mathbb{P}^1$'s with a map into $G/B$. These varieties are mostly studied in the case in which the map into $G/B$ is birational; however in this paper we study fibers of ...
Laura Escobar
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Discrete and Computational Geometry, 2003 In an ealier paper, \textit{W. Weil} [Geom. Dedicata 57, 91--103 (1995; Zbl 0838.52004)] has investigated the translative integral geometry of the centred support functional \(h^*\) (with respect to the Steiner point) of two convex bodies \(K\) and \(M\), and showed that \[ \int_{\mathbb{R}^n} h^*(K\cap (M+ x),\cdot)\,dx \] admits an expansion into \(n\
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A counterexample to the Hirsch conjecture [PDF]
, 2011 The Hirsch Conjecture (1957) stated that the graph of a $d$-dimensional polytope with $n$ facets cannot have (combinatorial) diameter greater than $n-d$.
Santos, Francisco
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The space of logically consistent classical processes without causal order
New Journal of Physics, 2016 Classical correlations without predefined causal order arise from processes where parties manipulate random variables, and where the order of these interactions is not predefined.
Ämin Baumeler, Stefan Wolf
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Extremal correlations of the tripartite no-signaling polytope [PDF]
, 2011 The no-signaling polytope associated with a Bell scenario with three parties, two inputs, and two outputs, is found to have 53 856 extremal points, belonging to 46 inequivalent classes.
Stefano Pironio, J. Bancal, V. Scarani
semanticscholar +1 more source