Results 11 to 20 of about 3,392 (194)
Tracking climate variability in the western Mediterranean during the Late Holocene: a multiproxy approach [PDF]
Climate of the Past, 2011 Climate variability in the western Mediterranean is reconstructed for the last 4000 yr using marine sediments recovered in the west Algerian-Balearic Basin, near the Alboran Basin.
V. Nieto-Moreno +8 more
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Generalized associahedra via brick polytopes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We generalize the brick polytope of V. Pilaud and F. Santos to spherical subword complexes for finite Coxeter groups. This construction provides polytopal realizations for a certain class of subword complexes containing all cluster complexes of finite ...
Vincent Pilaud, Christian Stump
doaj +1 more source
Dual Garside structures and Coxeter sortable elements [PDF]
Journal of Combinatorial Algebra, 2020 In Artin–Tits groups attached to spherical Coxeter groups, we give a combinatorial formula to express the simple elements of the dual braidmonoids in the classicalArtin generators. Every simple dual braid is obtained by lifting an S -reduced ...
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Sorting and preimages of pattern classes [PDF]
, 2012 We introduce an algorithm to determine when a sorting operation, such as stack-sort or bubble-sort, outputs a given pattern. The algorithm provides a new proof of the description of West-2-stack-sortable permutations, that is permutations that are ...
Claesson, Anders, Úlfarsson, Henning
core +7 more sources
SB-Labelings, Distributivity, and Bruhat Order on Sortable Elements [PDF]
The Electronic Journal of Combinatorics, 2015 In this article, we investigate the set of $\gamma$-sortable elements, associated with a Coxeter group $W$ and a Coxeter element $\gamma\in W$, under Bruhat order, and we denote this poset by $\mathcal{B}_{\gamma}$. We show that this poset belongs to the class of SB-lattices recently introduced by Hersh and Mészáros, by proving a more general statement,
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Clusters, Coxeter-sortable elements and noncrossing partitions [PDF]
Transactions of the American Mathematical Society, 2007 We introduce Coxeter-sortable elements of a Coxeter group W . W.
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Noncrossing partitions and representations of quivers [PDF]
, 2008 We situate the noncrossing partitions associated to a finite Coxeter group within the context of the representation theory of quivers. We describe Reading's bijection between noncrossing partitions and clusters in this context, and show that it extends ...
Assem +12 more
core +3 more sources
Preprojective algebras and c-sortable words [PDF]
, 2011 Let $Q$ be an acyclic quiver and $\Lambda$ be the complete preprojective algebra of $Q$ over an algebraically closed field $k$. To any element $w$ in the Coxeter group of $Q$, Buan, Iyama, Reiten and Scott have introduced and studied in \cite{Bua2} a ...
Amiot, Claire +3 more
core +2 more sources
Pancake Flipping is Hard [PDF]
, 2011 Pancake Flipping is the problem of sorting a stack of pancakes of different sizes (that is, a permutation), when the only allowed operation is to insert a spatula anywhere in the stack and to flip the pancakes above it (that is, to perform a prefix ...
Bulteau, Laurent +2 more
core +5 more sources
Enumeration of Stack-Sorting Preimages via a Decomposition Lemma
, 2021 We give three applications of a recently-proven "Decomposition Lemma," which allows one to count preimages of certain sets of permutations under West's stack-sorting map $s$.
Defant, Colin
core +1 more source