Results 21 to 30 of about 369 (138)
A two-sided analogue of the Coxeter complex [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 For any Coxeter system (W, S) of rank n, we introduce an abstract boolean complex (simplicial poset) of dimension 2n − 1 which contains the Coxeter complex as a relative subcomplex.
T. Kyle Petersen
doaj +1 more source
Homomesy in products of two chains [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Many cyclic actions $τ$ on a finite set $\mathcal{S}$ ; of combinatorial objects, along with a natural statistic $f$ on $\mathcal{S}$, exhibit ``homomesy'': the average of $f$ over each $τ$-orbit in $\mathcal{S} $ is the same as the average of $f$ over ...
James Propp, Tom Roby
doaj +1 more source
A birational lifting of the Stanley-Thomas word on products of two chains [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 The dynamics of certain combinatorial actions and their liftings to actions at the piecewise-linear and birational level have been studied lately with an eye towards questions of periodicity, orbit structure, and invariants.
Michael Joseph, Tom Roby
doaj +1 more source
Maximal 0-1-fillings of moon polyominoes with restricted chain lengths and rc-graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We show that maximal 0-1-fillings of moon polynomials, with restricted chain lengths, can be identified with certain rc-graphs, also known as pipe dreams.
Martin Rubey
doaj +1 more source
Base Axioms of Modular Supermatroids
Journal of Applied Mathematics, 2014 This paper studies axiom systems of supermatroids. Barnabei et al.'s base axioms concerning poset matroids (i.e., distributive supermatroids) are generalized to modular supermatroids, and a mistake in the proof of base axioms of poset matroids is pointed
Xiaonan Li, Sanyang Liu
doaj +1 more source
The topology of restricted partition posets [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 For each composition $\vec{c}$ we show that the order complex of the poset of pointed set partitions $Π ^• _{\vec{c}}$ is a wedge of $β\vec{c}$ spheres of the same dimensions, where $β\vec{c}$ is the number of permutations with descent composition ^$\vec{
Richard Ehrenborg, JiYoon Jung
doaj +1 more source
Open Set Lattices of Subspaces of Spectrum Spaces
Demonstratio Mathematica, 2015 We take a unified approach to study the open set lattices of various subspaces of the spectrum of a multiplicative lattice L. The main aim is to establish the order isomorphism between the open set lattice of the respective subspace and a sub-poset of L.
Nai Y.T., Zhao D.
doaj +1 more source
How to get the weak order out of a digraph ? [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We construct a poset from a simple acyclic digraph together with a valuation on its vertices, and we compute the values of its Möbius function. We show that the weak order on Coxeter groups $A$$n-1$, $B$$n$, $Ã$$n$, and the flag weak order on the wreath ...
Francois Viard
doaj +1 more source
Climate Change and (Mal)Adaptation in Tourism‐Intensive Alpine Regions
The Political Quarterly, EarlyView.Abstract Tourism, especially in winter, accounts for a large share of economic income in Alpine regions. At the same time, these regions are more severely affected by climate change, leading to shorter winter seasons and reduced snow cover. This presents a pressing issue for areas reliant on income from winter tourism through activities such as skiing.
Valentina Ausserladscheider
wiley +1 more source
Philosophical Perspectives, EarlyView.ABSTRACT Joint inquiry requires agents to exchange public content about some target domain, which in turn requires them to track which content a linguistic form contributes to a conversation. But, often, the inquiry delivers a necessary truth. For example, if we are inquiring whether a particular bird, Tweety, is a woodpecker, and discover that it is ...
Una Stojnić, Matthew Stone
wiley +1 more source