Zobrazeno 1 - 10
of 6 517
pro vyhledávání: '"A. BARIL"'
Autor:
Baril, Jean-Luc, Hassler, Nathanaël
We focus on a family of subsets $(\F^p_n)_{p\geq 2}$ of Dyck paths of semilength $n$ that avoid the patterns $DUU$ and $D^{p+1}$, which are enumerated by the generalized Fibonacci numbers. We endow them with the partial order relation induced by the
Externí odkaz:
http://arxiv.org/abs/2411.17628
Autor:
Baril, Jean-Luc, Ramírez, José L.
We examine the distribution and popularity of different parameters (such as the number of descents, runs, valleys, peaks, right-to-left minima, and more) on the sets of increasing and flattened permutations. For each parameter, we provide an exponent
Externí odkaz:
http://arxiv.org/abs/2410.15434
Autor:
Johnson, Paul A., Moisset, Jean-David, Gratton, Marianne, Baril, Émile, Plourde, Marc-Antoine, Lefebvre, Mathis, Kerleaux, Marianne, Ayers, Paul W., Cassam-Chenaï, Patrick, De Baerdemacker, Stijn, Van Neck, Dimitri
Wavefunction forms based on products of electron pairs are usually constructed as closed-shell singlets, which is insufficient when the molecular state has a nonzero spin or when the chemistry is determined by $d$- or $f-$electrons. A set of two-elec
Externí odkaz:
http://arxiv.org/abs/2410.01761
In the Stanley lattice defined on Dyck paths of size $n$, cover relations are obtained by replacing a valley $DU$ by a peak $UD$. We investigate a greedy version of this lattice, first introduced by Chenevi\`ere, where cover relations replace a facto
Externí odkaz:
http://arxiv.org/abs/2409.15982
We develop Kummer theory for algebraic function fields in finitely many transcendental variables. We consider any finitely generated Kummer extension (possibly, over a cyclotomic extension) of an algebraic function field, and describe the structure o
Externí odkaz:
http://arxiv.org/abs/2407.10783
In this work, we define flattened Catalan words as Catalan words whose runs of weak ascents have leading terms that appear in weakly increasing order. We provide generating functions, formulas, and asymptotic expressions for the number of flattened C
Externí odkaz:
http://arxiv.org/abs/2405.05357
Recent advances in autonomous driving for uncrewed ground vehicles (UGVs) have spurred significant development, particularly in challenging terrains. This paper introduces a classification system assessing various UGV deployments reported in the lite
Externí odkaz:
http://arxiv.org/abs/2405.00189
In this paper we are interested in the fine-grained complexity of deciding whether there is a homomorphism from an input graph $G$ to a fixed graph $H$ (the $H$-Coloring problem). The starting point is that these problems can be viewed as constraint
Externí odkaz:
http://arxiv.org/abs/2404.09798
We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (descents), $\ell$-valleys, valleys, symmetric valleys, $\ell$-peaks, peaks,
Externí odkaz:
http://arxiv.org/abs/2404.05672
We study the enumeration of different classes of grand knight's paths in the plane. In particular, we focus on the subsets of zigzag knight's paths that are subject to constraints. These constraints include ending at $y$-coordinate 0, bounded by a ho
Externí odkaz:
http://arxiv.org/abs/2402.04851