Results 31 to 40 of about 211,771 (176)
The classical theory of symmetric functions has a central position in algebraic combinatorics, bridging aspects of representation theory, combinatorics, and enumerative geometry.
Allen Hatcher+36 more
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ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
wiley +1 more source
Combinatorics of embeddings [PDF]
We offer the following explanation of the statement of the Kuratowski graph planarity criterion and of 6/7 of the statement of the Robertson-Seymour-Thomas intrinsic linking criterion.
Melikhov, Sergey A.
core
Hopf Algebras in Combinatorics
These notes -- originating from a one-semester class by their second author at the University of Minnesota -- survey some of the most important Hopf algebras appearing in combinatorics.
Grinberg, Darij, Reiner, Victor
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Stable Lengths on the pants graph are rational [PDF]
For the pants graph, there is little known about the behaviour of geodesics, as opposed to quasigeodesics. Brock-Masur-Minsky showed that geodesics or geodesic segments connecting endpoints satisfying a bounded combinatorics condition, such as the stable/
Irmer, Ingrid
core
Urgent ecosystem restoration is needed in a world with increasing food demands and 80% of agricultural lands degraded. Agroforestry systems (hereafter AFS), which integrate trees and crops, offer a potential solution for ecosystem restoration while providing food resources. The application of the functional trait approach is increasingly recognized for
Laura Cedillo+3 more
wiley +1 more source
The Razumov-Stroganov conjecture: Stochastic processes, loops and combinatorics
A fascinating conjectural connection between statistical mechanics and combinatorics has in the past five years led to the publication of a number of papers in various areas, including stochastic processes, solvable lattice models and supersymmetry. This
Batchelor M T+8 more
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Incidence combinatorics of resolutions
We introduce notions of combinatorial blowups, building sets, and nested sets for arbitrary meet-semilattices. This gives a common abstract framework for the incidence combinatorics occurring in the context of De Concini-Procesi models of subspace ...
Dmitry, Eva-maria Feichtner, N. Kozlov
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The Hilton–Milnor theorem in higher topoi
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley +1 more source
On the isomorphism problem for monoids of product‐one sequences
Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source