Results 41 to 50 of about 305,985 (193)

Conformal Hypergraphs: Duality and Implications for the Upper Clique Transversal Problem

Journal of Graph Theory, EarlyView.
ABSTRACT Given a hypergraph H ${\rm{ {\mathcal H} }}$, the dual hypergraph of H ${\rm{ {\mathcal H} }}$ is the hypergraph of all minimal transversals of H ${\rm{ {\mathcal H} }}$. The dual hypergraph is always Sperner, that is, no hyperedge contains another.
Endre Boros, Vladimir Gurvich, Martin Milanič, Yushi Uno   +3 more
wiley   +1 more source

An inverse Grassmannian Littlewood–Richardson rule and extensions

Forum of Mathematics, Sigma
Chow rings of flag varieties have bases of Schubert cycles $\sigma _u $ , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula for the structure constants of this basis.
Oliver Pechenik, Anna Weigandt
doaj   +1 more source

A Formal Account of Structuring Motor Actions With Sensory Prediction for a Naive Agent

Frontiers in Robotics and AI, 2020
For naive robots to become truly autonomous, they need a means of developing their perceptive capabilities instead of relying on hand crafted models.
Jean-Merwan Godon, Sylvain Argentieri, Bruno Gas   +2 more
doaj   +1 more source

Applications of Algebraic Combinatorics to Algebraic Geometry [PDF]

arXiv, 2020
We formulate a number of new results in Algebraic Geometry and outline their derivation from Theorem 2.12 which belongs to Algebraic Combinatorics.
arxiv  

Coding Theory and Algebraic Combinatorics

, 2008
This chapter introduces and elaborates on the fruitful interplay of coding theory and algebraic combinatorics, with most of the focus on the interaction of codes with combinatorial designs, finite geometries, simple groups, sphere packings, kissing ...
Huber, Michael
core   +2 more sources

Geometric, Algebraic, and Topological Combinatorics [PDF]

, 2019
The 2019 Oberwolfach meeting "Geometric, Algebraic and Topological Combinatorics" was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg).

core   +2 more sources

Abstract involutions of algebraic groups and of Kac-Moody groups [PDF]

, 2010
Based on the second author's thesis in this article we provide a uniform treatment of abstract involutions of algebraic groups and of Kac-Moody groups using twin buildings, RGD systems, and twisted involutions of Coxeter groups. Notably we simultaneously
Berger M., Bernhard Mühlherr, Bruhat F., Caprace P.-E., De Medts T., Gramlich R., Max Horn, Medts T. De, Nagao H., Ralf Gramlich   +9 more
core   +2 more sources

The Hilton–Milnor theorem in higher topoi

Bulletin of the London Mathematical Society, EarlyView.
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

Counting quadrant walks via Tutte's invariant method (extended abstract) [PDF]

Discrete Mathematics & Theoretical Computer Science, 2020
Extended abstract presented at the conference FPSAC 2016, Vancouver.
Olivier Bernardi, Mireille Bousquet-Mélou, Kilian Raschel   +2 more
doaj   +1 more source

On the isomorphism problem for monoids of product‐one sequences

Bulletin of the London Mathematical Society, EarlyView.
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