Results 41 to 50 of about 342 (179)

Sensitivity and Hamming Graphs

Journal of Graph Theory, Volume 112, Issue 3, Page 296-305, July 2026.
ABSTRACT For any m ≥ 3 we show that the Hamming graph H ( n , m ) admits an imbalanced partition into m sets, each inducing a subgraph of low maximum degree. This improves previous results by Tandya and by Potechin and Tsang, and disproves the Strong m‐ary Sensitivity Conjecture of Asensio, García‐Marco, and Knauer.
Sara Asensio, Yuval Filmus, Ignacio García‐Marco, Kolja Knauer   +3 more
wiley   +1 more source

Boyd-Maxwell ball packings [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In fact, the observed fractals are exactly the ball packings described by Boyd and Maxwell.
Hao Chen, Jean-Philippe Labbé
doaj   +1 more source

Cohomology of Coxeter groups

Topology and its Applications, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Proper 3‐realizability and second cohomology of groups on two generators of finite order

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Given an (infinite) finitely generated group G$G$, its first cohomology group H1(G;ZG)$H^1(G;{\mathbb {Z}}G)$ is free abelian and “counts” the number of ends of G$G$ which equals 1+rank(H1(G;ZG))$1 + rank (H^1(G;{\mathbb {Z}}G))$. The question whether or not for every finitely presented group G$G$ its second cohomology group H2(G;ZG)$H^2(G ...
Francisco F. Lasheras, R. Roy
wiley   +1 more source

Affine Subgroups of the Affine Coxeter Group with the Same Coxeter Number

Sultan Qaboos University Journal for Science
Affine subgroups having the same Coxeter number with the affine Coxeter groups W(An), W(Dn) and W(En) are constructed by graph folding techniques. The affine groups W(Cn) and W(Bn) are obtained from the Coxeter groups W(A2n-1) and W(D2n-2), respectively.
Nazife Ozdes Koca, Mehmet Koca
doaj   +1 more source

Generalised spin Calogero–Moser systems from Cherednik algebras

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Integrable spin Calogero–Moser type systems with non‐symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras.
Misha Feigin, Mikhail Vasilev, Martin Vrabec   +2 more
wiley   +1 more source

Some remarks on the algebraic structure of the finite Coxeter group F4

International Journal of Mathematics and Mathematical Sciences, 1999
We consider in this paper the algebraic structure and some properties of the finite Coxeter group F4.
Muhammad A. Albar, Norah Al-Saleh
doaj   +1 more source

Coxeter quotients of the automorphism group of a Coxeter group

, 2020
We show that for a large class $\mathcal{W}$ of Coxeter groups the following holds: Given a group $W_Γ$ in $\mathcal{W}$, the automorphism group ${\rm Aut}(W_Γ)$ virtually surjects onto some infinite Coxeter group. In particular, the group ${\rm Aut}(W_Γ)$ is virtually indicable and therefore does not have Kazhdan's property (T).
openaire   +2 more sources

Visual decompositions of Coxeter groups

Groups, Geometry, and Dynamics, 2009
A Coxeter system is an ordered pair (W,S) where S is the generating set in a particular type of presentation for the Coxeter group W. A subgroup of W is called special if it is generated by a subset of S. Amalgamated product decompositions of a Coxeter group having special factors and special amalgamated subgroup are easily recognized from the ...
Mihalik, Michael, Tschantz, Steven
openaire   +3 more sources

The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley   +1 more source