Results 41 to 50 of about 11,648,998 (193)
The Chromatic Number of Kneser Hypergraphs via Consensus Division [PDF]
We show that the Consensus Division theorem implies lower bounds on the chromatic number of Kneser hypergraphs, offering a novel proof for a result of Alon, Frankl, and Lovász (Trans. Amer. Math. Soc., 1986) and for its generalization by Kř\\u27ıž (Trans.
Haviv, Ishay
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On the Euler characteristic of S$S$‐arithmetic groups
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
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Path Decompositions of the Kneser Graph [PDF]
, 2013 Necessary and sufficient conditions are given for the existence of a graph decomposition of the Kneser Graph $KG_{n,2}$ into paths of length three and four, and of the Generalized Kneser Graph $GKG_{n,3,1}$ into paths of length three. A solution is also
Whitt, Thomas Richard, III
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Kneser's theorems for strong, weak and pseudo-solutions of ordinary differential equations in Banach spaces [PDF]
Annales Polonici Mathematici, 1995 Consider the Cauchy problem (1) \(x' = f(t,x)\), \(x(0) = x_0\) in a Banach space \(E\). Let \(J = [0,T]\) and \(B_r = B (\theta, r)\) be the ball in the space \(E\). Assume that \(t \to f (t,x(t))\) is a Pettis integrable function for each strongly absolutely continuous function \(x : J \to E\).
Cichoń, Mieczysław +1 more
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Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius
Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
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Symmetry, 2023 This study aims to investigate the oscillatory behavior of the solutions of an even-order delay differential equation with distributed deviating arguments. We first study the monotonic properties of positive decreasing solutions or the so-called Kneser solutions.
Shaimaa Elsaeed +3 more
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A full classification of the isometries of the class of ball‐bodies
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3691-3698, December 2025.Abstract Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball‐bodies, endowed with the Hausdorff metric. ‘Ball‐bodies’ are convex bodies which are intersections of translates of the Euclidean unit ball.
Shiri Artstein‐Avidan +2 more
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Normal covering numbers for Sn$S_n$ and An$A_n$ and additive combinatorics
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3307-3325, November 2025.Abstract The normal covering number γ(G)$\gamma (G)$ of a noncyclic group G$G$ is the minimum number of proper subgroups whose conjugates cover the group. We give various estimates for γ(Sn)$\gamma (S_n)$ and γ(An)$\gamma (A_n)$ depending on the arithmetic structure of n$n$. In particular we determine the limsups over γ(Sn)/n$\gamma (S_n) / n$ and γ(An)
Sean Eberhard, Connor Mellon
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Asymmetric graphs with quantum symmetry
Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.Abstract We present an infinite sequence of finite graphs with trivial automorphism group and non‐trivial quantum automorphism group. These are the first known examples of graphs with this property. Moreover, to the best of our knowledge, these are the first examples of any asymmetric classical space that has non‐trivial quantum symmetries.
Josse van Dobben de Bruyn +2 more
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The Kneser property of the weak solutions of the three dimensional Navier-Stokes equations
Discrete and Continuous Dynamical Systems, 2010 The Kneser theorem for ordinary differential equations without uniqueness says that the attainability set is compact and connected at each instant of time. We establish corresponding results for the attainability set of weak solutions for the 3D Navier-Stokes equations satisfying an energy inequality.
Peter E. Kloeden, José Valero
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