Results 141 to 150 of about 92,446 (202)

On universal‐homogeneous hyperbolic graphs and spaces and their isometry groups

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract The Urysohn space is the unique separable metric space that is universal and homogeneous for finite metric spaces, that is, it embeds any finite metric space any isometry between finite subspaces extends to an isometry of the whole space. We here consider the existence of a universal‐homogeneous hyperbolic space. We show that for δ>0$\delta >0$
Katrin Tent
wiley   +1 more source

Zarankiewicz bounds from distal regularity lemma

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Since Kővári, Sós and Turán proved upper bounds for the Zarankiewicz problem in 1954, much work has been undertaken to improve these bounds, and some have done so by restricting to particular classes of graphs. In 2017, Fox, Pach, Sheffer, Suk and Zahl proved better bounds for semialgebraic binary relations, and this work was extended by Do in
Mervyn Tong
wiley   +1 more source

Groups with conjugacy classes of coprime sizes

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina   +8 more
wiley   +1 more source

Diophantine tuples and product sets in shifted powers

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley   +1 more source

Unmixed bipartite graphs

open access: yes, 2006
In this note we give a combinatorial characterization of all the unmixed bipartite graphs.
openaire   +4 more sources

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