Tootfinder

"Samsung Galaxy G Fold": Hinweise auf Tri-Fold-Gerät in One UI 8 entdeckt
Samsung erstes Tri-Fold-Smartphone könnte im Zuge des Unpacked-Events am 9. Juli präsentiert werden. Hinweise zu dem Gerät sind in One UI 8 entdeckt worden.

The anomalous magnetic moment of the muon in the Standard Model - an update: #muon: https://nachrichten.idw-online.de/2025/06/03/muon-g-2-collaboration-announces-most-precise-measurement-of-the-anomalous-magnetic-moment-of-the-muon

G.Klimpa – Mixtum Compositum
#bass

Not every graph can be reconstructed from its boundary distance matrix
Jos\'e C\'aceres, Ignacio M. Pelayo
https://arxiv.org/abs/2506.02652 https:/…

Not every graph can be reconstructed from its boundary distance matrix
A vertex $v$ of a connected graph $G$ is said to be a boundary vertex of $G$ if for some other vertex $u$ of $G$, no neighbor of $v$ is further away from $u$ than $v$. The boundary $\partial(G)$ of $G$ is the set of all of its boundary vertices. The boundary distance matrix $\hat{D}_G$ of a graph $G=([n],E)$ is the square matrix of order $κ$, being $κ$ the order of $\partial(G)$, such that for every $i,j\in \partial(G)$, $[\hat{D}_G]_{ij}=d_G(i,j)$. In a recent paper [doi.org/10.7151/dmgt…

Recognition by the set of exponents in the prime factorization of the product of element orders
Morteza Baniasad Azad, Mostafa Arabtash
https://arxiv.org/abs/2507.02594

Recognition by the set of exponents in the prime factorization of the product of element orders
Let $G$ be a finite group. Let $ρ(G) = \prod_{g \in G} o(g)={p_1}^{α_1} {p_2}^{α_2} \cdots {p_k}^{α_k}$, where $p_1, p_2, \cdots, p_k$ are distinct prime numbers and $o(g)$ denotes the order of $g \in G$. The set of exponents in the prime factorization of the product of element orders is denoted by $ {\operatorname{Exp}}_ρ(G)$, i.e., $ {\operatorname{Exp}}_ρ(G)=\{α_1,α_2, \cdots,α_k\}$. In this paper, we give a new characterization for some groups by $ {\operatorname{Exp}}_ρ(G)$. We p…

GOA to File "One Big Beautiful Lawsuit" Against NFA Registry as "One Big Beautiful Bill" Heads to President's Desk (Felisha Bull/GOA)
https://www.gunowners.org/goa-to-file-one-big-beautiful-lawsuit-against-nfa-registry-as-one-big-beautiful-bill-heads-to-presidents-desk/
http://www.memeorandum.com/250704/p73#a250704p73

This https://arxiv.org/abs/2203.15681 has been replaced.
link: https://scholar.google.com/scholar?q=a

Arbitrarily small spectral gaps for random hyperbolic surfaces with many cusps
Let $\mathcal{M}_{g,n(g)}$ be the moduli space of hyperbolic surfaces of genus $g$ with $n(g)$ punctures endowed with the Weil-Petersson metric. In this paper we study the asymptotic behavior of the Cheeger constants and spectral gaps of random hyperbolic surfaces in $\mathcal{M}_{g,n(g)}$, when $n(g)$ grows slower than $g$ as $g\to \infty$.

This https://arxiv.org/abs/2311.07308 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Graded Betti numbers of a hyperedge ideal associated to join of graphs
Let $G$ be a finite simple graph on the vertex set $V(G)$ and let $r$ be a positive integer. We consider the hypergraph $\mathrm{Con}_r(G)$ whose vertices are the vertices of $G$ and the (hyper)edges are all $A\subseteq V(G)$ such that $|A|=r+1$ and the induced subgraph $G[A]$ is connected. The (hyper)edge ideal $I_r(G)$ of $\mathrm{Con}_r(G)$ is also the Stanley-Reisner ideal of a generalisation of the independence complex of $G$, called the $r$-independence complex $\mathrm{Ind}_r(G…

This https://arxiv.org/abs/2506.00689 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Mutual-visibility of the disjointness graph of segments in ${\mathbb R}^2$
Let $G=(V(G),E(G))$ be a simple graph, and let $U\subseteq V(G)$. Two distinct vertices $x,y\in U$ are $U$-mutually visible if $G$ contains a shortest $x$-$y$ path that is internally disjoint from $U$. $U$ is called a mutual-visibility set of $G$ if any two vertices of $U$ are $U$-mutually visible. The mutual-visibility number $μ(G)$ of $G$ is the size of a largest mutual-visibility set of $G$. Let $P$ be a set of $n\geq 3$ points in ${\mathbb R}^2$ in general position. The disjointness graph …

This https://arxiv.org/abs/2409.01043 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On derangements in simple permutation groups
Let $G \leqslant {\rm Sym}(Ω)$ be a finite transitive permutation group and recall that an element in $G$ is a derangement if it has no fixed points on $Ω$. Let $Δ(G)$ be the set of derangements in $G$ and define $δ(G) = |Δ(G)|/|G|$ and $Δ(G)^2 = \{ xy \,:\, x,y \in Δ(G)\}$. In recent years, there has been a focus on studying derangements in simple groups, leading to several remarkable results. For example, by combining a theorem of Fulman and Guralnick with recent wo…