Tootfinder

Excellent papier.
https://www.lemonde.fr/idees/article/2025/06/05/la-concomitance-entre-le-reveil-de-l-ultradroite-et-une-croissance-durablement-atone-en-…

« La concomitance entre le réveil de l’ultradroite et une croissance durablement atone en Europe est frappante »
Dans sa chronique, Alain Frachon, éditorialiste au « Monde » tente d’expliquer pour quelles raisons les partis d’extrême droite gagnent du terrain à travers le continent, élection après élection.

Enumerating Cayley digraphs on dihedral groups
Zai Ping Lu, Jia Yin Xie, Jin-Hua Xie
https://arxiv.org/abs/2507.21658 https://arxiv.org/pdf/2507.21658

Enumerating Cayley digraphs on dihedral groups
This paper investigates the enumeration of Cayley digraphs, focusing on counting Cayley digraphs on dihedral groups up to CI-isomorphism. By leveraging the Cauchy-Frobenius Lemma and properties of automorphisms, we derive an explicit formula for the number of non-isomorphic Cayley digraphs on dihedral groups with DCI-property, particularly for the group $\mathrm{D}_{6p}$ with $p>3$ a prime. The enumeration involves detailed analysis of cycle numbers of automorphisms and their actions on the gro…

Counting biquadratic number fields with quaternionic and dihedral extensions
Louis M. Gaudet, Siman Wong
https://arxiv.org/abs/2506.21522 https://

Counting biquadratic number fields with quaternionic and dihedral extensions
We establish asymptotic formulae for the number of biquadratic number fields of bounded discriminant that can be embedded into a quaternionic or a dihedral extension. To prove these results, we express the solvability of these inverse Galois problems in terms of Hilbert symbols, and then apply a method of Heath-Brown to bound sums of linked quadratic characters.

Cell-Scale Dynamic Modeling of Membrane Interactions with Arbitrarily Shaped Particles
Didarul Ahasan Redwan, Justin Reicher, Xin Yong
https://arxiv.org/abs/2506.02376

Cell-Scale Dynamic Modeling of Membrane Interactions with Arbitrarily Shaped Particles
Modeling membrane interactions with arbitrarily shaped colloidal particles, such as environmental micro- and nanoplastics, at the cell scale remains particularly challenging, owing to the complexity of particle geometries and the need to resolve fully coupled translational and rotational dynamics. Here, we present a force-based computational framework capable of capturing dynamic interactions between deformable lipid vesicles and rigid particles of irregular shapes. Both vesicle and particle su…

Perturbation Effects on Word Lengths in Three-Reflection Symmetric Presentations of Dihedral Groups
Michael Allocca, Max Trimmer
https://arxiv.org/abs/2506.19216

Perturbation Effects on Word Lengths in Three-Reflection Symmetric Presentations of Dihedral Groups
We investigate the properties of word lengths of elements from a three-reflection symmetric generating set of the dihedral group $D_n$. More specifically, we provide upper bounds for a quantity $λ_1$, which measures the stability of a group under perturbations in the words corresponding to certain elements with respect to specific presentations.

Roger Goodell addresses NYC office shooting in emotional interview ahead of NFL Hall of Fame game https://www.nytimes.com/athletic/6528172/2025/07/31/nfl-hall-of-fame-game-goodell-nyc-shooting/

Multi-entropy and the Dihedral Measures at Quantum Critical Points
Jonathan Harper, Ali Mollabashi, Tadashi Takayanagi, Kenya Tasuki
https://arxiv.org/abs/2506.10396

Multi-entropy and the Dihedral Measures at Quantum Critical Points
The multi-entropy and dihedral measures are a class of tractable measures for multi-partite entanglement, which are labeled by the Rényi index (or replica number) $n$ as in the Rényi entanglement entropy. The purpose of this article is to demonstrate that these quantities are new useful probes of quantum critical points by examining concrete examples. In particular, we compute the multi-entropy and dihedral measures in the $1+1$ dimensional massless free scalar field theory on a lattice and i…

This https://arxiv.org/abs/2505.19677 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Perfect codes in quartic Cayley graphs of generalized dihedral groups
For a graph $Γ=(VΓ,EΓ)$, a subset $D$ of $VΓ$ is a perfect code in $Γ$ if every vertex of $Γ$ is dominated by exactly one vertex in $D$. In this paper, we classify all connected quartic Cayley graphs on generalized dihedral groups admitting a perfect code, and determine all perfect codes in such graphs.

This https://arxiv.org/abs/2411.03170 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Commuting Conjugacy Class Graphs of Finite Groups and the Hansen-Vukičević Conjecture
In this work, we compute the first and second Zagreb indices for the commuting conjugacy class graphs associated with finite groups. We identify multiple classes of finite groups whose commuting conjugacy class graphs are shown to satisfy the Hansen-Vuki{č}evi{ć} conjecture. Specifically, we prove that the conjecture holds for the commuting conjugacy class graphs of dihedral groups ($D_{2m}$), dicyclic groups, semidihedral groups, and various other two-generator groups. Moreover, we examine t…

Embedding a Praeger-Xu graph into a surface
Zhaochen Ding, Zheng Guo, Luyi Liu
https://arxiv.org/abs/2507.01716 https://arxiv.org/pdf…

Embedding a Praeger-Xu graph into a surface
Rotary maps (orientably regular maps) are highly symmetric graph embeddings on orientable surfaces. This paper classifies all rotary maps whose underlying graphs are Praeger-Xu graphs, denoted $\operatorname{C}(p,r,s)$, for any odd prime $p$ that does not divide $r$. Our main result establishes a one-to-one correspondence between the isomorphism classes of these maps and the multiplicity-free representations of the dihedral group $\operatorname{D}_{2r}$ over the finite field $\mathbb{F}_p$. Thi…