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Extremal Zagreb indices of bicyclic hypergraphs
Hong Zhou, Changjiang Bu
https://arxiv.org/abs/2506.08875 https://arxiv.org/pdf/2506.…

Extremal Zagreb indices of bicyclic hypergraphs
The Zagreb index of a hypergraph is defined as the sum of the squares of the degrees of its vertices. A connected $k$-uniform hypergraph with $n$ vertices and $m$ edges is called bicyclic if $n=m(k-1)-1$. In this paper, we determine the hypergraphs with the maximum and minimum Zagreb indices among all linear bicyclic uniform hypergraphs.

Christian Klein, SAP-Chef, warnt: Mit US-Hyperscalern wie AWS, Azure und Google Cloud zu konkurrieren, indem Europa zig Rechenzentren baut, ist „völlig verrückt“. Die Lösung? Nicht Infrastruktur, sondern intelligente KI-Anwendungen machen Europa stark! Die Zukunft liegt in smarter KI, nicht in digitalen Kraftmeiereien gegen US-Riesen. #Golem

SAP-Chef: "Mit US-Hyperscalern zu konkurrieren, ist völlig verrückt" - Golem.de
In Frankreich und anderswo in Europa viele neue Rechenzentren zu bauen, sei eine völlig falsch umgesetzte Souveränität. SAP-Chef Christian Klein schlägt etwas anderes vor.

This https://arxiv.org/abs/2506.06155 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCV_…

A Novel Large-scale Crop Dataset and Dual-stream Transformer Method for Fine-grained Hierarchical Crop Classification from Integrated Hyperspectral EnMAP Data and Multispectral Sentinel-2 Time Series
Fine-grained crop classification is crucial for precision agriculture and food security monitoring. It requires simultaneous capture of both phenological dynamics (obtained from multi-temporal satellite data like Sentinel-2) and subtle spectral variations (demanding nanometer-scale spectral resolution from hyperspectral imagery). Research combining these two modalities remains scarce currently due to challenges in hyperspectral data acquisition and crop types annotation costs. To address these …

Low degree subvarieties of universal hypersurfaces
Yifeng Huang, Borys Kadets, Olivier Martin
https://arxiv.org/abs/2506.08848 https://

Low degree subvarieties of universal hypersurfaces
We study irreducible subvarieties $Z$ of the universal hypersurface $\mathcal{X}/B$ of degree $d$ and dimension $n$. We prove that when $d$ is sufficiently large, degree $kd$ subvarieties $Z$ which dominate $B$ come from intersection with a family of degree $k$ projective varieties parametrized by $B$. This answers a question raised independently by Farb and Ma. Our main tools consist of a Grassmannian technique due to Riedl and Yang, a theorem of Mumford-Roitman on rational equivalence of zero…

Monogenic functions over real alternative *-algebras: the several hypercomplex variables case
Zhenghua Xu, Chao Ding, Haiyan Wang
https://arxiv.org/abs/2506.08307

Monogenic functions over real alternative *-algebras: the several hypercomplex variables case
The notion of monogenic (or regular) functions, which is a correspondence of holomorphic functions, has been studied extensively in hypercomplex analysis, including quaternionic, octonionic, and Clifford analysis. Recently, the concept of monogenic functions over real alternative $\ast$-algebras has been introduced to unify several classical monogenic functions theories. In this paper, we initiate the study of monogenic functions of several hypercomplex variables over real alternative $\ast$-al…

On the exterior power structure of the cohomology groups for the general hypergeometric integral
Hironobu Kimura
https://arxiv.org/abs/2506.09382 https://

On the exterior power structure of the cohomology groups for the general hypergeometric integral
In this article we study the exterior power structure of the algebraic de Rham cohomology group associated with the Gelfand hypergeometric function and its confluent family. The hypergeometric function F(z) is a function on the Zariski open subset $Z_{r+1}\subset\mat{r+1,N}$, called the generic stratum, defined by an r-dimesional integral on $\Ps^{r}$. For $z\in Z_{r+1}$, the algebraic de Rham cohomology group is associated to the integral. When z belongs to the particular subset of $Z_{r+1}$, …

peace to bill atkinson, who came up with the idea for hypercard while he was on acid. #Tech #apple #psychedelic

The Psychedelic Inspiration For Hypercard – Mondo 2000
by Bill Atkinson, as told to Leo Laporte In 1985 I swallowed a tiny fleck of gelatin containing a medium dose of LSD, and I spent most of the night sitting on a

Uniform \v{S}olt\'es' hypergraphs and \v{S}olt\'es' weighted graphs
Stijn Cambie, Ajay Tiwari
https://arxiv.org/abs/2506.07511 https://

Uniform Šoltés' hypergraphs and Šoltés' weighted graphs
A Šoltés' hypergraph is a hypergraph for which the removal of any of its vertices does not change its total distance. We prove that every uniform Šoltés' hypergraph has order at least $10$, there exist uniform Šoltés' hypergraphs for almost every order or uniformity, and there exist a non-regular uniform Šoltés' hypergraph. By also providing infinitely many weighted Šoltés' graphs, we conclude that Šoltés' problem can be answered positively for the most natural generalisations of gr…

Minimal hypergraph non-jumps
Benedict Randall Shaw
https://arxiv.org/abs/2506.09620 https://arxiv.org/pdf/2506.09620

Minimal hypergraph non-jumps
An $r$-uniform hypergraph, or $r$-graph, has density $|E(G)|/|V(G)^{(r)}|$. We say $α$ is a jump for $r$-graphs if there is some constant $δ=δ(α)$ such that, for each $\varepsilon>0$ and $n\geq r$, any sufficiently large $r$-graph of density at least $\varepsilon$ has a subgraph of order $n$ and density at least $α+δ$. For $r=2$, all $α$ are jumps. For $r\geq 3$, Erdős showed all $[0,\frac{r!}{r^r})$ are jumps, and conjectured all $[0,1)$ are jumps. Since then, a var…

This https://arxiv.org/abs/2504.05039 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Supports for Outerplanar and Bounded Treewidth Graphs
We study the existence and construction of sparse supports for hypergraphs derived from subgraphs of a graph $G$. For a hypergraph $(X,\mathcal{H})$, a support $Q$ is a graph on $X$ s.t. $Q[H]$, the graph induced on vertices in $H$ is connected for every $H\in\mathcal{H}$. We consider \emph{primal}, \emph{dual}, and \emph{intersection} hypergraphs defined by subgraphs of a graph $G$ that are \emph{non-piercing}, (i.e., each subgraph is connected, their pairwise differences remain connected). …