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Precoloring extension with demands on paths
Arun Kumar Das, Michal Opler, Tom\'a\v{s} Valla
https://arxiv.org/abs/2509.18936 https://arxiv.org/pdf/2509…

Precoloring extension with demands on paths
Let $G$ be a graph with a set of precolored vertices, and let us be given an integer distance parameter $d$ and a set of integer demands $d_1,\dots,d_c$. The Distance Precoloring Extension with Demands (DPED) problem is to compute a vertex $c$-coloring of $G$ such that the following three conditions hold: (i) the resulting coloring respects the colors of the precolored vertices, (ii) the distance of two vertices of the same color is at least $d$, and (iii) the number of vertices colored by colo…

hanukkah’s grotesque aftermath

Fair Vote Canada is pleased to announce the Teacher Resources section of our website. The first teacher resource has now been added.
A Fair Vote? Rights, Responsibilities, and Decision-Making in a Democracy is an exciting new resource for Grade 5 Social Studies teachers, which was developed by the Elementary Teachers of Toronto and Fair Vote Canada.

Fractional Morrey-Sobolev type embeddings and nonlocal subelliptic problems with oscillating nonlinearities on stratified Lie groups
Sekhar Ghosh, Tianxiang Gou, Vishvesh Kumar, Vicentiu D. Radulescu
https://arxiv.org/abs/2509.18587

Estimating Spatially Resolved Radiation Fields Using Neural Networks
Felix Lehner, Pasquale Lombardo, Susana Castillo, Oliver Hupe, Marcus Magnor
https://arxiv.org/abs/2512.17654 https://arxiv.org/pdf/2512.17654 https://arxiv.org/html/2512.17654
arXiv:2512.17654v1 Announce Type: new
Abstract: We present an in-depth analysis on how to build and train neural networks to estimate the spatial distribution of scattered radiation fields for radiation protection dosimetry in medical radiation fields, such as those found in Interventional Radiology and Cardiology. Therefore, we present three different synthetically generated datasets with increasing complexity for training, using a Monte-Carlo Simulation application based on Geant4. On those datasets, we evaluate convolutional and fully connected architectures of neural networks to demonstrate which design decisions work well for reconstructing the fluence and spectra distributions over the spatial domain of such radiation fields. All used datasets as well as our training pipeline are published as open source in separate repositories.
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Yeah, I got my usual DECT extension 3564 for #39C3. Register your extension on https://guru3.eventphone.de now!

Least Energy Solutions for Cooperative and Competitive Schr\"odinger Systems with Neumann Boundary Conditions
Simone Mauro, Delia Schiera, Hugo Tavares
https://arxiv.org/abs/2509.18835

Least Energy Solutions for Cooperative and Competitive Schrödinger Systems with Neumann Boundary Conditions
We study the following gradient elliptic system with Neumann boundary conditions \begin{equation*} -Δu + λ_1 u = u^3 + βuv^2, \ -Δv + λ_2 v = v^3 + βu^2 v \ \text{in } Ω,\qquad \frac{\partial u}{\partial ν} = \frac{\partial v}{\partial ν} = 0 \ \text{on } \partial Ω, \end{equation*} where $Ω\subset \mathbb{R}^N $ is a bounded $ C^2$ domain with $ N \leq 4 $, and $ ν$ denotes the outward unit normal on the boundary. We investigate the existence of non-constant least energy solutions …

China’s CO2 emissions have now been flat or falling for 18 months.
The rapid adoption of electric vehicles (EVs) saw CO2 emissions from transport fuel drop by 5% year-on-year, while there were also declines from cement and steel production.
While emissions from the power sector were flat year-on-year, a big rise in the chemical industry’s CO2 output offset reductions elsewhere.

Analysis: China’s CO2 emissions have now been flat or falling for 18 months - Carbon Brief
China’s carbon dioxide (CO2) emissions were unchanged from a year earlier in the third quarter of 2025, extending a flat or falling trend that started in March 2024.

Brock Bowers Issues True Feelings on Raiders’ Offensive Struggles https://heavy.com/sports/nfl/las-vegas-raiders/brock-bowers-offense-loss-cowboys/?adt_ei=[email]

For #Caturday, a reminder that Widget remains available for adoption in the NYC metro area. She would prefer a calm house without kids (we are not a calm house). She's super affectionate! #CatsOfMastodon