Tootfinder

Counting Small Induced Subgraphs: Scorpions Are Easy but Not Trivial
Radu Curticapean, Simon D\"oring, Daniel Neuen
https://arxiv.org/abs/2505.22300 h…

Counting Small Induced Subgraphs: Scorpions Are Easy but Not Trivial
We consider the parameterized problem $\#$IndSub$(Φ)$ for fixed graph properties $Φ$: Given a graph $G$ and an integer $k$, this problem asks to count the number of induced $k$-vertex subgraphs satisfying $Φ$. Dörfler et al. [Algorithmica 2022] and Roth et al. [SICOMP 2024] conjectured that $\#$IndSub$(Φ)$ is $\#$W[1]-hard for all non-meager properties $Φ$, i.e., properties that are nontrivial for infinitely many $k$. This conjecture has been confirmed for several restricted types of prop…

Electric fields and waves in the Venus nightside magnetosphere
Forrest Mozer, Oleksiy Agapitov, Stuart Bale, John Bonnell, Marc Pulupa, Tim Quinn, Andrii Voschchepynets
https://arxiv.org/abs/2505.12618

Electric fields and waves in the Venus nightside magnetosphere
On November 6, 2024, the Parker Solar Probe flew past Venus to make the first accurate electric field measurement in the nightside Venusian magnetosphere. To achieve this result, the electric field antennas were current biased in a way never before experienced by an electric field detector. This biasing requirement, that the positive bias current in the Venus shadow be about equal to the electron thermal current, is discussed and illustrated. About one minute of useful electric f ield data in t…