Tootfinder

Bounding the Eviction Number of a Graph in Terms of its Independence Number
Gary MacGillivray, Christina Mynhardt, Virgelot Virgile
https://arxiv.org/abs/2509.19535 https://

Bounding the Eviction Number of a Graph in Terms of its Independence Number
An eternal dominating family of graph $G$ in the eviction game is a collection $\mathcal{D}_{k}=\{D_{1},...,D_{l}\}$ of dominating sets of $G$ such that (a) $|D_{i}|=|D_{j}|$ for all $i,j\in\{1,2,...,l\}$, and (b) for any $i\in \{1,2,...,l\}$ and any $v\in D_{i}$, either all neighbours of $v$ belong to $D_{i}$, or there are a neighbour $w$ of $v$ not in $D_{i}$ and an integer $j\in\{1,2,...,l\}\setminus\{i\}$ such that $D_{i}\cup\{w\}\setminus \{v\}=D_{j}$. The eviction numb…

RE: https://infosec.exchange/@beyondmachines1/115695635132911608
Shai-hulud, notepad ,...
I have a log4shell feeling. Can we please have no severe attack before my Christmas holidays?

Twist dominates bending in the liquid crystal organization of bacteriophage DNA
Pei Liu, Tamara Christiani, Zhijie Wang, Fei Guo, Mariel Vazquez, M. Carme Calderer, Javier Arsuaga
https://arxiv.org/abs/2510.04408

Twist dominates bending in the liquid crystal organization of bacteriophage DNA
DNA frequently adopts liquid-crystalline conformations in both cells and viruses. The Oseen--Frank framework provides a powerful continuum description of these phases through three elastic moduli: splay ($K_1$), twist or cholesteric ($K_2$), and bending ($K_3$). While $K_1$ is typically assumed to dominate, the relative magnitude of $K_2$ and $K_3$ in confined DNA remains poorly understood. Here, we combine cryo-electron microscopy, liquid-crystal modeling, and knot theory to quantify this rela…

🇺🇦 #NowPlaying on #BBC6Music's #NickGrimshaw
Otis Redding:
🎵 Merry Christmas Baby
#OtisRedding
#Christmas)

Atomic bonding in equilibrium single-component melts. The cases of arsenic, antimony and bismuth
Artem A. Tsygankov, Bulat N. Galimzyanov, Anatolii V. Mokshin
https://arxiv.org/abs/2510.10186

Atomic bonding in equilibrium single-component melts. The cases of arsenic, antimony and bismuth
In liquid pnictogens, quasi-stable structures can be formed near melting temperature. The nature of their stability does not have the unified point of view. In the present work, the task of determining the degree of atomic bonding in these structures is solved using the Crystal Orbital Hamilton Population (COHP) method. The original results of ab-initio simulation of arsenic, antimony and bismuth melts near their melting temperatures are used. It is shown that the features of the electron inter…

{tesseract} allows you to read text from images https://docs.ropensci.org/tesseract/ it can also be combined with {magick} https://ropen…

Open Source OCR Engine
Bindings to Tesseract: a powerful optical character recognition (OCR) engine that supports over 100 languages. The engine is highly configurable in order to tune the detection algorithms and obtain the best possible results.

The mass of $^{101}$Sn and Bayesian extrapolations to the proton drip line
Christian M. Ireland, Georg Bollen, Scott E. Campbell, Xiangcheng Chen, Hannah Erington, Nadeesha D. Gamage, Kyle Godbey, Alicen M. Houff, Christopher Izzo, Bailey Knight, Sudhanva Lalit, Erich Leistenschneider, E. Marilena Lykiardopoulou, Franziska M. Maier, Witold Nazarewicz, Rodney Orford, William S. Porter, Caleb Quick, Ante Ravlic, Matthew Redshaw, Paul-Gerhard Reinhard, Ryan Ringle, Stefan Schwarz, Chandan…

The mass of $^{101}$Sn and Bayesian extrapolations to the proton drip line
The favorable energy configurations of nuclei at magic numbers of ${N}$ neutrons and ${Z}$ protons are fundamental for understanding the evolution of nuclear structure. The ${Z=50}$ (tin) isotopic chain is a frontier for such studies, with particular interest in nuclear binding at and around the doubly-magic \textsuperscript{100}Sn isotope. Precise mass measurements of neutron-deficient isotopes provide necessary anchor points for mass models to test extrapolations near the proton drip line, wh…

Was machen wir denn eigentlich mit BlueSky?
Würdigen wir, dass die überwiegende Userschaft gewisse Neuankömmlinge in einer #Blockorgie gekickt hat?
Empören wir uns, dass sich im zentralistischen Netzwerk zweifelhafte Charaktere tummeln, und beenden das Bridging vom #Fediverse? (BTW,…

Bluesky hits 40 million users, introduces 'dislikes' beta | TechCrunch
Bluesky is looking to a new signal — "dislikes" — to personalize users' feeds.

📣 Die Shortlist des 4. Culture Music Awards wurde veröffentlicht! Insbesondere wurden Projekte gewürdigt, die sich Massenmedien widmen, von Choralbüchern, Social Media bis hin zu YouTube.
🚀 Drei KandidatInnen wurden von der Jury ausgewählt.
🌟 Aida Amiryan-Stein (Universität Paderborn)
🌟 Henrik Schuld (Hochschule für Musik Mainz, Abteilung Musiktheorie)
🌟 Christoph Hust (Hochschule für Musik und Theater Leipzig)
Wir drücken allen die Daumen🍀
➡️

Flow Coupling Alters Topological Phase Transition in Nematic Liquid Crystals
Jayeeta Chattopadhyay, Simon Guldager Andersen, Kristian Thijssen, Amin Doostmohammadi
https://arxiv.org/abs/2510.08282

Flow Coupling Alters Topological Phase Transition in Nematic Liquid Crystals
We investigate how coupling to fluid flow influences defect-mediated transitions in two-dimensional passive nematic fluids using fluctuating nematohydrodynamic simulations. The system is driven by tuning the fluctuation strength, with increasing (decreasing) fluctuations defining the forward (backward) protocol. In the absence of flow coupling, the transition follows the Berezinskii--Kosterlitz--Thouless (BKT) scenario, governed by reversible binding and unbinding of $\pm 1/2$ defect pairs. Whe…