Tootfinder

Odd list-coloring of graphs of small Euler genus with no short cycles of specific types
Rishi Balaji, Victoria Khazhinsky, Chun-Hung Liu, Kevin Qin
https://arxiv.org/abs/2508.15255

Odd list-coloring of graphs of small Euler genus with no short cycles of specific types
Odd coloring is a variant of proper coloring and has received wide attention. We study the list-coloring version of this notion in this paper. We prove that if $G$ is a graph embeddable in the torus or the Klein bottle with no cycle of length 3, 4, and 6 such that no 5-cycles share an edge, then for every function $L$ that assigns each vertex of $G$ a set $L(v)$ of size 5, there exists a proper coloring that assigns each vertex $v$ of $G$ an element of $L(v)$ such that for every non-isolated ve…

They're putting blue food coloring in everything...
#AI

They're putting blue food coloring in everything
"Why is my burger blue?" I asked, innocently. "Oh! We're making all of our food blue, all the best restaurants are doing it now." the waiter explained. But I didn't want my burger to be blue.

It would be very interesting to see the RAMS and risk assessment for installing the Butts exhibition at the #WhitechapelGallery.
#Registrar
#RiskAssessment

Victoria Shynkar and her colleagues, who work for the demining charity the Halo Trust,
uncovered 243 TM-62 Soviet-designed anti-tank mines left by the Russian army in a neighbouring field.
A chunky and intimidating 32-centimetres in diameter and 13-cm-wide,
the TM-62 contains 7.5 kilos of TNT and can puncture a tank if triggered. 
The presence of landmines and other unexploded ordnance is a significant issue in Ukraine,
impacting civilians and Ukraine’s agricultu…

Ukraine’s Contaminated Land: Clearing Landmines With Rakes, Tractors and Drones - bellingcat
This story was produced in partnership with Agence France-Presse (AFP). In a field near the small town of Bezymenne in southern Ukraine, Viktoria Shynkar carefully picks out a narrow path through the overgrown grass in front of her.  This small corridor of farmland in Mykolaiv Oblast will be checked for the presence of landmines and […]

«The Clearing». El cuarto disco de estudio de la banda britšnica Wolf Alice. Es parte de los lanzamientos de esta semana.
#WolfAlice

JD Vance Knows Who Belongs (Jamelle Bouie/New York Times)
https://www.nytimes.com/2025/07/23/opinion/jd-vance-claremont-american-citizen.html
http://www.memeorandum.com/250723/p29#a250723p29

Kiel Munition Clearance Week: Warum Munition aus dem Meer entfernt werden muss
Nord- und Ostsee sind stark mit Munition belastet. Experten suchen auf der Munition Clearance Week in Kiel nach Lösungen, die Altlasten möglichst zu entfernen.

Lt. Gen. William J. Hartman, acting N.S.A. director, asked Tulsi Gabbard for evidence to back her claim that chief scientist Vinh Nguyen committed crimes sufficient to justify revoking his clearance and received no answer.
https://www.nytimes.com/2025/08/20/us/poli

N.S.A.’s Acting Director Tried to Save Top Scientist From Purge
Vinh Nguyen, an expert in artificial intelligence and advanced mathematics, was among the current and former officials whose security clearances were revoked by the president.

Clearingstelle Urheberrecht: Gremium für Websperren setzt künftig auf die Justiz
Die private "Clearingstelle Urheberrecht im Internet" lässt fortan jede eigene Empfehlung für DNS-Sperren von Webseiten durch Gerichte im Einzelfall prüfen.

Injective (edge) colorings of generalized Sierpi\'{n}ski graphs
C. K. Bhanupriya, Bo\v{s}tjan Bre\v{s}ar
https://arxiv.org/abs/2508.14479 https://arxiv…

Injective (edge) colorings of generalized Sierpiński graphs
Generalized Sierpiński graphs constitute a distinctive class of fractal-like networks, whose self-similar properties have attracted growing attention. In particular, a number of graph invariants have been studied in generalized Sierpiński graphs. In this paper, we focus on injective colorings of this class of graphs, both the vertex and the edge version. The vertex version of injective colorings in generalized Sierpiński graphs was initiated in [Injective colorings of Sierpiński-like graphs…