Tootfinder

Characterization of Some Graphs Realizing Regularity Bounds for Binomial Edge Ideals
Nursel Erey, Muhammed Ergen, Takayuki Hibi
https://arxiv.org/abs/2602.06524 https://arxiv.org/pdf/2602.06524 https://arxiv.org/html/2602.06524
arXiv:2602.06524v1 Announce Type: new
Abstract: In this paper, we characterize all graphs $G$ satisfying \[\operatorname{reg}(S/J_G)=\ell(G)=c(G)\] where $\ell(G)$ is the sum of the lengths of the longest induced paths in each connected component of $G$ and $c(G)$ is the number of the maximal cliques of $G$. We also characterize all connected graphs $G$ that satisfy \[\operatorname{reg}(S/J_G)=\ell(G)=|V(G)|-\omega(G) 1\] where $\omega(G)$ is the clique number of $G$. Moreover, we investigate the possible values of the regularity of $S/J_G$ within the intervals $[\ell(G), c(G)]$ and $[\ell(G), |V(G)|-\omega(G) 1]$.
toXiv_bot_toot

OpenAI says ads in ChatGPT are not eligible to appear near "sensitive or regulated topics like health, mental health or politics" (Madison Mills/Axios)
https://www.axios.com/2026/02/09/chatgpt-ads-testing-go-free

OpenAI tests ads in ChatGPT
OpenAI says it is starting to test ads for its Free and Go subscription tiers.

POL-GOE: Polizeidirektion Göttingen eröffnet mit Biker-Safety-Tour 2026 die Motorradsaison Göttingen (ots) - Göttingen, 9. April 2026 - Unter dem Motto "Du hast es in der Hand - überlasse nichts dem Unfall" startet die Polizeidirektion Göttingen auch in diesem Jahr mit ihren Biker-Safety-Touren in die neue Motorradsaison. Alle ... https://ww…

U.K. might lose a prime minister because a guy who worked for him knew another guy who hung out with Epstein.
Meanwhile the U.S. opposition party is telling our President, who was Epstein's best friend, that his secret police should get better training so their public street murders look less messy.
https://

Tim Onion (@bencollins.bsky.social)
U.K. might lose a prime minister because a guy who worked for him knew another guy who hung out with Epstein. Meanwhile the U.S. opposition party is telling our President, who was Epstein's best friend, that his secret police should get better training so their public street murders look less messy.

Lol.
Face Š la Chine, les géants américains de l’IA s'unissent pour contrer la copie de leurs modèles - RFI
https://www.rfi.fr/fr/amériques/20260407-face-à-l…

Face à la Chine, les géants américains de l’IA s'unissent pour contrer la copie de leurs modèles
C’est un fait très rare : les géants américains de l’intelligence artificielle (IA) ont décidé de s’allier pour contrer la copie de leurs modèles, notamment en Chine. Selon l’agence Bloomberg, OpenAI, Google et Anthropic collaborent désormais au sein d’un forum appelé Frontier Model Forum, créé en 2023 avec Microsoft.

A weekend of upstream bug fixing
First, gcc on arc believed that the 'fsrnd' instruction would be useful in implementing the C roundf function (hint, it's not). https://github.com/keith-packard/gcc/commit/152aa613852a2258062ecf7ac819e5eea263a5…

arc64: Disable incorrect "round" intrinsic · keith-packard/gcc@152aa61
The round intrinsic is supposed to match the IEEE roundToIntegralTiesAway operation, which is how the C roundf/round/roundl functions are defined). There is no arc instruction which matches those s...

Mike Macdonald, champion Seahawks go from hunters to hunted: 'We're target No. 1 now' https://www.nfl.com/news/mike-macdonald-champion-seahawks-hunters-to-hunted-target-no-1-now

#Lisette, a little language inspired by #Rust that compiles to #Go
https://lisett…

Niantic Spatial launches Scaniverse, a platform that lets companies and individuals create robot-ready 3D maps using phone, 360-degree camera, and drone data (Janko Roettgers/Fast Company)
https://www.fastcompany.com/91521312/niantic-pokemon-go-scanning-the-world…

ICE selects untested firms to oversee new warehouse detention centers
For decades, two companies have been the government’s go-to partners for immigrant detention:
Geo Group and CoreCivic
run the facilities where the majority of people detained by U.S. Immigration and Customs Enforcement are held.

But as the Trump administration embarks on a $38 billion plan to convert industrial warehouses into a new breed of large-scale holding centers,
it is turning to a cr…

ICE selects untested firms to oversee new warehouse detention centers
The Trump administration has picked new companies to oversee warehouse detention centers, despite their relative lack of experience in immigrant detention.