Tootfinder

chess: Kaggle chess players (2010)
A network among chess players (nodes) giving the chess match outcomes (edges), for game-by-game results among the world’s top chess players. The direction of edge (i,j) denotes white player (i) and black player (j). Each edge is timestamped (approximate). Edge sign is 1 for a win by white, 0 for draw, and -1 for a win by black.
This network has 7301 nodes and 65053 edges.
Tags: Social, Offline, Signed, Timestamps

Proof of a conjecture on isolation of graphs with a universal vertex
Peter Borg, Alastair Farrugia
https://arxiv.org/abs/2506.09290 https://

Proof of a conjecture on isolation of graphs with a universal vertex
A copy of a graph $F$ is called an $F$-copy. For any graph $G$, the $F$-isolation number of $G$, denoted by $ι(G,F)$, is the size of a smallest subset $D$ of the vertex set of $G$ such that the closed neighbourhood $N[D]$ of $D$ in $G$ intersects the vertex sets of the $F$-copies contained by $G$ (equivalently, $G-N[D]$ contains no $F$-copy). Thus, $ι(G,K_1)$ is the domination number $γ(G)$ of $G$, and $ι(G,K_2)$ is the vertex-edge domination number of $G$. Settling a conjecture of Zhang an…

My son's becoming a true master with #WorldPainter & #WorldMachine and has been creating some stunning and super detailed landscapes (not just alpines ones) for #Minecraft/Ardacraft/…

Nekso (@Nekso@mastodon.gamedev.place)
Attached: 2 images The new map is officially out! Download here: https://www.planetminecraft.com/project/etelande-free-custom-realistic-minecraft-mountain-range-2-5k-x-2-5k-1-21-5/ #minecraft #minecraftmap #terrain

In Little Tokyo, a five-block neighborhood east of downtown Los Angeles that is among the country’s largest Japanese American enclaves,
news often gets delivered and shared at the century-old koban.
It’s a community security office similar to those in Japan,
housed in a former police substation and named after a local hero from World War II.

Brian Kito stood on the sidewalk outside the koban Wednesday,
surveying the street that’s become a hot spot of activity a…

Solidarity and dismay in a neighborhood on the edge of the L.A. protests
Historic Little Tokyo, one of the largest enclaves of Japanese Americans in the country, is supporting protests over the immigration raids — with a caveat.

“Our republic is worth fighting for.”
Patrick G. Eddington
“Resist and Heal,” my friends. Citizenship is not a spectator sport. “Finding and sharing trusted voices” is a critical part of the anti-fascist work to which we are now called.
More on: https://

Resist and Heal on Substack
[PODCAST] How Trump is Using the Surveillance State Against Us (w/ Patrick G. Eddington) by #ReImagingLiberty https://pca.st/episode/bd03d667-195d-4b68-b70b-b1250f44d3a5 #book2read: The Triumph of Fear: Domestic Surveillance and Political Repression from McKinley to Eisenhower by Patrick G. Eddington https://a.co/d/9MyvSpM #surveillance #LawEnforcement #police #privacy #QuietSkies #SilentPartner #ethics #WatchList #ConCW

Honor Education, an e-learning service for individuals and enterprises that was founded by former Dean of Apple University Joel Podolny, raised a $38M Series A (Derek Newton/Forbes)
https://www.forbes.com/sites/dereknewton/2025/07/08/honor-educ…

Honor Education Raises $38 Million Series A
The continuing education company Honor Education has raised $38 million in a Series A funding round.

Understanding the Performance and Power of LLM Inferencing on Edge Accelerators
Mayank Arya, Yogesh Simmhan
https://arxiv.org/abs/2506.09554 https://

Understanding the Performance and Power of LLM Inferencing on Edge Accelerators
Large Language Models (LLMs) have demonstrated exceptional benefits to a wide range of domains, for tasks as diverse as code generation and robot navigation. While LLMs are usually served from cloud data centers, mission-critical and privacy-sensitive applications may require local hosting of open LLM models. Given the large GPU memory footprint needed for LLMs, edge accelerators such as Nvidia Jetson Orin AGX with 64GB of shared GPU-CPU RAM are a compelling choice. However, the feasibility and…

On the linearity of fundamental groups of rose and star graphs of groups
D. Tsipa
https://arxiv.org/abs/2506.09213 https://arxiv.org/…

On the linearity of fundamental groups of rose and star graphs of groups
Let $G$ be a fundamental group of a graph of group where the graph is a rose or a star graph and the vertex groups are free groups, free abelian groups or right-angled Artin groups. We prove the linearity of $G$ over $\mathbb{Z}$ under various conditions on its edge groups.

foursquare: Foursquare NYC restaurants (2012)
Two bipartite networks of users and restaurant locations in New York City on Foursquare, from 24 October 2011 to 20 February 2012. In one network, an edge denotes a check-in event of a user at a restaurant. In the other, an edge exists if a user left a tip/comment on a restaurant. Metadata include comments.
This network has 4936 nodes and 27149 edges.
Tags: Social, Online, Unweighted, Metadata

Immersions of large cliques in graphs with independence number 2 and bounded maximum degree
F\'abio Botler, Cristina G. Fernandes, Carla N. Lintzmayer, Rui A. Lopes, Suchismita Mishra, Bruno L. Netto, Maycon Sambinelli
https://arxiv.org/abs/2506.09768

Immersions of large cliques in graphs with independence number 2 and bounded maximum degree
An immersion of a graph $H$ in a graph $G$ is a minimal subgraph $I$ of $G$ for which there is an injection ${\rm i} \colon V(H) \to V(I)$ and a set of edge-disjoint paths $\{P_e: e \in E(H)\}$ in $I$ such that the end vertices of $P_{uv}$ are precisely ${\rm i}(u)$ and ${\rm i}(v)$. The immersion analogue of Hadwiger Conjecture (1943), posed by Lescure and Meyniel (1985), asks whether every graph $G$ contains an immersion of $K_{χ(G)}$. Its restriction to graphs with independence number 2 has…