Birds of same feather flock together. Interesting paper that uses your friends' info to deduce info about you: http://bit.ly/aY6Xr7

If you check out the list of blogs, it turns out that a handful get about 80% of traffic whereas the ALL remaining blogs get abt 20%

🤯 Topological Logic - a rod through one hole of a double torus can pass through both with some careful stretching of the surface. No tearing or pinching required. A fantastic video made by math professor Dave Richeson Dave Richeson

Leskovec et al. found the diameter of networks shrink as they grow. So the 6 in 6 degrees of freedom will slowly decrease!

Fav networks of 2021, 3/7 A network of NFTs on SuperRare - each node representing one #NFT while two are linked based on their number of shared owners. A project with Albert-László Barabási that also appeared in the The New York Times #networkscience #datascience #datavisualization #nft #cryptoart

A very nice, gentle explanation of “envelopes” and their connection to string art (and partial derivatives).

The networks that help us sometimes gets us in trouble! We got firsthand experience of this with air travel during this pandemic. But it's nothing new: the vast road networks that the Romans constructed also helped spread Plague along those networks.

I'm teaching "Networks" at Stanford again this quarter, my 7th run of the course with 100+ students, following the excellent Easley & Kleinberg textbook (and mega-class at Cornell!). Always a thrill. If you teach a related class, here's an awesome lecture trick… 🧵 1/

Mathematics. Shiver in ecstasy. An exact formula for determining the n-th prime number. bit.ly/3HY9zfn

Restarting the service again.

If you don't know about Milgrams Six degrees of Separation experiment, check out http://bit.ly/6degrees and http://bit.ly/vf0Zu

SIR model is one of the oldest to model epidemics. One can be (S)usceptible, (I)mmune or (R)emovd. Disease becomes epidemic abv a threshold.

When you boil an egg, it goes from liquid to solid abruptly. Percolation theory was developed to explain that, now also used for epidemics!