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Chinese researchers have developed the best shortest-path algorithm in 41 years.
Dijkstra’s Algorithm has been the undefeated king of the shortest path for over 40 years.
Whether you’re using Google Maps, booking a flight, or routing internet packets, Dijkstra is the engine running in the background.
Since 1984, textbooks have taught that its efficiency was hit by a “sorting barrier.”
To find the shortest path, you have to sort the points by distance. And sorting has a mathematical floor you can’t cross.
Until now.
A research team from Tsinghua University just published a paper that shatters the 41-year-old record.
They proved that Dijkstra is not optimal.
By combining the logic of the Bellman-Ford algorithm with a revolutionary “recursive partial ordering” method, they figured out how to find the path without fully sorting the nodes.
The results are a massive shift in theoretical computer science:
- the first deterministic improvement to the Single-Source Shortest Path (SSSP) problem since 1984
- a new time complexity of O(m log^(2/3) n), officially beating the long-standing O(m + n log n) limit
- on massive sparse graphs (like the web or global logistics), this means finding the best route significantly faster than previously thought possible
For four decades, the greatest minds in algorithms believed this limit was absolute.
Last year, even the legendary Robert Tarjan won an award proving Dijkstra was “optimally efficient” at sorting distances.
Tsinghua’s answer? Stop sorting.
The world’s most settled problem is suddenly wide open again.
If we can break a 40-year-old law in basic graph theory, what other “impossible” speed limits are waiting to be crushed?
1 Meeting ➔ 5 People prompting AI ➔ 5 Different Outputs ➔ ANOTHER Meeting to fix it. 🤡
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"I have 50 humans and 150 agents."
a customer Bruno Aziza recently met.
Different beast.
His other anecdote: 20,000 dashboards. 18,000 used by less than 8 people.
Don't let information become knowledge.
The next barrier: systems of action.
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Meetings end in "yes," but teams build different things. Relly drafts wireframes while you talk so everyone stays aligned.
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Mailbox. Support. Infra.
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Launching SimCam – a tool that finally lets you test camera features directly in the iOS simulator! 🚀
🎦 Stream video from your Mac's built-in or external camera, inject an image or video, or generate a QR code.
I work at a small startup and event tracking design used to take me a full day. Event taxonomy, naming conventions, keeping everything consistent… there’s more to it than people think. When I was at a bigger company it took even longer because so many stakeholders had opinions on a simple funnel.
Tried doing it with AI this time and it took less than 2 hours. I worked on other stuff while it ran. Thank you @claudeai