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The imbalance conjecture is now a theorem. James Alexander Schreib and Yousof Yavari posted a proof last week. What does the conjecture theorem say? Start with a graph G with no ed...
Group interactions are everywhere in the real world. Researchers co-author papers, shoppers buy products together, students hang out in clusters between classes, and users on quest...
Alice (who plays first) and Bob take turns to join with a line (i.e., an edge) two of ten dots (or points) scattered around the circumference of a circle. The first player to compl...
The AI industry found a new word for something LangGraph shipped three years ago. Here is what actually changed, and what didn’t from FDE…Continue reading on Level Up Coding »
A few months back, I wrote about Loop Engineering: The Layer After Prompt, Context, and Harness Engineering, arguing that once your prompts are tuned, your context is assembled, an...
Anita and Bose are very eager to visit their friend Chitra next week. She lives in the torus city, which, as you guessed, is a torus of dimensions m × n. (In the figure below, m =...
Оказывается, из обычного длинного воздушного шарика можно сделать не только собачку, но и вполне серьезный математический объект. Исследователи Эрик Демейн, Мартин Демейн и Ви Харт...
This puzzle is part of Monthly Topic Challenge August 2026: Twisted Chestnut. The classic problem of the Seven Bridges of Königsberg is well known in the fields of graph theory an...
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