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# Math insight

- Article
### Does no small structure mean larger homogeneous ones?•••

February 9 2024, by Mehmet Akif YildizA conjecture of Erdős and Hajnal from 1989 says that forbidding any specific substructure results in existence of a very large homogeneous one! In this article you will have a look into one of the most fascinating problems in modern graph theory.Read article - Article
### Picking up 13 different cards from 13 piles (Part 2)••

December 4 2023, by Haodong ZhuIn Part 1 Jackie explained to her fried Sam how the problem of picking a card from each of the 13 piles so that there is exactly one card with each rank translates to a problem on bipartite graphs. The mathematical problem asks you to find a perfect matching in a regular bipartite graph.Read article - Article
### Picking up 13 different cards from 13 piles (Part 1)•

December 4 2023, by Haodong ZhuDid you know that if you divide a pack of cards into 13 piles of 4 cards, then you can always pick one card from each of the 13 piles so that there is exactly one card with each rank? There is some beautiful math behind this puzzle.Read article - Article
### The 100 prisoners escape puzzle•

September 25 2023, by Merel ZoutendijkIn this article, we will discuss a mathematical riddle that "seems impossible even if you know the answer". It is better known as the 100 prisoners problem.Read article - Article
### Structure is everywhere. So is chaos.•

September 21 2023, by Jop BrietPick 45 numbers between 1 and 100. Try to avoid creating pairs whose difference is the square of some number and you will fail. Always.Read article