Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop ...

Tree Isomorphism: O(n) -- canonical form via AHU algorithm. Clearly in P. General Graph ISO: Status UNKNOWN -- believed not NP-Complete, not in P. It is GI-complete (its own complexity class). Best ...

Just five days after posting a retraction, László Babai announced that he had fixed the error in his landmark graph isomorphism algorithm. The back and forth ...

(Phys.org)—László Babai with the Department of Computer Science and Mathematics at the University of Chicago has caused a lot of excitement in the computer science community by announcing recently ...

An innovative approach to solving a stubborn, but elementary, question in graph theory — the mathematical study of networks of nodes and their connections — may signal the first major theoretical ...

The legendary graph isomorphism problem may be harder than a 2015 result seemed to suggest. “In Laci Babai, you have one of the most legendary and fearsome theoretical computer scientists there ever ...

I applied GRPO to teach Qwen2.5-1.5B-Instruct to solve graph isomorphism. The base model has 0% accuracy on the task (it always outputs "NOT ISOMORPHIC" in 2 tokens), which means GRPO gets zero reward ...

Abstract: In the design of analog integrated circuits, the placement stage in layout design plays a crucial role in determining the final circuit performance. Current automated placement algorithms ...

A puzzle that has long flummoxed computers and the scientists who program them has suddenly become far more manageable. A new algorithm efficiently solves the graph isomorphism problem, computer ...