The present work is a Qiskit-based implementation of a method for solving the sub-graph isomorphism problem on a gate-based quantum computer. The method relies on a new representation of the adjacency ...

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 ...

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 ...

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 ...

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 ...

For decades, the graph isomorphism problem has held a special status within complexity theory. While thousands of other computational problems have meekly succumbed to categorization as either hard or ...

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 ...

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 ...

Theoretical computer scientists are normally a fairly sedate bunch, but are humming with excitement after a potential breakthrough in a long-standing problem called graph isomorphism. The result could ...

If someone asks you to determine whether two objects are the same, it might seem like a trivial request. In most everyday cases, a quick glance is enough for you to render an accurate judgment. But in ...