(January 15, 2017, update: On January 4, Babai retracted his claim that the new algorithm runs in quasi-polynomial time and then five ... For decades, the graph isomorphism problem has held a special ...

In practice, existing algorithms can do the job in reasonable time, but it was possible that extremely complex graphs would make the problem intractable. Not anymore. “My first thought was that ...

Yuanzhao Zhang, an SFI Complexity ... describe a novel algorithm that can infer the structure of a hypergraph using only the observed dynamics. Their algorithm uses time-series data—observations ...

Using subgraph isomorphism algorithms from graph ... complexity of each sub-circuit by optimizing the structure of the quantum circuit, further shortening the computation time.

The 1996 algorithm required a number of computational steps that was roughly proportional to the square root of the number of nodes in the graph. “[It’s] much better than just doing it from scratch ...