The zeta function of a graph, inspired by analogues in number theory and differential geometry, encodes fundamental cycle and path data in a compact analytic form. Its prototypical instance, the Ihara ...

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 ...

Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field. (January 15, 2017, update: On January 4, Babai retracted his claim that the new algorithm ...

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 ...

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 ...