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 ...

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 ...

The purpose of this note is to show that any order isomorphism between noncommutative $L^{2}-spaces$ associated with von Neumann algebras is decomposed into a sum of ...

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 ...

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 ...

Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a ...

Algebraic structures form the backbone of modern abstract algebra, encapsulating a wide range of systems such as groups, rings, fields, and modules, each characterised by distinct axiomatic properties ...

Snyder (1989) has misrepresented the central characteristic of Bohr's complementarity thesis and has similarly misrepresented our ideas of methodological complementarity and causal isomorphism. Bohr's ...