A new technique breaks Dijkstra's 70-year-old record: it finds routes faster in huge networks, changing graph theory forever.

Weighted automata extend classical finite automata by assigning weights, typically drawn from algebraic structures such as semirings, to transitions. This quantitative enhancement enables the analysis ...

Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks — vertices (dots) and edges (lines connecting them) — has been an invaluable way ...