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

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

In algorithms, as in life, negativity can be a drag. Consider the problem of finding the shortest path between two points on a graph — a network of nodes connected by links, or edges. Often, these ...

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory. This past October, as Jacob Holm and Eva Rotenberg were thumbing through a ...

Low-Density Parity-Check (LDPC) codes represent a class of error-correcting codes that have fundamentally reshaped the field of digital communications. With their inherently sparse parity-check ...

Nonbinary low-density parity-check (NB-LDPC) codes have emerged as a powerful tool in error correction, offering significant performance improvements over traditional ...