Graph Coloring Breakthrough: Near-Optimal Algorithm Achieved

Imagine the complexity of managing air traffic at Newark Airport. To prevent collisions, researchers model the problem as a graph coloring problem: each flight path is a line, each location a point. For decades, progress on efficient algorithms was slow. But recently, a breakthrough: a near-linear time algorithm, nearly as fast as theoretically possible, offering new possibilities for air traffic control and other applications. This solves a decades-old problem, a true milestone.