Coxeter theory investigates groups generated by reflections and the geometric structures arising from their actions, such as root systems and Dynkin diagrams. This body of work underpins vast areas of ...

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 ...

UC Santa Barbara computer scientist Daniel Lokshtanov is advancing fundamental understanding of computational efficiency through groundbreaking research on quasi-polynomial time algorithms, supported ...

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 ...

Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...

This idea holds significant weight when discussing the production of specific results with generative AI, and harvesting the latest trends. Given that many AI systems are general-purpose, it prompts ...