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 ...

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 ...

Researchers thought that they were five years away from solving a math riddle from the 1980's. In reality, and without knowing, they had nearly cracked the problem and had just given away much of the ...

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 ...

Microsoft's Space Partition Tree and Graph algorithm enables developers to apply vector search to traditional, audio and visual queries. Microsoft has made its Space Partition Tree And Graph (SPTAG) ...

This is a preview. Log in through your library . Abstract We consider the feasibility problem OPP (orthogonal packing problem) in higher-dimensional orthogonal packing: given a set of d-dimensional (d ...