BIFURCATIONS OF VORONOI DIAGRAMS AND ITS APPLICATION TO BRAID THEORY
Kentaro Saji · Journal of Knot Theory and Its Ramifications · 2004
We study bifurcations of Voronoi diagrams on the plane. The generic bifurcations of Voronoi diagrams for moving points are classified into four types. A braid has an associated family of Voronoi diagrams. If we admit only three types among four in the associated generic family of Voronoi diagrams, the braid type reduces to a braid with k half twists for some integer k.