We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a "semiduality" between minimum cuts and maximum spanning tree...
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
Given a graph G, the Shortest Capacitated Paths Problem (SCPP) consists of determining a set of paths of least total length, linking given pairs of vertices in G, and satisfying c...
Understanding neural connectivity and structures in the brain requires detailed 3D anatomical models, and such an understanding is essential to the study of the nervous system. Ho...
We present a real-time algorithm for rendering translucent objects of arbitrary shapes. We approximate the scattering of light inside the objects using the diffusion equation, whi...
Yajun Wang, Jiaping Wang, Nicolas Holzschuch, Kart...