An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
— Scalable and efficient routing is a main challenge in the deployment of large ad hoc wireless networks. An essential element of practical routing protocols is their accommodat...
We describe the first algorithm to compute maximum flows in surface-embedded graphs in near-linear time. Specifically, given a graph embedded on a surface of genus g, with two spe...
We present a novel coding-based technique for answering spatial and spatiotemporal queries on objects moving along a system of curves on the plane such as many road networks. We h...
Sandeep Gupta, Swastik Kopparty, Chinya V. Ravisha...