We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an ...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
We study the fundamental classification problems 0-Extension and Metric Labeling. A generalization of Multiway Cut, 0-Extension is closely related to partitioning problems in grap...
Howard J. Karloff, Subhash Khot, Aranyak Mehta, Yu...
We obtain a polynomial time approximation scheme for the terrain guarding problem improving upon several recent constant factor approximations. Our algorithm is a local search algo...
Matt Gibson, Gaurav Kanade, Erik Krohn, Kasturi R....
Abstract— We describe how a graph grammar program for robotic self-assembly, together with measurements of kinetic rate data yield a Markov Process model of the dynamics of progr...