In order to perform an average-case analysis for specific input distributions one needs to derive and understand properties of a 'typical' input instance. In the case of...
We study a new family of geometric graphs that interpolate between the Delaunay triangulation and the Gabriel graph. These graphs share many properties with skeletons for [0, 1]...
We prove that the max-cut and max-bisection problems are NP-hard on unit disk graphs. We also show that -precision graphs are planar for > 1/ 2 and give a dichotomy theorem f...
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 analyze Roman domination from a parameterized perspective. More specifically, we prove that this problem is W[2]-complete for general graphs. However, parameterized al...