We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
Let G(V, E) be a weighted, undirected, connected simple graph with n vertices and m edges. The k most vital edge problem with respect to minimum spanning trees is to find a set S o...
A spanning tree of a graph such that each vertex in the tree has degree at most d is called a degree-constrained spanning tree. The problem of finding the degree-constrained spann...
Let n point sites be situated on the vertices or edges of a geometric graph G over e edges. Each site can be assigned a multiplicative weight and a color. We discuss the complexit...
Ferran Hurtado, Rolf Klein, Elmar Langetepe, Vera ...
We present a novel algorithm for encoding the topology of triangular meshes. A sequence of edge contract and divide operations collapses the entire mesh into a single vertex. This ...