A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. The proble...
In thispaper we give a 3-approximationalgorithmfor the problem ojJnding a minimum tree spanning any k-vertices in a graph. Our algorithm extends to a 3-approximationalgorithmfor t...
We give an algorithm requiring O(c1/2 n) time to find an -optimal traveling salesman tour in the shortest-path metric defined by an undirected planar graph with nonnegative edgele...
We observe that combining the techniques of Arora, Rao, and Vazirani, with the rounding algorithm of Rao and Richa yields an O( √ log n log log n)-approximation for the minimum-...
Developable surfaces are modelled with pieces of right circular cones. These cone spline surfaces are well-suited for applications: They possess degree two parametric and implicit...