This paper presents an algorithm, called PCG, for planning the foothold positions of spider-like robots in planar tunnels bounded by piecewise linear walls. The paper focuses on 3-...
In an undirected, 2-node connected graph G = (V, E) with positive real edge lengths, the distance between any two nodes r and s is the length of a shortest path between r and s in ...
We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard cov...
We consider the problem of cutting a subset of the edges of a polyhedral manifold surface, possibly with boundary, to obtain a single topological disk, minimizing either the total...
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to...