The cluster connecting problem inside a simple polygon is introduced in this paper. The problem is shown to be NP-complete. A log n-factor approximation algorithm is proposed.
Sanjib Sadhu, Arijit Bishnu, Subhas C. Nandy, Part...
We consider the problem of a robot which has to find a target in an unknown simple polygon, based only on what it has seen so far. A street is a polygon for which the two boundary...
With the current progress in robot technology and related areas, sophisticated moving and sensing capabilities are at hand to design robots capable of solving seemingly complex tas...
Road network data is often incomplete, making it hard to perform network analysis. This paper discusses the problem of extending partial road networks with reasonable links, using...
Boris Aronov, Kevin Buchin, Maike Buchin, B. Janse...
We present several applications in computational geometry of Megiddo's parametric searching technique. These applications include: (1) Finding the minimum Hausdorff distance ...