We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
This paper studies constant-time approximation algorithms for problems on degree-bounded graphs. Let n and d be the number of vertices and the degree bound, respectively. This pap...
Our goal is to find an approximate shortest path for a point robot moving in a planar subdivision with n vertices. Let 1 be a real number. Distances in each face of this subdivis...
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, Ya...
Given a forest F = (V, E) and a positive integer D, we consider the problem of finding a minimum number of new edges E such that in the augmented graph H = (V, E∪E ) any pair of...
The (axis-parallel) stabbing number of a given set of line segments is the maximum number of segments that can be intersected by any one (axis-parallel) line. We investigate probl...