We consider adding k shortcut edges (i.e. edges of small fixed length δ ≥ 0) to a graph so as to minimize the weighted average shortest path distance over all pairs of vertices...
Tool path generation is one of the most complex problems in Computer Aided Manufacturing. Although some efficient strategies have been developed, most of them are only useful for s...
We discuss the problem of path feasibility for programs manipulating strings using a collection of standard string library functions. We prove results on the complexity of this pro...
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...
In this paper we introduce and investigate a new" path optimization problem which we denote as the All Hops Optimal Path AHOP problem. The problem involves identifying, for a...