Euclidean shortest paths in the presence of rectilinear barriers
β Scribed by D. T. Lee; F. P. Preparata
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 990 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
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We present an algorithm that solves the all-pairs shortest-paths problem on a directed graph with n vertices and m arcs in time O(nm + n 2 log n), where the arcs are assigned real, possibly negative costs. Our algorithm is new in the following respect. It computes the distance Β΅(v, w) between each p
## Abstract The computational complexity of finding a shortest path in a twoβdimensional domain is studied in the Turing machineβbased computational model and in the discrete complexity theory. This problem is studied with respect to two formulations of polynomialβtime computable twoβdimensional do