Floats, Integers, and Single Source Shortest Paths
β Scribed by Mikkel Thorup
- Book ID
- 102573621
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 105 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0196-6774
No coin nor oath required. For personal study only.
β¦ Synopsis
Floats are ugly, but to everyone but theoretical computer scientists, they are the real thing. A linear time algorithm is presented for the undirected single-source shortest paths problem with nonnegative floating point weights.
π SIMILAR VOLUMES
We give a randomized parallel algorithm for computing single-source shortest paths in weighted digraphs. We show that the exact shortest-path problem can be efficiently reduced to solving a series of approximate shortest-path subproblems. Our algorithm for the approximate shortest-path problem is ba
We give parallel algorithms that solve the single-source shortest paths problem Ε½ . on a weighted, undirected graph with n vertices and m edges in O t lg n time and Ε½Ε½ 3 2 . Ε½ . . Ε½ . Ε½ Ε½ 3 3 O n rt lg n lg nrt q m lg n work, or in O t lg n time and O n rt q . . mnrt lg n work for any t in the range