All-Pairs Bottleneck Paths in Vertex Weighted Graphs
โ Scribed by Asaf Shapira; Raphael Yuster; Uri Zwick
- Book ID
- 106149048
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 364 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0178-4617
No coin nor oath required. For personal study only.
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We present a new all-pairs shortest path algorithm that works with real-weighted graphs in the traditional comparison-addition model. It runs in O(mn + n 2 log log n) time, improving on the long-standing bound of O(mn + n 2 log n) derived from an implementation of Dijkstra's algorithm with Fibonacci
The task of finding shortest paths in weighted graphs is one of the archetypical problems encountered in the domain of combinatorial optimization and has been studied intensively over the past five decades. More recently, fuzzy weighted graphs, along with generalizations of algorithms for finding op