PDF Two Techniques for Fast Computation of Constrained Shortest Paths
Abstract—Computing constrained shortest paths is funda-mental to some important network functions such as QoS routing, which is to find the cheapest path that satisfies cer-tain constraints . In particular, finding the cheapest delay-constrained path is critical for real-time data flows such as voice calls. Because it is NP-complete, much research has been designing heuristic algorithms that ...
The most famous algorithms used to calculate shortest paths are probably Dijkstra's algorithm and A*. However, shortest path calculation can be done much faster by preprocessing the graph. Fast Paths uses Contraction Hierarchies, one of the best known speed-up techniques for shortest path calculation . It is especially suited to calculate shortest paths in road networks, but can be used for any ...
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PDF Fast Exact MultiConstraint Shortest Path Algorithms
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Based on these techniques, we design fast algorithms to solve the ε-approximation of the constrained shortest- path problem. We prove the correctness and complexities of the algorithms .
Faster shortest
Abstract This paper gives a fixed-parameter linear algorithm for the single-source shortest path problem (SSSP) on directed graphs. The parameter in question is the nesting width, a measure of the extent to which a graph can be represented as a nested collection of graphs. We present a novel directed graph decomposition called the acyclic-connected tree (A-C tree), which breaks the graph into ...
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