April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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426 Design and Analysis of Algorithms
15.5 DIJKSTRA’S SHORTEST-PATH ALGORITHM
We have already seen this algorithm in Chapters 10 and 11. Dijkstra’s algorithm solves the single-source
shortest-path problem when all edges have non-negative weights. It is a greedy algorithm similar to Prim’s
algorithm. The algorithm starts at the source vertex, s, it grows a tree, T, that ultimately spans all vertices
reachable from s. Vertices are added to T in order of distance, that is, fi rst s, then the vertex closest to s, then the
next closest, and so on. The following implementation assumes that graph G is represented by adjacency lists.
Algorithm 15.9 ...
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