Dijkstra's algorithm with Fibonacci heap (Fredman & Tarjan 1984; Fredman & Tarjan 1987) (Nonnegative Weights Shortest Path (Directed Graphs))

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Time Complexity

$O(E + V \log V)$

Space Complexity

$O(V)$ words

(keeping track of distances/previous node in path, along with heap)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word/Real RAM

Year

1984

Reference

https://www.cs.princeton.edu/courses/archive/fall03/cs528/handouts/fibonacci%20heaps.pdf