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<!DOCTYPE html>
<html lang="en">
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<title>Question Popup</title>
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<div class="tag">Graph Theory</div>
<div class="tag">Shortest Path</div>
<div class="tag">Dijkstra Algorithm</div>
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In a graph with negative edge weights, which of the following algorithms is NOT suitable for solving the single-source shortest path problem?
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Consider how each algorithm handles negative edge weights.
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Some algorithms use a greedy approach that may fail when negative edges are present.
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Dijkstra's algorithm selects vertices with the currently shortest path, but negative edges can make previously determined "shortest" paths no longer shortest.
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<div class="explanation-text">
Dijkstra's algorithm may produce incorrect results when the graph contains negative edges, because it greedily selects vertices with the current shortest path and cannot handle situations where the total path weight might decrease due to negative edges.
<br><br>
The Floyd-Warshall algorithm is a dynamic programming-based all-pairs shortest path algorithm that can handle negative edges, but not negative cycles. The Bellman-Ford algorithm is specifically designed to handle single-source shortest path problems in graphs with negative edges.
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<span class="video-point-icon">▶</span> 12:45 - Limitations of Dijkstra's Algorithm
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<span class="related-content-meta-icon">⏱️</span> 24:10
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<span>2023-04-15 14:30</span>
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<span>2023-04-10 16:45</span>
<span>8 questions</span>
<span>75% accuracy</span>
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