Download link:# Algorithms Homework 5: Graph Algorithms (Part II)
Description
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In this homework, we will find shortest-paths in graphs with a single source node.
Problem 1: Bellman-Ford Algorithm 50 points
Demonstrate Bellman-Ford algorithm on the following graph. In each stage of the algorithm, clearly state the shortest distance estimate at each node from the source.
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v8 3 2 v5 1 v7 3 v6 4 2 1 3 3 v3 4 v2 v4 2 1 v1
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Demonstrate Dijkstra’s algorithm on the following graph. In each stage of the algorithm, clearly state the shortest distance estimate at each node from the source.
Bonus Problem (10 points):
- Implement Dijkstra’s algorithm on graphs represented as adjacency lists in Python, and val-idate your code on the example graph given in Problem 2.