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The work is to implement some of the graph algorithms we had discussed in class using the graph implementation I will be providing. You need to use the following files but not change them:

  1. edgeWeight.py --> contains abstract class GraphEdgeWeight for a closed semi-ring and two semi-rings given by EdgeCost and EdgeProbability classes
  2. abstractGraph.py --> contains Edge class and an abstract class Graph to support some basic methods
  3. adjListGraph.py --> contains adjacency list implementation of the graph namely AdjListGraph class which extends Graph class

The only file you need to make a change is in graphAlgorithms.py which you need to submit. There are 3 functions which need to be completed:

  1. strongConnectivity(g)
  2. minCostSpanningTreePrim(g,sourceVertex)
  3. allPairPathWarshallFloyd(g)

To help understand how DFS is done I have provided an example dfs() implementation and also to understand to compute min cost I have provided an example bfs() implementation in the same file.

I have also attached a graphTests.py file which tests (a) and (b) with some examples.

DO NOT CHANGE the function headers of these 3 functions as I will be testing these functions with some unit tests.

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