1) Given a weighted (positive weights) undirected graph G and a vertex A find the cost...
1) Given a weighted (positive weights) undirected graph G and a vertex A find the cost of the cheapest path that visits all the vertices. It doesn't need to return to A. It can visit vertices multiple times. need the algorithm and pseudocode for this approach.
Homework Answers
ALGORITHM
- Start from vertex A
- Take a table with column names as vertices except A. Take first column as vertices.
- Fill the first cell with A and now write the distances from A to all other vertices if any are connected and write A as suffix otherwise put -
- Now take the least weighted vertex and cross off the cells in that column.
- From there consider the neighboring edges and update the weights with accumulated weight from the starting.
- Continue this till all vertices are visited.
- By the end we will have the distance to the vertices and the parent vertex as suffix.
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