my sudject :Artificial Inttelegence
Question 2:
a. Show that breadth-first search given constant cost for all actions is guaranteedto find the shortest solution.
b. Show that this is not the case for varying costs.
a) BFS guarantees finding shortest path from a source to all other nodes when all edges are of the same cost. This is because BFS traverses the graph level by level. That is all nodes at distance 0 are visited first and then distance 1 and then those at distance 2...and so on.
For a more detailed proof see here : http://www.cs.toronto.edu/~krueger/csc263h/lectures/BFS.pdf
b) Example to prove that bfs doesn't work for varying cost edges.

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my sudject :Artificial Inttelegence Question 2: a. Show that breadth-first search given constant cost for all...
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discrete 2
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algorithm for the 0–1 Knapsack problem to maximize the profit for
the following problem instance. Show the actions step by step.
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algorithm for the 0–1 Knapsack problem to maximize the profit for
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problems:
1. Perform a breadth-first search on the graph assuming that the
vertices and adjacency lists
are listed in alphabetical order. Show the breadth-first search
tree that is generated.
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vertices and adjacency lists
are listed in alphabetical order. Classify each edge as tree, back
or cross edge. Label each
vertex with its start and finish time.
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