Consider the following undirected weighted graph where you want to find a path from A to G.
A / \ B --- C \ / \ G --- H
Weights (costs) of the edges are W(AB) = 1; W(AC) = 3; W(BC) = 1; W(BG) = 9; W(CG) = 5; W(CH) = 2; W(GH) = 1, and the heuristic estimates (h(n)) to the goal node, G, are h(A) = 5, h(B) = 4, h(C) = 1, h(G) = 0, h(H) = 1. Simulate A* search. At each step, show the path to the node that is being expanded, the length of that path, the total estimated cost (actual + heuristic) and the expanded list of nodes (all nodes visited so far in the order in which they were visited). Provide the answer in the following table. Path to node expanded Length of Path Total Estimated Cost Expanded list A 0 5 (A) ....... finish the table as suggested. Is the given h(n) function an admissible heuristic? Explain.
for admissible heuristic,
h(n) is admissible for all n i.e.
h(n)<=h*(n)
h*(n) is the actual cost.here the actual cost is 7.while h(n) is i.e h(A) is 5
hence 5<7.hence it is admissible.
Consider the following undirected weighted graph where you want to find a path from A to...
We now consider undirected graphs. Recall that such a graph is • connected iff for all pairs of nodes u, w, there is a path of edges between u and w; • acyclic iff for all pairs of nodes u, w, whenever there is an edge between u and w then there is no path Given an acyclic undirected graph G with n nodes (where n ≥ 1) and a edges, your task is to prove that a ≤ n...
Dijkstra's algorithm QUESTION 2 Consider the following weighted undirected graph: 10 We would like to find the shortest path from the node A to each other node. 1) What is the order in which nodes will be processed, using Dijkstra's algorithm? 2) What is the final found shortest path from A to each node? A.d = 0 B.d = C.d = D.d = E.d = F.d = G.d = H.d = I.d = 2.
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