Subject
Computer Science
Topic
Artificial Intelligence
What is the time complexity of breadth-first search with branching factor b and solution depth d?
What is the time complexity of breadth-first search with branching factor b and solution depth d?
a)
O(b^d)b)
O(b × d)c)
O(d^b)d)
O(log b)Explanation
BFS may generate all nodes up to depth d: 1 + b + b^2 + ... + b^d, which is O(b^d).Related questions
In the figure, using alphabetical tie-breaking, what is the breadth-first visit order from A?In the figure, using alphabetical tie-breaking, what is the depth-first preorder from A?In the figure, using alphabetical tie-breaking, what is the uniform-cost path cost from S?In the figure, what is the cost of the path that A* search returns from S to G, assuming its heuristic is admissible?For edges P-Q-1,P-R-1,Q-S-1,R-T-1,S-U-1, what order does DFS preorder produce from P with alphabetical tie-breaking?Using uniform-cost search on weighted edges S-A-2,S-B-6,A-C-2,B-C-1,C-G-4, what is the least cost from S to G?A heuristic gives values 5,3,0; the corresponding true remaining costs are 4,3,0. Is it admissible?A unit-cost tree has a very shallow solution but high branching. Which complete uninformed method is the natural choice?
