(a) Find the shortest path from Oradea to Sibiu in Figure 3.2 using Depth-First Search. Show all intermediate search trees.(b) Find the shortest path from Fagaras to Vaslui in Figure 3.2 using Breadth-First Search. Show all intermediate search trees.(c) Find the shortest path from Oradea to Sibiu in Figure 3.2 using Iterative Deepening Depth-First Search. Show all intermediate search trees.OradeaNeamtLerida151IasiAradSibiuFagaras18VasluiRimnicu VilceaTimisoara4220LugojPitestiHirsovaMehadia146101
(a) Find the shortest path from Oradea to Sibiu in Figure 3.2 using Depth-Fir…
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We have a connected graph G=(V, E), and a specific vertex u ∈V . Suppose we compute a depth-first search tree rooted at u, and obtain a tree T that includes all nodes of G . Suppose we then compute a breadth-first search tree rooted at u, and obtain the same tree T . Prove that G=T . (In other words, if T is both a depth-first search tree and a breadth-first search tree rooted at u, then G cannot contain any edges that do not belong to T .) | Numerade
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