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ok here we go...Proof:If the some graph G has the same DFS and BFS then that means that G should not have any cycle(work out for any G with a cycle u will never get the same BFS and DFS .... and for a graph without any cycle u will get the same BFS/DFS).We will prove it by contradiction:So say if T is the tree obtained by BFS/DFS, and let us assume that G has atleast one edge more than T. So one more edge to T(T is a tree) would result in a cycle in G, but according to the above established principle no graph which has a cycle would result the same DFS and BFS, so out assumption is a contradiction.Hence G should have more edges than T, which implies that if the BFS and DFS for a graph G are the same then the G = T.Hope this helps u......................
1. bfs uses queue implementation ie.FIFO dfs uses stack implementation ie. LIFO 2. dfs is faster than bfs 3. dfs requires less memory than bfs 4. dfs are used to perform recursive procedures.
DFS and BFS are both searching algorithms. DFS, or depth first search, is a simple to implement algorithm, especially when written recursively. BFS, or breadth first search, is only slightly more complicated. Both search methods can be used to obtain a spanning tree of the graph, though if I recall correctly, BFS can also be used in a weighted graph to generate a minimum cost spanning tree.
The process of constructing a BFS (Breadth-First Search) tree involves exploring a graph level by level, starting from a chosen node and visiting its neighbors before moving on to the next level. This helps in finding the shortest path in a graph because BFS guarantees that the first time a node is visited, it is reached by the shortest path from the starting node. By constructing a BFS tree, we can trace back the shortest path from the starting node to any other node in the graph.
No, Breadth-First Search (BFS) is not inherently recursive. It is typically implemented using a queue data structure rather than recursion.
dfs better then from bfs..
The population of BFS Group Ltd is 4,200.
Hillclimbing proceeds as per values of each nodes.Whereas BFS follows edges of the tree.
To construct a Breadth-First Search (BFS) tree of a graph, start by selecting a starting node and adding it to the tree. Then, explore all neighboring nodes of the starting node before moving on to their neighbors. Continue this process level by level until all nodes in the graph have been visited and added to the tree. This ensures that the tree is constructed in a breadth-first manner, with nodes at each level being visited before moving on to the next level.
The process of traversing a binary tree level by level, starting from the root node, is known as breadth-first search (BFS).
No. why