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DFS and BFS stands for Depth First Search and Breadth First Search respectively. In DFS algorithm every node is explored in depth; tracking back upon hitting an already visited node and starts visiting from a node which has any adjacent nodes unvisited. In BFS, the nodes are visited level wise. These algorithms are used to traverse the nodes on a connected digraph.

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How can you design an algorithm to check if a given graph is connected?

Use a simple DFS/BFS traversal. If you have gone through all nodes, the graph is connected.


Am trying to find the solution to this question give a linear-time algorithm for a directed acyclic graph?

DFS, BFS


Can apply bfs and dfs on weighted graph?

nop


Why you use DFS and BFS in graphs?

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.


Who is faster between dfs and bfs?

dfs better then from bfs..


Prove that if a DFS and BFS trees in graph G are the same than?

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......................


How can I find all cycles in an undirected graph efficiently?

One efficient way to find all cycles in an undirected graph is by using the Depth-First Search (DFS) algorithm. By performing a DFS traversal on the graph and keeping track of the visited nodes and back edges, you can identify and extract all the cycles present in the graph. This method helps in efficiently identifying and listing all the cycles within the graph.


Difference between DFS and BFS?

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.


What is the difference between backtracking and depth-first search (DFS) in terms of their approach to problem-solving?

Backtracking is a general algorithmic technique that involves systematically trying all possible solutions to find the correct one, while depth-first search (DFS) is a specific graph traversal algorithm that explores as far as possible along each branch before backtracking. In essence, backtracking is a broader concept that can be used in various problem-solving scenarios, while DFS is a specific application of backtracking in graph traversal.


Differentiate graph with tree. Describe any one method of graph traversal?

Graph contains nodes and edges without following any rule.Whereas tree is a type of graph which must follow some rules.2 popular methods are BFS(breath first search),DFS(depth first search).If you could get any help from the answer then plz increase my trust point.


What are the differences between Union Find and Depth-First Search (DFS) algorithms when it comes to solving graph-related problems?

Union Find and Depth-First Search (DFS) are two different algorithms used in graph-related problems. Union Find is primarily used to determine the connectivity between nodes in a graph and to efficiently merge disjoint sets. It is commonly used in algorithms like Kruskal's Minimum Spanning Tree. On the other hand, DFS is a traversal algorithm that explores as far as possible along each branch before backtracking. It is used to search for a specific node or to traverse the entire graph. In summary, Union Find is used for connectivity and set operations, while DFS is used for traversal and searching in graphs.


How can the bipartite graph algorithm be implemented using depth-first search (DFS)?

The bipartite graph algorithm can be implemented using depth-first search (DFS) by assigning colors to each vertex as it is visited. If a vertex is visited and its neighbor has the same color, then the graph is not bipartite. If all vertices can be visited without any conflicts in colors, then the graph is bipartite.