Dfs In Data Structure
There are two graph traversals they are bfs breadth first search and dfs depth first search.
Dfs in data structure. 2 detecting cycle in a graph a graph has cycle if and only if we see a back edge. The algorithm starts at the root node selecting some arbitrary node as the root node in the case of a graph and explores as far as possible along each branch before backtracking. Depth first search dfs algorithm traverses a graph in a depthward motion and uses a stack to remember to get the next vertex to start a search when a dead end occurs in any iteration. In data structures graph traversal is a technique used for searching a vertex in a graph.
Dfs depth first search uses stack data structure. Dfs is at the heart of prims and kruskals algorithms. Bfs breadth first search uses queue data structure for finding the shortest path. Bfs can be used to find single source shortest path in an unweighted graph because in bfs we reach a vertex with minimum number of edges from a source vertex.
In the next sections we ll first have a look at the implementation for a tree and then a graph. Depth first search dfs is an algorithm for traversing or searching tree or graph data structures. The depth first search goes deep in each branch before moving to explore another branch. A version of depth first search was investigated in the 19th century by french mathematician charles pierre.
1 for an unweighted graph dfs traversal of the graph produces the minimum spanning tree and all pair shortest path tree. Following are the problems that use dfs as a building block. Dfs traversal of a graph produces a spanning tree as the final result.