Depth-first search (dfs) , Data Structure & Algorithms

In this respect depth-first search (DFS) is the exact reverse process: whenever it sends a new node, it immediately continues to extend from it. It sends back to previously explored nodes only if it lay out of options. Although DFS goes to unbalanced and strange-looking exploration trees related to the orderly layers created by BFS, the combination of eager exploration with the perfect memory of a computer creates DFS very useful. It sends an algorithm template for DFS. We send special algorithms from it by specifying the subroutines traverseTreeEdge, root, init, backtrack, and traverseNonTreeEdge.

DFS creates a node when it First discovers it; started all nodes are unmarked. The main loop of DFS seems for unmarked nodes s and calls DFS(s; s) to lead a tree rooted at s. The genuine call DFS(u; v) extends all edges (v;w) out of v. The argument (u; v) display that v was reached via the edge (u; v) into v. For root nodes s, we need the .dummy. argument (s; s). We display DFS(¤; v) if the special nature of the incoming node is irrelevant for the discussion at hand. Assume now that we explore edge (v;w) within the fact DFS(¤; v). If w has been seen after, w is a node of the DFS-tree. So (v;w) is not a tree node and hence we create traverseNonTreeEdge(v;w) and prepare no recursive call of DFS. If w has not been given before, (v;w) converts a tree edge. We therefore call traverseTreeEdge(v;w), mark w and create the recursive call DFS(v;w). When we return from this call we include the next edge out of v. Once all edges out of v are included, we call backtrack on the incoming edge (u; v) to operate any summarizing or clean-up operations return and required.

 

1300_Depth First Search (DFS).png

Posted Date: 7/27/2012 7:09:14 AM | Location : United States







Related Discussions:- Depth-first search (dfs) , Assignment Help, Ask Question on Depth-first search (dfs) , Get Answer, Expert's Help, Depth-first search (dfs) Discussions

Write discussion on Depth-first search (dfs)
Your posts are moderated
Related Questions
give me algorithm of simple interest

Algorithm for determining strongly connected components of a Graph: Strongly Connected Components (G) where d[u] = discovery time of the vertex u throughout DFS , f[u] = f

how to write a function of area of a circle using python

Q. Give the algorithm to build a binary tree where the yields of preorder and post order traversal are given to us.

Define an array. Array is made up of same data structure that exists in any language. Array is set of same data types. Array is the collection of same elements. These same elem

Q. Explain the technique to calculate the address of an element in an array. A  25 × 4  matrix array DATA is stored in memory in 'row-major order'. If base  address is 200 and

Big oh notation (O) : The upper bound for the function 'f' is given by the big oh notation (O). Considering 'g' to be a function from the non-negative integers to the positive real


Implementations of Kruskal's algorithm for Minimum Spanning Tree. You are implementing Kruskal's algorithm here. Please implement the array-based Union-Find data structure.

a. In worst case the order of linear search is O (n/2) b. Linear search is more competent than Binary search. c. For Binary search, the array must be sorted in ascending orde