Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question

Draw the Depth First Search Tree of the following graph and Infer the bi-connected components of the graph. 

h
f
bo
Transcribed Image Text:h f bo
Expert Solution
Step 1 Depth First Search:

Depth First Search(DFS):

  • It is Uniformed search technique.
  • It works on Stack(LIFO).
  • It works on Deepest node of the tree.
  • There are Infinite loop exist.

 

STEPS:

Let start with vertex c.

steps1.lable vertex c and do dfs from either e or b,suppose the vertex b is selected.

step2.label b and do dfs from either a,f,d, suppose a is selected.

step3.label d and do dfs from either g,b we take g.

Step 2

step4.label g and do dfs  from either a,f as a is already in the stack we take f.

step5.label f and do dfs b,i,h, we take h.

step6.label h and do dfs from either f,i,we take i.

step7.label i and do dfs from either f,j

step8.label j and pop out as ther is no more adjecent visited nodes.

step9.back tracking to i then from h,f,b. from b we take d.

step10.label d after back tracking.

step11 label e.

 

DFS=c,b,a,g,f,h,i,j,d,e.

steps

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