Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Consider the following directed graph.Suppose... Start Learning for Free
Consider the following directed graph.
Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is  and the number of cross edges is . Then
  • a)
    B = 1, C = 1 and T = 4
  • b)
    B = 0, C = 3, and T = 4
  • c)
    B = 2, C = 1, and T = 3
  • d)
    B = 1, C = 2, and T = 3
  • e)
    B = 2, C = 2, and T = 1
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following directed graph.Suppose a depth-first traversal ...
Since they said that whenever their is a choice we will have to select the node which is alphabetically earlier , therefore we choose the starting node as A .
The tree then becomes A-B-E-C . Therefore no of tree edges is 3 that is (T=3) .
Now there is one cycle B-E-C so we will get a back edge from C to B while performing DFS. Hence B=1 .
Now D becomes disconnected node and it can only contribute in forming cross edge . There are 2 cross edges D-A , D-B .
Therefore C=2 .
View all questions of this test
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Consider the following directed graph.Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is and the number of cross edges is . Thena)B = 1, C = 1 and T = 4b)B = 0, C = 3, and T = 4c)B = 2, C = 1, and T = 3d)B = 1, C = 2, and T = 3e)B = 2, C = 2, and T = 1Correct answer is option 'D'. Can you explain this answer?
Question Description
Consider the following directed graph.Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is and the number of cross edges is . Thena)B = 1, C = 1 and T = 4b)B = 0, C = 3, and T = 4c)B = 2, C = 1, and T = 3d)B = 1, C = 2, and T = 3e)B = 2, C = 2, and T = 1Correct answer is option 'D'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the following directed graph.Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is and the number of cross edges is . Thena)B = 1, C = 1 and T = 4b)B = 0, C = 3, and T = 4c)B = 2, C = 1, and T = 3d)B = 1, C = 2, and T = 3e)B = 2, C = 2, and T = 1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following directed graph.Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is and the number of cross edges is . Thena)B = 1, C = 1 and T = 4b)B = 0, C = 3, and T = 4c)B = 2, C = 1, and T = 3d)B = 1, C = 2, and T = 3e)B = 2, C = 2, and T = 1Correct answer is option 'D'. Can you explain this answer?.
Solutions for Consider the following directed graph.Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is and the number of cross edges is . Thena)B = 1, C = 1 and T = 4b)B = 0, C = 3, and T = 4c)B = 2, C = 1, and T = 3d)B = 1, C = 2, and T = 3e)B = 2, C = 2, and T = 1Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Consider the following directed graph.Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is and the number of cross edges is . Thena)B = 1, C = 1 and T = 4b)B = 0, C = 3, and T = 4c)B = 2, C = 1, and T = 3d)B = 1, C = 2, and T = 3e)B = 2, C = 2, and T = 1Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the following directed graph.Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is and the number of cross edges is . Thena)B = 1, C = 1 and T = 4b)B = 0, C = 3, and T = 4c)B = 2, C = 1, and T = 3d)B = 1, C = 2, and T = 3e)B = 2, C = 2, and T = 1Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Consider the following directed graph.Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is and the number of cross edges is . Thena)B = 1, C = 1 and T = 4b)B = 0, C = 3, and T = 4c)B = 2, C = 1, and T = 3d)B = 1, C = 2, and T = 3e)B = 2, C = 2, and T = 1Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Consider the following directed graph.Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is and the number of cross edges is . Thena)B = 1, C = 1 and T = 4b)B = 0, C = 3, and T = 4c)B = 2, C = 1, and T = 3d)B = 1, C = 2, and T = 3e)B = 2, C = 2, and T = 1Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the following directed graph.Suppose a depth-first traversal of this graph is performed, assuming that whenever there is a choice, the vertex earlier in the alphabetical order is to be chosen. Suppose the number of tree edges is , the number of back edges is and the number of cross edges is . Thena)B = 1, C = 1 and T = 4b)B = 0, C = 3, and T = 4c)B = 2, C = 1, and T = 3d)B = 1, C = 2, and T = 3e)B = 2, C = 2, and T = 1Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev