Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Which of the following is truea)The AVL trees... Start Learning for Free
Which of the following is true
  • a)
    The AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion.
  • b)
    Heights of AVL and Red-Black trees are generally same, but AVL Trees may cause more rotations during insertion and deletion.
  • c)
    Red Black trees are more balanced compared to AVL Trees, but may cause more rotations during insertion and deletion.
  • d)
    Heights of AVL and Red-Black trees are generally same, but Red Black rees may cause more rotations during insertion and deletion.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following is truea)The AVL trees are more balanced compar...
Red Black Tree with n nodes has height <= 2Log2(n+1) AVL Tree with n nodes has height less than Logφ(√5(n+2)) - 2. Therefore, the AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion. So if your application involves many frequent insertions and deletions, then Red Black trees should be preferred. And if the insertions and deletions are less frequent and search is more frequent operation, then AVL tree should be preferred over Red Black Tree.
View all questions of this test
Most Upvoted Answer
Which of the following is truea)The AVL trees are more balanced compar...
AVL Trees vs Red Black Trees:

AVL Trees and Red Black Trees are self-balancing binary search trees that maintain a balanced tree structure by performing rotations during insertion and deletion operations. However, there are some differences between AVL Trees and Red Black Trees.

Balancing:

AVL Trees are more balanced compared to Red Black Trees. This is because AVL Trees have stricter balance criteria, which means that the difference in height between the left and right subtrees of any node in an AVL Tree is at most 1. On the other hand, Red Black Trees have more relaxed balance criteria, which means that the difference in height between the left and right subtrees of any node in a Red Black Tree can be at most 2.

Rotations:

AVL Trees may cause more rotations during insertion and deletion compared to Red Black Trees. This is because AVL Trees have stricter balance criteria and require more frequent rotations to maintain their balance. In contrast, Red Black Trees may require fewer rotations to maintain their balance due to their more relaxed balance criteria.

Height:

The heights of AVL Trees and Red Black Trees are generally the same. Both AVL Trees and Red Black Trees maintain a balanced tree structure, which means that the height of the tree is logarithmic with respect to the number of nodes in the tree.

Conclusion:

In summary, AVL Trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion. The heights of AVL Trees and Red Black Trees are generally the same, but AVL Trees require more frequent rotations to maintain their balance.
Explore Courses for Computer Science Engineering (CSE) exam
Question Description
Which of the following is truea)The AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion.b)Heights of AVL and Red-Black trees are generally same, but AVL Trees may cause more rotations during insertion and deletion.c)Red Black trees are more balanced compared to AVL Trees, but may cause more rotations during insertion and deletion.d)Heights of AVL and Red-Black trees are generally same, but Red Black rees may cause more rotations during insertion and deletion.Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 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 Which of the following is truea)The AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion.b)Heights of AVL and Red-Black trees are generally same, but AVL Trees may cause more rotations during insertion and deletion.c)Red Black trees are more balanced compared to AVL Trees, but may cause more rotations during insertion and deletion.d)Heights of AVL and Red-Black trees are generally same, but Red Black rees may cause more rotations during insertion and deletion.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is truea)The AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion.b)Heights of AVL and Red-Black trees are generally same, but AVL Trees may cause more rotations during insertion and deletion.c)Red Black trees are more balanced compared to AVL Trees, but may cause more rotations during insertion and deletion.d)Heights of AVL and Red-Black trees are generally same, but Red Black rees may cause more rotations during insertion and deletion.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Which of the following is truea)The AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion.b)Heights of AVL and Red-Black trees are generally same, but AVL Trees may cause more rotations during insertion and deletion.c)Red Black trees are more balanced compared to AVL Trees, but may cause more rotations during insertion and deletion.d)Heights of AVL and Red-Black trees are generally same, but Red Black rees may cause more rotations during insertion and deletion.Correct answer is option 'A'. 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 Which of the following is truea)The AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion.b)Heights of AVL and Red-Black trees are generally same, but AVL Trees may cause more rotations during insertion and deletion.c)Red Black trees are more balanced compared to AVL Trees, but may cause more rotations during insertion and deletion.d)Heights of AVL and Red-Black trees are generally same, but Red Black rees may cause more rotations during insertion and deletion.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which of the following is truea)The AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion.b)Heights of AVL and Red-Black trees are generally same, but AVL Trees may cause more rotations during insertion and deletion.c)Red Black trees are more balanced compared to AVL Trees, but may cause more rotations during insertion and deletion.d)Heights of AVL and Red-Black trees are generally same, but Red Black rees may cause more rotations during insertion and deletion.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Which of the following is truea)The AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion.b)Heights of AVL and Red-Black trees are generally same, but AVL Trees may cause more rotations during insertion and deletion.c)Red Black trees are more balanced compared to AVL Trees, but may cause more rotations during insertion and deletion.d)Heights of AVL and Red-Black trees are generally same, but Red Black rees may cause more rotations during insertion and deletion.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Which of the following is truea)The AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion.b)Heights of AVL and Red-Black trees are generally same, but AVL Trees may cause more rotations during insertion and deletion.c)Red Black trees are more balanced compared to AVL Trees, but may cause more rotations during insertion and deletion.d)Heights of AVL and Red-Black trees are generally same, but Red Black rees may cause more rotations during insertion and deletion.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which of the following is truea)The AVL trees are more balanced compared to Red Black Trees, but they may cause more rotations during insertion and deletion.b)Heights of AVL and Red-Black trees are generally same, but AVL Trees may cause more rotations during insertion and deletion.c)Red Black trees are more balanced compared to AVL Trees, but may cause more rotations during insertion and deletion.d)Heights of AVL and Red-Black trees are generally same, but Red Black rees may cause more rotations during insertion and deletion.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev