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Which of the following is FALSE about B/B+ tree
- a)B/B+ trees grow upward while Binary Search Trees grow downward.
- b)Time complexity of search operation in B/B+ tree is better than Red Black Trees in general.
- c)Number of child pointers in a B/B+ tree node is always equals to number of keys in it plus one.
- d)A B/B+ tree is defined by a term minimum degree. And minimum degree depends on hard disk block size, key and address sizes.
Correct answer is option 'B'. Can you explain this answer?
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Which of the following is FALSE about B/B+ treea)B/B+ trees grow upwar...
B/B Trees vs Binary Search Trees
The given statement is FALSE. Let's understand why.
B/B Trees:
- B/B trees are balanced search trees that are widely used in database systems and file systems.
- They are self-balancing, which means that after each insertion or deletion, the tree is automatically adjusted to maintain balance.
- The nodes in a B/B tree can have a variable number of child pointers, typically ranging from d to 2d, where d is the minimum degree of the tree.
- The keys in a B/B tree are stored in non-decreasing order within each node.
- B/B trees grow upward, meaning that the root is at the top and the leaves are at the bottom.
Binary Search Trees:
- Binary Search Trees (BSTs) are another type of balanced search tree commonly used for efficient searching and sorting.
- They also have a hierarchical structure, where each node has at most two child nodes.
- In a BST, the left child of a node contains keys smaller than the node's key, and the right child contains keys greater than the node's key.
- BSTs grow downward, meaning that the root is at the bottom and the leaves are at the top.
Time Complexity of Search Operation:
- The time complexity of the search operation in a B/B tree is O(log n), where n is the number of keys in the tree.
- This is because B/B trees are balanced, and the height of the tree is logarithmic with respect to the number of keys.
- On the other hand, the time complexity of the search operation in a Red Black Tree (another type of balanced search tree) is also O(log n).
- Therefore, the statement that B/B trees have a better time complexity for search operations than Red Black Trees in general is FALSE.
Number of Child Pointers in a B/B Tree Node:
- In a B/B tree, the number of child pointers in a node is always equal to the number of keys in it plus one.
- This property ensures that the tree remains balanced and maintains the search efficiency.
- So, the statement that the number of child pointers in a B/B tree node is always equal to the number of keys in it plus one is TRUE.
Minimum Degree of a B/B Tree:
- A B/B tree is defined by a term called the minimum degree, denoted as 'd'.
- The minimum degree of a B/B tree determines the minimum number of keys a non-root node can have.
- The minimum degree depends on various factors such as the hard disk block size, key size, and address size.
- The larger the minimum degree, the larger the number of keys a node can have, resulting in a shallower tree.
- So, the statement that the minimum degree of a B/B tree depends on the hard disk block size, key size, and address size is TRUE.
Therefore, the FALSE statement is option 'B' - the time complexity of the search operation in a B/B tree is better than Red Black Trees in general.
The given statement is FALSE. Let's understand why.
B/B Trees:
- B/B trees are balanced search trees that are widely used in database systems and file systems.
- They are self-balancing, which means that after each insertion or deletion, the tree is automatically adjusted to maintain balance.
- The nodes in a B/B tree can have a variable number of child pointers, typically ranging from d to 2d, where d is the minimum degree of the tree.
- The keys in a B/B tree are stored in non-decreasing order within each node.
- B/B trees grow upward, meaning that the root is at the top and the leaves are at the bottom.
Binary Search Trees:
- Binary Search Trees (BSTs) are another type of balanced search tree commonly used for efficient searching and sorting.
- They also have a hierarchical structure, where each node has at most two child nodes.
- In a BST, the left child of a node contains keys smaller than the node's key, and the right child contains keys greater than the node's key.
- BSTs grow downward, meaning that the root is at the bottom and the leaves are at the top.
Time Complexity of Search Operation:
- The time complexity of the search operation in a B/B tree is O(log n), where n is the number of keys in the tree.
- This is because B/B trees are balanced, and the height of the tree is logarithmic with respect to the number of keys.
- On the other hand, the time complexity of the search operation in a Red Black Tree (another type of balanced search tree) is also O(log n).
- Therefore, the statement that B/B trees have a better time complexity for search operations than Red Black Trees in general is FALSE.
Number of Child Pointers in a B/B Tree Node:
- In a B/B tree, the number of child pointers in a node is always equal to the number of keys in it plus one.
- This property ensures that the tree remains balanced and maintains the search efficiency.
- So, the statement that the number of child pointers in a B/B tree node is always equal to the number of keys in it plus one is TRUE.
Minimum Degree of a B/B Tree:
- A B/B tree is defined by a term called the minimum degree, denoted as 'd'.
- The minimum degree of a B/B tree determines the minimum number of keys a non-root node can have.
- The minimum degree depends on various factors such as the hard disk block size, key size, and address size.
- The larger the minimum degree, the larger the number of keys a node can have, resulting in a shallower tree.
- So, the statement that the minimum degree of a B/B tree depends on the hard disk block size, key size, and address size is TRUE.
Therefore, the FALSE statement is option 'B' - the time complexity of the search operation in a B/B tree is better than Red Black Trees in general.
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Which of the following is FALSE about B/B+ treea)B/B+ trees grow upwar...
Asymptotic time complexity of both is of order logn.
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Which of the following is FALSE about B/B+ treea)B/B+ trees grow upward while Binary Search Trees grow downward.b)Time complexity of search operation in B/B+ tree is better than Red Black Trees in general.c)Number of child pointers in a B/B+ tree node is always equals to number of keys in it plus one.d)A B/B+ tree is defined by a term minimum degree. And minimum degree depends on hard disk block size, key and address sizes.Correct answer is option 'B'. Can you explain this answer?
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Which of the following is FALSE about B/B+ treea)B/B+ trees grow upward while Binary Search Trees grow downward.b)Time complexity of search operation in B/B+ tree is better than Red Black Trees in general.c)Number of child pointers in a B/B+ tree node is always equals to number of keys in it plus one.d)A B/B+ tree is defined by a term minimum degree. And minimum degree depends on hard disk block size, key and address sizes.Correct answer is option 'B'. 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 Which of the following is FALSE about B/B+ treea)B/B+ trees grow upward while Binary Search Trees grow downward.b)Time complexity of search operation in B/B+ tree is better than Red Black Trees in general.c)Number of child pointers in a B/B+ tree node is always equals to number of keys in it plus one.d)A B/B+ tree is defined by a term minimum degree. And minimum degree depends on hard disk block size, key and address sizes.Correct answer is option 'B'. 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 Which of the following is FALSE about B/B+ treea)B/B+ trees grow upward while Binary Search Trees grow downward.b)Time complexity of search operation in B/B+ tree is better than Red Black Trees in general.c)Number of child pointers in a B/B+ tree node is always equals to number of keys in it plus one.d)A B/B+ tree is defined by a term minimum degree. And minimum degree depends on hard disk block size, key and address sizes.Correct answer is option 'B'. Can you explain this answer?.
Which of the following is FALSE about B/B+ treea)B/B+ trees grow upward while Binary Search Trees grow downward.b)Time complexity of search operation in B/B+ tree is better than Red Black Trees in general.c)Number of child pointers in a B/B+ tree node is always equals to number of keys in it plus one.d)A B/B+ tree is defined by a term minimum degree. And minimum degree depends on hard disk block size, key and address sizes.Correct answer is option 'B'. 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 Which of the following is FALSE about B/B+ treea)B/B+ trees grow upward while Binary Search Trees grow downward.b)Time complexity of search operation in B/B+ tree is better than Red Black Trees in general.c)Number of child pointers in a B/B+ tree node is always equals to number of keys in it plus one.d)A B/B+ tree is defined by a term minimum degree. And minimum degree depends on hard disk block size, key and address sizes.Correct answer is option 'B'. 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 Which of the following is FALSE about B/B+ treea)B/B+ trees grow upward while Binary Search Trees grow downward.b)Time complexity of search operation in B/B+ tree is better than Red Black Trees in general.c)Number of child pointers in a B/B+ tree node is always equals to number of keys in it plus one.d)A B/B+ tree is defined by a term minimum degree. And minimum degree depends on hard disk block size, key and address sizes.Correct answer is option 'B'. Can you explain this answer?.
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