Which of the following is true?

Category: QuestionsWhich of the following is true?
Editor">Editor Staff asked 1 month ago

Which of the following is true?
 
(a) larger the order of B-tree, less frequently the split occurs
 
(b) larger the order of B-tree, more frequently the split occurs
 
(c) smaller the order of B-tree, more frequently the split occurs
 
(d) smaller the order of B-tree, less frequently the split occurs
 
This interesting question is from B-Trees topic in division B-Trees of Data Structures & Algorithms I
 
I had been asked this question in homework.

1 Answers
Editor">Editor Staff answered 1 month ago

Right option is (a) larger the order of B-tree, less frequently the split occurs
 
To explain: The average probability of the split is 1/(⌈m / 2⌉ – 1), where m is the order of B-tree. So, if m larger, the probability of split will be less.