What is the time complexity for increasing priority of key in a minimum ternary heap of n elements?

Category: QuestionsWhat is the time complexity for increasing priority of key in a minimum ternary heap of n elements?
Editor">Editor Staff asked 4 weeks ago

What is the time complexity for increasing priority of key in a minimum ternary heap of n elements?
 
(a) O (log n/ log 3)
 
(b) O (3log n/ log 3)
 
(c) O (n)
 
(d) O (1)
 
This interesting question is from Ternary heap topic in section Heap of Data Structures & Algorithms I
 
I had been asked this question by my school principal while I was bunking the class.

1 Answers
Editor">Editor Staff answered 4 weeks ago

The correct answer is (b) O (3log n/ log 3)
 
Explanation: In order to the increasing the priority of key in a minimum ternary heap data structure having n elements, it performs downward swapping. So the time complexity for worst case is found to be O (3log n/ log 3).