What is K ary search?

A natural idea to boost the speed of searching is, therefore, to not run binary search but k-ary search, k > 2, where each step divides the search space into k parts based on the outcome of k − 1 comparisons (e.g., k = 5 for the Cell with 4-way vector registers).

What is the time complexity of the ternary search algorithm?

Therefore, a ternary search will still give the same asymptotic complexity O(log(n)) search time but adds complexity to the implementation. The same argument is valid for a quaternary search or k–nary search for any other higher order.

What is the algorithmic complexity of binary search?

The time complexity of the binary search algorithm is O(log n). The best-case time complexity would be O(1) when the central index would directly match the desired value.

What is the space complexity of performing a DFS A of complete K ary with N nodes?

DFS space complexity: O(d)

What is the maximum number of nodes in a K ary tree of height h prove your answer?

For any k-ary tree the total number of nodes n = [(k^(h+1))-1]/(h-1) where h is the height of the k-ary tree. Ex:- For complete binary tree(k=2) total no.

Is binary or ternary search faster?

Thus, we can say that Binary search is faster than Ternary search. This happens because of the increase in the number of comparisons in Ternary search. In simple words, the reduction in the number of iterations in Ternary search is not able to compensate for the increase in comparisons.

What is time complexity of bubble sort?

The bubble sort algorithm is a reliable sorting algorithm. This algorithm has a worst-case time complexity of O(n2). The bubble sort has a space complexity of O(1).

What is complexity of linear search?

The complexity of linear search is therefore O(n). If the element to be searched lived on the the first memory block then the complexity would be: O(1).

What is the space complexity of DFS algorithm?

The space complexity for DFS is O(h) where h is the maximum height of the tree.