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Questions about the science and art of determining properties of algorithms, often including correctness, runtime and space usage. Use the [runtime-analysis] tag for questions about the runtime of algorithms.

7 votes

Why does bubble sort do $\Theta(n^2)$ comparisons on an $n$ element list?

I have to disagree slightly with what Shaull said, although it still comes out to the same big-theta run time. It is true that the first element in a reversely sorted list will have n-1 comparisons, b …
Brent Hronik's user avatar
3 votes

What are the characteristics of a $\Theta(n \log n)$ time complexity algorithm?

Typically, Divide-and-conquer algorithms will yield O(N log N) complexity.
Brent Hronik's user avatar