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This is my first question here. I was studying binomial heaps and it time analysis. Can there be any inputs that cause DELETE-MIN, DECREASE-KEY,and DELETE to run in Big-omega(log n) time for a binomial heap rather than Big-O(logn)

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Welcome to MSE! Are you sure this is the right forum or did you want the Programmers SE? Regards –  Amzoti Jan 16 '13 at 0:19
    
Actually, Computer Science.SE is probably the right place for this (not Programmers). This is squarely within the scope of CS.SE. –  D.W. Jan 16 '13 at 1:18
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All those operations take $\Theta(\log n)$ time which is both $O(\log n)$ and $\Omega(\log n)$ time. Did you mean $\omega(\log n)$? In which case the answer is no for the reason I just gave. See chapter 20 of CLRS or http://en.wikipedia.org/wiki/Binomial_heap for example.

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