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lower bounds

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In this month’s column, we’ll explore the best lower bounds of algorithms to determine whether a given graph is connected or not. We will then discuss the problem of finding the minimum element in a circular sorted linked list, given an arbitrary pointer into the list.

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This month’s column focuses on computational complexity and the lower bounds for algorithms. In particular, we’ll show that any algorithm to find the maximum in an array of N elements has a lower bound of O(N) by using an adversary argument.