On Poset Merging∗
نویسندگان
چکیده
We consider the follow poset merging problem: Let X and Y be two subsets of a partially ordered set S. Given complete information about the ordering within both X and Y , how many comparisons are needed to determine the order on X ∪ Y ? This problem is a natural generalization of the list merging problem. While searching in partially ordered sets and sorting partially ordered sets have been considered before, it seems that the problem of poset merging is an unexplored one. We present efficient algorithms for this problem, and show the first lower bounds. In certain cases, our algorithms use the optimal number of comparisons.
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تاریخ انتشار 2008