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Merging $T$ sorted, non-redundant lists containing $M$ elements into a singlesorted, non-redundant result of size $N \ge M/T$ is a classic problem typicallysolved practically in $O(M \log T)$ time with a priority-queue data structurethe most basic of which is the simple *heap*. We revisit this problem in thesituation where the list elements are *strings* and the lists contain many*identical or nearly identical elements*. By keeping simple auxiliaryinformation with each heap node, we devise an $O(M \log T+S)$ worst-case methodthat performs no more character comparisons than the sum of the lengths of allthe strings $S$, and another $O(M \log (T/ \bar e)+S)$ method that becomesprogressively more efficient as a function of the fraction of equal elements$\bar e = M/N$ between input lists, reaching linear time when the lists are allidentical. The methods perform favorably in practice versus an alternateformulation based on a trie.

Merging Sorted Lists of Similar Strings