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Asymptotically efficient in-place merging. (English) Zbl 0939.68160
Summary: Two linear-time algorithms for in-place/merging are presented. Both algorithms perform at most $$m(t+1)+n/2^{t}+o(m)$$ comparisons, where m and n are the sizes of the input sequences, $$m<n$$, and $$t=\lfloor\log_{2} (n/m)\rfloor$$. The first algorithm is for unstable/ merging and it carries out no more than $$3(n+m)+o(m)$$ element moves. The second algorithm is for stable/merging and it accomplishes at most $$5n+12m+o(m)$$ moves.

##### MSC:
 68W05 Nonnumerical algorithms 68P10 Searching and sorting
##### Keywords:
in-place algorithms; merging; sorting
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##### References:
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