Two probabilistic results on merging
SIAM Journal on Computing
Significant Improvements to the Hwang-Lin Merging Algorithm
Journal of the ACM (JACM)
Adaptive set intersections, unions, and differences
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Binary Interpolative Coding for Effective Index Compression
Information Retrieval
Sublinear Merging and Natural Merge Sort
SIGAL '90 Proceedings of the International Symposium on Algorithms
Alternation and redundancy analysis of the intersection problem
ACM Transactions on Algorithms (TALG)
Improving the bounds on optimal merging
SFCS '78 Proceedings of the 19th Annual Symposium on Foundations of Computer Science
On compressing permutations and adaptive sorting
Theoretical Computer Science
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We show that any comparison-based merging algorithm can be naturally mapped into a source coder via a conversion function introduced here. By applying this function over some well known merging algorithms, namely Binary Merging and Recursive Merging, we show that they are closely related to a runlength-based coder with Rice coding and to the Binary Interpolative Coder, respectively. Furthermore, by applying the conversion function over the Probabilistic Merging algorithm we obtain a runlength-based coder that uses a new variant of the Rice code, namely Randomized Rice Code. This new code uses a random source of bits with the aim of reducing its average redundancy.