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Selection from heaps, row-sorted matrices and X+Y using soft heaps
[article]
2018
arXiv
pre-print
We use soft heaps to obtain simpler optimal algorithms for selecting the k-th smallest item, and the set of k smallest items, from a heap-ordered tree, from a collection of sorted lists, and from X+Y, where X and Y are two unsorted sets. Our results match, and in some ways extend and improve, classical results of Frederickson (1993) and Frederickson and Johnson (1982). In particular, for selecting the k-th smallest item, or the set of k smallest items, from a collection of m sorted lists we
arXiv:1802.07041v1
fatcat:xgxxraibxbcklc7qysvkwchami