Jul 10, 2007 · Abstract: Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared.
Our algorithms gather information about the poset by querying an oracle; the oracle responds to a query on a pair of elements by giving their relation or a ...
[PDF] Sorting and Selection in Posets | SIAM Journal on Computing
dspace.mit.edu › bitstream › handle
Usually, sorting algorithms are evaluated by two complexity measures: query complexity, the number of comparisons performed, and total complexity, the number of ...
In this paper, we study these problems in the context of partially ordered sets, in which some pairs of objects are incomparable.
Abstract. Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared. In this paper, we study these problems ...
Dec 18, 2013 · We give efficient deterministic and randomized algorithms for finding the minimal elements with O(wn) query and total complexity. We provide ...
Oct 22, 2024 · Sorting is the process of determining the underlying linear ordering of a set Sof nelements. ... such familiar algorithms as Heapsort, Quicksort, ...
People also ask
What is the difference between selection sorting and insertion sorting?
Which algorithm uses selection method for sorting?
What are partially ordered sets?
What are comparable elements in poset?
This paper presents the first algorithm that sorts a width-$w poset of size $n$ with query complexity $O(n(w+\log n)$ and proves that this query complexity ...
Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared. In this paper, we study these problems in ...
Sorting and Selection in Posets. Classical problems of sorting and searching assume an underlying linear ordering of the objects being compared. · Sorting-based ...