A miniswap Si,1 ≤ i \u3c n, compares two adjacent keys Пi, Пi+1 in the sequence (П1, ... , Пn), and transposes them if they are out of order. A full sweep is any composition of all n - 1 possible miniswaps. We prove that the composition of any n- 1 full sweeps is a sorting function
Sorting algorithms based on successive merging of ordered subsequences are widely used, due to their...
AbstractBuilding on previous works, this paper establishes that the minimal depth of a Bitonic sorte...
We introduce a new deterministic parallel sorting algorithm based on the regular sampling approach...
A miniswap Si,1 ≤ i \u3c n, compares two adjacent keys Пi, Пi+1 in the sequence (П1, ... , Пn), and ...
AbstractIf π is a permutation of {1,…,n}, then the effect of the swap Sij on π is that the ith and f...
AbstractAs a preparation to the study of a particular sorting machine, the sorting of arrays by sequ...
AbstractA simplified form of a sorting machine devised by Armstrong and Rem is defined in this note,...
AbstractThis paper provides a unifying mathematical proof which replaces a mechanical certification ...
As a preparation to the study of a particular sorting machine, the sorting of arrays by sequences of...
A permutation is said to avoid a pattern if it does not contain any subsequence which is order-isomo...
A large number of parallel applications contain a compu-tationally intensive phase in which a large ...
The problem of determining which permutations can be sorted using certain switchyard networks is a v...
In this paper, we propose a taxonomy of parallel sorting that includes a broad range of array and f...
Sorting is one of the fundamental operations in computer science, and many sequential and parallel a...
[[abstract]]In this paper we propose a new parallel sorting algorithm which is based upon an operati...
Sorting algorithms based on successive merging of ordered subsequences are widely used, due to their...
AbstractBuilding on previous works, this paper establishes that the minimal depth of a Bitonic sorte...
We introduce a new deterministic parallel sorting algorithm based on the regular sampling approach...
A miniswap Si,1 ≤ i \u3c n, compares two adjacent keys Пi, Пi+1 in the sequence (П1, ... , Пn), and ...
AbstractIf π is a permutation of {1,…,n}, then the effect of the swap Sij on π is that the ith and f...
AbstractAs a preparation to the study of a particular sorting machine, the sorting of arrays by sequ...
AbstractA simplified form of a sorting machine devised by Armstrong and Rem is defined in this note,...
AbstractThis paper provides a unifying mathematical proof which replaces a mechanical certification ...
As a preparation to the study of a particular sorting machine, the sorting of arrays by sequences of...
A permutation is said to avoid a pattern if it does not contain any subsequence which is order-isomo...
A large number of parallel applications contain a compu-tationally intensive phase in which a large ...
The problem of determining which permutations can be sorted using certain switchyard networks is a v...
In this paper, we propose a taxonomy of parallel sorting that includes a broad range of array and f...
Sorting is one of the fundamental operations in computer science, and many sequential and parallel a...
[[abstract]]In this paper we propose a new parallel sorting algorithm which is based upon an operati...
Sorting algorithms based on successive merging of ordered subsequences are widely used, due to their...
AbstractBuilding on previous works, this paper establishes that the minimal depth of a Bitonic sorte...
We introduce a new deterministic parallel sorting algorithm based on the regular sampling approach...