On parallel generation of partial derangements, derangements and permutations / Zbigniew Kokosiński // W: Parallel Processing and Applied Mathematics : 7th International Conference, PPAM 2007, Gdansk, ... więcej

On parallel generation of partial derangements, derangements and permutations / Zbigniew Kokosiński // W: Parallel Processing and Applied Mathematics : 7th International Conference, PPAM 2007, Gdansk, Poland, September 9-12, 2007 : revised selected papers [Dokument elektroniczny] / eds. R. Wyrzykowski [et al.]. – Berlin ; Heidelberg : Springer, 2008. – (Lecture Notes in Computer Science, ISSN 1611-3349 ; 4967). – S. 219-228 : tab. – Tryb dostępu: https://link.springer.com/chapter/10.1007/978-3-540-68111-3_24. – Bibliogr. 18 poz., Abstr. – doi: 10.1007/978-3-540-68111-3_24. – ISBN 978-3-540-68111-3 (online). – ISBN 978-3-540-68105-2 (print)

The concept of a partial derangement is introduced and a versatile representation of partial derangements is proposed with permutations and derangements as special cases. The representation is derived ... więcej

The concept of a partial derangement is introduced and a versatile representation of partial derangements is proposed with permutations and derangements as special cases. The representation is derived from a representation of permutations by iterative decomposition of symmetric permutation group S n into cosets. New algorithms are proposed for generation of partial set derangements in t. The control sequences produced by the generation algorithms appear either in lexicographic or reverse lexicographic order while the output sequences representing partial derangements are obtained from the control sequences in corresponding linear orders. A parallel hardware implementation of the generator of partial derangements is described.