The Limiting Distribution for the Number of Symbol Comparisons Used by QuickSort is Nondegenerate (Extended Abstract) - Inria - Institut national de recherche en sciences et technologies du numérique
Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2012

The Limiting Distribution for the Number of Symbol Comparisons Used by QuickSort is Nondegenerate (Extended Abstract)

Résumé

In a continuous-time setting, Fill (2012) proved, for a large class of probabilistic sources, that the number of symbol comparisons used by $\texttt{QuickSort}$, when centered by subtracting the mean and scaled by dividing by time, has a limiting distribution, but proved little about that limiting random variable $Y$—not even that it is nondegenerate. We establish the nondegeneracy of $Y$. The proof is perhaps surprisingly difficult.
Fichier principal
Vignette du fichier
dmAQ0126.pdf (329.65 Ko) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01197223 , version 1 (11-09-2015)

Identifiants

Citer

Patrick Bindjeme, James Allen Fill. The Limiting Distribution for the Number of Symbol Comparisons Used by QuickSort is Nondegenerate (Extended Abstract). 23rd International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'12), 2012, Montreal, Canada. pp.349-360, ⟨10.46298/dmtcs.3004⟩. ⟨hal-01197223⟩

Collections

TDS-MACS
64 Consultations
692 Téléchargements

Altmetric

Partager

More