DOAJ Open Access 2005

Distributional analysis of Robin Hood linear probing hashing with buckets

Alfredo Viola

Abstrak

This paper presents the first distributional analysis of a linear probing hashing scheme with buckets of size $b$. The exact distribution of the cost of successful searches for a $b \alpha$ -full table is obtained, and moments and asymptotic results are derived. With the use of the Poisson transform distributional results are also obtained for tables of size $m$ and $n$ elements. A key element in the analysis is the use of a new family of numbers that satisfies a recurrence resembling that of the Bernoulli numbers. These numbers may prove helpful in studying recurrences involving truncated generating functions, as well as in other problems related with buckets.

Topik & Kata Kunci

Penulis (1)

A

Alfredo Viola

Format Sitasi

Viola, A. (2005). Distributional analysis of Robin Hood linear probing hashing with buckets. https://doi.org/10.46298/dmtcs.3386

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3386
Informasi Jurnal
Tahun Terbit
2005
Sumber Database
DOAJ
DOI
10.46298/dmtcs.3386
Akses
Open Access ✓