Journal
SIAM JOURNAL ON COMPUTING
Volume 39, Issue 4, Pages 1543-1561Publisher
SIAM PUBLICATIONS
DOI: 10.1137/080728743
Keywords
cuckoo hashing; probabilistic analysis; hash table
Funding
- NSF [CNS-0721491]
- Cisco Systems
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Cuckoo hashing holds great potential as a high-performance hashing scheme for real applications. Up to this point, the greatest drawback of cuckoo hashing appears to be that there is a polynomially small but practically significant probability that a failure will occur during the insertion of an item, requiring an expensive rehashing of all items in the table. In this paper, we show that this failure probability can be dramatically reduced by the addition of a very small constant-sized stash. We demonstrate both analytically and through simulations that stashes of size equivalent to only three or four items yield tremendous improvements, enhancing cuckoo hashing's practical viability in both hardware and software. Our analysis naturally extends previous analyses of multiple cuckoo hashing variants, and the approach may prove useful in further related schemes.
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