scholarly journals On Risks of Using Cuckoo Hashing with Simple Universal Hash Classes

Author(s):  
Martin Dietzfelbinger ◽  
Ulf Schellbach
Keyword(s):  
2015 ◽  
Vol 25 (6) ◽  
pp. 870-908 ◽  
Author(s):  
NIKOLAOS FOUNTOULAKIS ◽  
MEGHA KHOSLA ◽  
KONSTANTINOS PANAGIOTOU

Ak-uniform hypergraphH= (V, E) is called ℓ-orientable if there is an assignment of each edgee∈Eto one of its verticesv∈esuch that no vertex is assigned more than ℓ edges. LetHn,m,kbe a hypergraph, drawn uniformly at random from the set of allk-uniform hypergraphs withnvertices andmedges. In this paper we establish the threshold for the ℓ-orientability ofHn,m,kfor allk⩾ 3 and ℓ ⩾ 2, that is, we determine a critical quantityc*k,ℓsuch that with probability 1 −o(1) the graphHn,cn,khas an ℓ-orientation ifc<c*k,ℓ, but fails to do so ifc>c*k,ℓ.Our result has various applications, including sharp load thresholds for cuckoo hashing, load balancing with guaranteed maximum load, and massive parallel access to hard disk arrays.


2008 ◽  
pp. 212-215 ◽  
Author(s):  
Rasmus Pagh
Keyword(s):  

Algorithmica ◽  
2013 ◽  
Vol 70 (3) ◽  
pp. 428-456 ◽  
Author(s):  
Martin Aumüller ◽  
Martin Dietzfelbinger ◽  
Philipp Woelfel
Keyword(s):  

Author(s):  
Saeyoung Jang ◽  
Hayoung Byun ◽  
Hyesook Lim
Keyword(s):  

2003 ◽  
Vol 86 (4) ◽  
pp. 215-219 ◽  
Author(s):  
Luc Devroye ◽  
Pat Morin
Keyword(s):  

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