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ICALP
2010
Springer
13 years 11 months ago
On the k-Independence Required by Linear Probing and Minwise Independence
We show that linear probing requires 5-independent hash functions for expected constant-time performance, matching an upper bound of [Pagh et al. STOC’07]. For (1 + ε)-approxima...
Mihai Patrascu, Mikkel Thorup
ALENEX
2010
156views Algorithms» more  ALENEX 2010»
13 years 7 months ago
Tabulation Based 5-Universal Hashing and Linear Probing
Previously [SODA'04] we devised the fastest known algorithm for 4-universal hashing. The hashing was based on small pre-computed 4-universal tables. This led to a five-fold i...
Mikkel Thorup, Yin Zhang
COMCOM
2011
13 years 1 months ago
Palmtree: An IP alias resolution algorithm with linear probing complexity
Internet topology mapping studies utilize large scale topology maps to analyze various characteristics of the Internet. IP alias resolution, the task of mapping IP addresses to th...
M. Engin Tozal, Kamil Saraç
SIAMCOMP
2012
11 years 8 months ago
Tabulation-Based 5-Independent Hashing with Applications to Linear Probing and Second Moment Estimation
Abstract. In the framework of Carter and Wegman, a k-independent hash function maps any k keys independently. It is known that 5independent hashing provides good expected performan...
Mikkel Thorup, Yin Zhang
SOCIALCOM
2010
13 years 4 months ago
Estimating the Size of Online Social Networks
The huge size of online social networks (OSNs) makes it prohibitively expensive to precisely measure any properties which require the knowledge of the entire graph. To estimate the...
Shaozhi Ye, Shyhtsun Felix Wu