Title
TRIÈST: Counting Local and Global Triangles in Fully-dynamic Streams with Fixed Memory Size.
Abstract
We present TRIEST, a suite of one-pass streaming algorithms to compute unbiased, low-variance, high-quality approximations of the global and local (i.e., incident to each vertex) number of triangles in a fully-dynamic graph represented as an adversarial stream of edge insertions and deletions. Our algorithms use reservoir sampling and its variants to exploit the user-specified memory space at all times. This is in contrast with previous approaches, which require hard-to-choose parameters (e.g., a fixed sampling probability) and offer no guarantees on the amount of memory they use. We analyze the variance of the estimations and show novel concentration bounds for these quantities. Our experimental results on very large graphs demonstrate that TRIEST outperforms state-of-the-art approaches in accuracy and exhibits a small update time.
Year
DOI
Venue
2016
10.1145/2939672.2939771
KDD
DocType
Volume
Citations 
Conference
abs/1602.07424
27
PageRank 
References 
Authors
0.82
29
4
Name
Order
Citations
PageRank
Lorenzo De Stefani1526.76
Alessandro Epasto223617.08
Matteo Riondato334020.63
Eli Upfal44310743.13