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Towards Unbiased BFS Sampling

delete2011-10-01
delete121
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OA
AI
M
Maciej Kurant *
A
Athina Markopoulou
P
Patrick Thiran
DOI:10.1109/JSAC.2011.111005delete
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摘要

摘要

En 中文
Breadth First Search (BFS) is a widely used approach for sampling large graphs. However, it has been empirically observed that BFS sampling is biased toward high-degree nodes, which may strongly affect the measurement results. In this paper, we quantify and correct the degree bias of BFS. First, we consider a random graph RG(pk) with an arbitrary degree distribution pk. For this model, we calculate the node degree distribution expected to be observed by BFS as a function of the fraction f of covered nodes. We also show that, for RG(pk), all commonly used graph traversal techniques (BFS, DFS, Forest Fire, Snowball Sampling, RDS) have exactly the same bias. Next, we propose a practical BFS-bias correction procedure that takes as input a collected BFS sample together with the fraction f. Our correction technique is exact (i.e., leads to unbiased estimation) for RG(pk). Furthermore, it performs well when applied to a broad range of Internet topologies and to two large BFS samples of Facebook and Orkut networks.
Keyword:
Breadth-First-Search (BFS)
network topology
sampling methods
bias
estimation
online social networks

期刊

IEEE Journal on Selected Areas in Communications 封面图
IEEE Journal on Selected Areas in Communications
IF:
17.2
论文数:
6.4K
被引数:
3.1W

机构

University of California System 封面图
University of California System
学者数:
37.7W
论文数: 33.8W
被引数: 6.6K
U
university of california irvine
学者数:
2.3W
论文数: 1.7W
被引数: 55
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