NDLI: External memory K-bisimulation reduction of big graphs

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External memory K-bisimulation reduction of big graphs

Content Provider	ACM Digital Library
Author	Luo, Yongming Wu, Yuqing Fletcher, George H.L. De Bra, Paul Hidders, Jan
Abstract	In this paper, we present, to our knowledge, the first known I/O efficient solutions for computing the k-bisimulation partition of a massive directed graph, and performing maintenance of such a partition upon updates to the underlying graph. Ubiquitous in the theory and application of graph data, bisimulation is a robust notion of node equivalence which intuitively groups together nodes in a graph which share fundamental structural features. k-bisimulation is the standard variant of bisimulation where the topological features of nodes are only considered within a local neighborhood of radius k > 0. The I/O cost of our partition construction algorithm is bounded by O(k · $sort\}(\|E^{t}\|)$ + k · $scan(\|N^{t}\|)$ + $sort(\|N^{t}\|)),$ while our maintenance algorithms are bounded by O(k · $sort\}(\|E^{t}\|)$ + k · $scan(\|N^{t}\|).$ The space complexity bounds are $O(\|N^{t}\|+\|E^{t}\|)\$$ and O(k · $\|N^{t}\|+k$ $·\|E^{t}\|),$ resp. Here, $\|E^{t}\|$ and $\|N^{t}\|$ are the number of disk pages occupied by the input graph's edge set and node set, resp., and sort(n) and scan(n) are the cost of sorting and scanning, resp., a file occupying n pages in external memory. Empirical analysis on a variety of massive real-world and synthetic graph datasets shows that our algorithms perform efficiently in practice, scaling gracefully as graphs grow in size.
Starting Page	919
Ending Page	928
Page Count	10
File Format	PDF
ISBN	9781450322638
DOI	10.1145/2505515.2505752
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2013-10-27
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	External memory algorithm Graph bisimulation Structural index
Content Type	Text
Resource Type	Article

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