Speeding up algorithms on compressed web graphs. (English) Zbl 1235.68037

Karande, Chinmay; Chellapilla, Kumar; Andersen, Reid

Internet Math. 6, No. 3, 373-398 (2009).

Summary: A variety of lossless compression schemes has been proposed to reduce the storage requirements of web graphs. One successful approach is virtual-node compression, in which often-used patterns of links are replaced by links to virtual nodes, creating a compressed graph that succinctly represents the original. In this paper, we show that several important classes of web graph algorithms can be extended to run directly on virtual-node-compressed graphs, such that their running times depend on the size of the compressed graph rather than on that of the original. These include algorithms for link analysis, estimating the size of vertex neighborhoods, and a variety of algorithms based on matrix-vector products and random walks. Similar speedups have been obtained previously for classical graph algorithms such as shortest paths and maximum bipartite matching. We measure the performance of our modified algorithms on several publicly available web graph data sets, and demonstrate significant empirical speedups that nearly match the compression ratios.

MSC:

68M11	Internet topics
68P30	Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science)
68R10	Graph theory (including graph drawing) in computer science
05C85	Graph algorithms (graph-theoretic aspects)

Keywords:

compressed web graphs; web graph algorithms

Software:

UbiCrawler