Tight and simple Web graph compression for forward and reverse neighbor queries

• Authors: Szymon Grabowski;Wojciech Bieniecki
• Venue: Discrete Applied Mathematics
• Year: 2014

Analyzing Web graphs has applications in determining page ranks, fighting Web spam, detecting communities and mirror sites, and more. This study is however hampered by the necessity of storing a major part of huge graphs in the external memory which prevents efficient random access to edge (hyperlink) lists. A number of algorithms involving compression techniques have thus been presented, to represent Web graphs succinctly, but also providing random access. Those techniques are usually based on differential encodings of the adjacency lists, finding repeating nodes or node regions in the successive lists, more general grammar-based transformations or 2-dimensional representations of the binary matrix of the graph. In this paper we present three Web graph compression algorithms. The first can be seen as engineering of the Boldi and Vigna (2004) [8] method. We extend the notion of similarity between link lists and use a more compact encoding of residuals. The algorithm works on blocks of varying size (in the number of input lists) and sacrifices access time for better compression ratio, achieving more succinct graph representation than other algorithms reported in the literature. The second algorithm works on blocks of the same size in the number of input lists. Its key mechanism is merging the block into a single ordered list. This method achieves much more attractive space-time tradeoffs. Finally, we present an algorithm for bidirectional neighbor query support, which offers compression ratios better than those known from the literature.