Streaming Graph Computations with a Helpful Advisor

Motivated by the trend to outsource work to commercial cloud computing services, we consider a variation of the streaming paradigm where a streaming algorithm can be assisted by a powerful helper that can provide annotations to the data stream. We extend previous work on such annotation models by considering a number of graph streaming problems. Without annotations, streaming algorithms for graph problems generally require significant memory; we show that for many standard problems, including all graph problems that can be expressed with totally unimodular integer programming formulations, only a constant number of hash values are needed for single-pass algorithms given linear-sized annotations. We also obtain a protocol achieving optimal tradeoffs between annotation length and memory usage for matrix-vector multiplication; this result contributes to a trend of recent research on numerical linear algebra in streaming models.

• Type: Conference
• Year: 2010
• Where: ESA
• Authors: Graham Cormode, Michael Mitzenmacher, Justin Thaler
• Keywords: Algorithms, ESA 2010, Graph Problems, Graph Streaming Problems, Streaming Algorithms