Efficient Graphlet Kernels for Large Graph Comparison
Nino Shervashidze, S V N Vishwanathan, Tobias Petri, Kurt Mehlhorn and Karsten Borgwardt
AISTATS 2009 2008.

## Abstract

State-of-the-art graph kernels do not scale to large graphs with hundreds of nodes and thousands of edges. In this article we propose to compare graphs by counting common {\it graphlets}, \ie subgraphs with $k$ nodes where $k \in \{ 3, 4, 5 \}$. Exhaustive enumeration of all graphlets being prohibitively expensive, we introduce two theoretically grounded speedup schemes, one based on sampling and the second one specifically designed for bounded degree graphs. In our experimental evaluation, our novel kernels allow us to efficiently compare large graphs that cannot be tackled by existing graph kernels.

EPrint Type: Article Project Keyword UNSPECIFIED Learning/Statistics & Optimisation 4965 Karsten Borgwardt 24 March 2009