Efficient Graphlet Kernels for Large Graph Comparison
Max Planck Society · Max Planck Institute for Biological Cybernetics
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 graphlets, i.e., subgraphs with k nodes where k {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.
Citation impact
- FWCI
- 18.57
- Percentile
- 100%
- References
- 22
Authors
5- NSNino SherashidzeCorresponding
Max Planck Society, Max Planck Institute for Biological Cybernetics
- SVS. V. N. Vishwanathan
- TPTobias Petri
Max Planck Society, Max Planck Institute for Biological Cybernetics
- KMKurt Mehlhorn
Max Planck Society
- KBKarsten Borgwardt
Max Planck Society, Max Planck Institute for Biological Cybernetics
Topics & keywords
- Speedup
- Computer science
- Enumeration
- Theoretical computer science
- Graph
- Bounded function
- Discrete mathematics
- Mathematics