151. Kernels for acyclic digraphs
- Author
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Elzinga, Cees H. and Wang, Hui
- Subjects
- *
KERNEL functions , *DIRECTED graphs , *GRAPH theory , *COMPARATIVE studies , *COMPUTATIONAL complexity , *ALGORITHMS - Abstract
Abstract: This paper proposes two efficient kernels for comparing acyclic, directed graphs. The first kernel counts the number of common paths and allows for weighing according to path-length and/or according to the vertices contained in each particular path. The second kernel counts the number of paths in common minors of the graphs involved and allows for length- and vertex-weighting too. Both kernels have algorithmic complexity that is cubic in the size of the vertex-set. The performance of the algorithms is concisely demonstrated using synthetic and real data. [Copyright &y& Elsevier]
- Published
- 2012
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