Kernels for acyclic digraphs

  • Authors:
  • Cees H. Elzinga;Hui Wang

  • Affiliations:
  • Department of Sociology, PARIS Research Program, VU University Amsterdam, The Netherlands;Computer Science Research Institute, School of Computing and Mathematics, University of Ulster, UK

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2012

Quantified Score

Hi-index 0.10

Visualization

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.