Drawing graphs by eigenvectors: theory and practice

  • Authors:
  • Y. Koren

  • Affiliations:
  • -

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2005

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Abstract

The spectral approach for graph visualization computes the layout of a graph using certain eigenvectors of related matrices. Two important advantages of this approach are an ability to compute optimal layouts (according to specific requirements) and a very rapid computation time. In this paper, we explore spectral visualization techniques and study their properties from different points of view. We also suggest a novel algorithm for calculating spectral layouts resulting in an extremely fast computation by optimizing the layout within a small vector space.