Drawing graphs by eigenvectors: Theory and practice (2005)
| Venue: | Computers and Mathematics with Applications |
| Citations: | 8 - 1 self |
BibTeX
@ARTICLE{Koren05drawinggraphs,
author = {Yehuda Koren},
title = {Drawing graphs by eigenvectors: Theory and practice},
journal = {Computers and Mathematics with Applications},
year = {2005},
volume = {49},
pages = {2005}
}
OpenURL
Abstract
Abstract. The spectral approach for graph visualization computes the layout of a graph using certain eigenvectors of related matrices. Some 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.







