Constrained Stress Majorization Using Diagonally Scaled Gradient Projection

Dwyer, Tim and Marriott, Kim (2008) Constrained Stress Majorization Using Diagonally Scaled Gradient Projection. In: Graph Drawing 15th International Symposium, GD 2007, September 24-26, 2007 , pp. 219-230(Official URL:

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Constrained stress majorization is a promising new technique for integrating application specific layout constraints into force-directed graph layout. We significantly improve the speed and convergence properties of the constrained stress-majorization technique for graph layout by employing a diagonal scaling of the stress function. Diagonal scaling requires the active-set quadratic programming solver used in the projection step to be extended to handle separation constraints with scaled variables, i.e. of the form s_i y_i + g_ij le s_j y_j. The changes, although relatively small, are quite subtle and explained in detail.

Item Type: Conference Paper
Additional Information: 10.1007/978-3-540-77537-9_23
Classifications: M Methods > M.100 Algebraic
P Styles > P.720 Straight-line

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