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» On Representations of Some Thickness-Two Graphs
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NIPS
2001
13 years 11 months ago
Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering
Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami operator on a manifold, and the connections to the heat equation, we propose a geometrically motiva...
Mikhail Belkin, Partha Niyogi
ECCV
2002
Springer
14 years 11 months ago
Transitions of the 3D Medial Axis under a One-Parameter Family of Deformations
The instabilities of the medial axis of a shape under deformations have long been recognized as a major obstacle to its use in recognition and other applications. These instabilit...
Peter J. Giblin, Benjamin B. Kimia
COCOON
2003
Springer
14 years 3 months ago
On a Conjecture on Wiener Indices in Combinatorial Chemistry
Drugs and other chemical compounds are often modeled as polygonal shapes, where each vertex represents an atom of the molecule, and covalent bonds between atoms are represented by...
Yih-En Andrew Ban, Sergei Bespamyatnikh, Nabil H. ...
BMCBI
2008
96views more  BMCBI 2008»
13 years 10 months ago
Novel methodology for construction and pruning of quasi-median networks
Background: Visualising the evolutionary history of a set of sequences is a challenge for molecular phylogenetics. One approach is to use undirected graphs, such as median network...
Sarah C. Ayling, Terence A. Brown
BMCBI
2006
119views more  BMCBI 2006»
13 years 10 months ago
A methodology for the structural and functional analysis of signaling and regulatory networks
Background: Structural analysis of cellular interaction networks contributes to a deeper understanding of network-wide interdependencies, causal relationships, and basic functiona...
Steffen Klamt, Julio Saez-Rodriguez, Jonathan A. L...