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COMPGEOM
2010
ACM
14 years 1 months ago
Output-sensitive algorithm for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n cellularly embedded in a surface (orientable or not) of genus g. We describe improved algorithms to compute (the length of) a shortest...
Sergio Cabello, Éric Colin de Verdiè...
STOC
2004
ACM
88views Algorithms» more  STOC 2004»
14 years 8 months ago
Expander flows, geometric embeddings and graph partitioning
We give a O( log n)-approximation algorithm for sparsest cut, edge expansion, balanced separator, and graph conductance problems. This improves the O(log n)-approximation of Leig...
Sanjeev Arora, Satish Rao, Umesh V. Vazirani
CVPR
2005
IEEE
14 years 10 months ago
Graph Embedding: A General Framework for Dimensionality Reduction
In the last decades, a large family of algorithms supervised or unsupervised; stemming from statistic or geometry theory have been proposed to provide different solutions to the p...
Shuicheng Yan, Dong Xu, Benyu Zhang, HongJiang Zha...
DM
1998
94views more  DM 1998»
13 years 7 months ago
On embedding complete graphs into hypercubes
An embedding of Kn into a hypercube is a mapping of the n vertices of Kn to distinct vertices of the hypercube, and the associated cost is the sum over all pairs of (mapped) verti...
Michael Klugerman, Alexander Russell, Ravi Sundara...
GD
2009
Springer
14 years 21 days ago
Manhattan-Geodesic Embedding of Planar Graphs
In this paper, we explore a new convention for drawing graphs, the (Manhattan-) geodesic drawing convention. It requires that edges are drawn as interior-disjoint monotone chains o...
Bastian Katz, Marcus Krug, Ignaz Rutter, Alexander...