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GD
2009
Springer
13 years 6 months ago
Algebraic Methods for Counting Euclidean Embeddings of Rigid Graphs
Abstract. The study of (minimally) rigid graphs is motivated by numerous applications, mostly in robotics and bioinformatics. A major open problem concerns the number of embeddings...
Ioannis Z. Emiris, Elias P. Tsigaridas, Antonios V...
PKDD
2009
Springer
120views Data Mining» more  PKDD 2009»
14 years 3 months ago
Variational Graph Embedding for Globally and Locally Consistent Feature Extraction
Existing feature extraction methods explore either global statistical or local geometric information underlying the data. In this paper, we propose a general framework to learn fea...
Shuang-Hong Yang, Hongyuan Zha, Shaohua Kevin Zhou...
SENSYS
2003
ACM
14 years 2 months ago
GEM: graph eMbedding for routing and data-centric storage in sensor networks without geographic information
The widespread deployment of sensor networks is on the horizon. One of the main challenges in sensor networks is to process and aggregate data in the network rather than wasting e...
James Newsome, Dawn Xiaodong Song
COMPGEOM
2010
ACM
14 years 2 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 9 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