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» Mixed volume techniques for embeddings of Laman graphs
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COMGEO
2010
ACM
13 years 7 months ago
Mixed volume techniques for embeddings of Laman graphs
We use Bernstein's Theorem [1] to obtain combinatorial bounds for the number of embeddings of Laman graph frameworks modulo rigid motions. For this, we study the mixed volume...
Reinhard Steffens, Thorsten Theobald
GD
2009
Springer
13 years 5 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...
PROCEDIA
2010
344views more  PROCEDIA 2010»
13 years 5 months ago
Towards high-quality, untangled meshes via a force-directed graph embedding approach
High quality meshes are crucial for the solution of partial differential equations (PDEs) via the finite element method (or other PDE solvers). The accuracy of the PDE solution,...
Sanjukta Bhowmick, Suzanne M. Shontz
FOCS
2006
IEEE
14 years 1 months ago
A Local Switch Markov Chain on Given Degree Graphs with Application in Connectivity of Peer-to-Peer Networks
We study a switch Markov chain on regular graphs, where switches are allowed only between links that are at distance 3; we call this the Flip. The motivation for studying the Flip...
Tomás Feder, Adam Guetz, Milena Mihail, Ami...
EDBT
2006
ACM
266views Database» more  EDBT 2006»
14 years 7 months ago
From Analysis to Interactive Exploration: Building Visual Hierarchies from OLAP Cubes
We present a novel framework for comprehensive exploration of OLAP data by means of user-defined dynamic hierarchical visualizations. The multidimensional data model behind the OLA...
Svetlana Vinnik, Florian Mansmann