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COMPGEOM
1992
ACM
14 years 1 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar
PAMI
2007
154views more  PAMI 2007»
13 years 8 months ago
Graph Embedding and Extensions: A General Framework for Dimensionality Reduction
—Over the past few decades, a large family of algorithms—supervised or unsupervised; stemming from statistics or geometry theory—has been designed to provide different soluti...
Shuicheng Yan, Dong Xu, Benyu Zhang, HongJiang Zha...
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
14 years 21 days ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
SPAA
2004
ACM
14 years 2 months ago
Lower bounds for graph embeddings and combinatorial preconditioners
Given a general graph G, a fundamental problem is to find a spanning tree H that best approximates G by some measure. Often this measure is some combination of the congestion and...
Gary L. Miller, Peter C. Richter
PROCEDIA
2010
344views more  PROCEDIA 2010»
13 years 7 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