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» Graph embedding using tree edit-union
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SPAA
2004
ACM
14 years 26 days 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
COMPGEOM
2006
ACM
14 years 1 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 8 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos
SODA
2010
ACM
178views Algorithms» more  SODA 2010»
14 years 4 months ago
Tree Embeddings for Two-Edge-Connected Network Design
The group Steiner problem is a classical network design problem where we are given a graph and a collection of groups of vertices, and want to build a min-cost subgraph that conne...
Anupam Gupta, Ravishankar Krishnaswamy, R. Ravi
ISSS
1995
IEEE
100views Hardware» more  ISSS 1995»
13 years 11 months ago
Optimal code generation for embedded memory non-homogeneous register architectures
This paper examines the problem of code-generation for expression trees on non-homogeneous register set architectures. It proposes and proves the optimality of an O(n) algorithm f...
Guido Araujo, Sharad Malik