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» Graph embedding using tree edit-union
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SPAA
2004
ACM
13 years 10 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
COMPGEOM
2006
ACM
13 years 11 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 5 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 2 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 8 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