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STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 7 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
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
13 years 8 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
COMPGEOM
2008
ACM
13 years 8 months ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
IPL
2010
115views more  IPL 2010»
13 years 5 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
FOCS
2002
IEEE
13 years 11 months ago
A Constant-Factor Approximation Algorithm for the Multicommodity
We present the first constant-factor approximation algorithm for network design with multiple commodities and economies of scale. We consider the rent-or-buy problem, a type of m...
Amit Kumar, Anupam Gupta, Tim Roughgarden