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» On Bounds for the k-Partitioning of Graphs
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IMA
2001
Springer
80views Cryptology» more  IMA 2001»
15 years 2 months ago
Spectrally Bounded Sequences, Codes, and States: Graph Constructions and Entanglement
A recursive construction is provided for sequence sets which possess good Hamming Distance and low Peak-to-Average Power Ratio (PAR) under any Local Unitary Unimodular Transform. W...
Matthew G. Parker
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
15 years 4 months ago
Inapproximability of Vertex Cover and Independent Set in Bounded Degree Graphs
We study the inapproximability of Vertex Cover and Independent Set on degree d graphs. We prove that: • Vertex Cover is Unique Games-hard to approximate to within a factor 2−(...
Per Austrin, Subhash Khot, Muli Safra
FOCS
2006
IEEE
15 years 4 months ago
Lower Bounds for Additive Spanners, Emulators, and More
An additive spanner of an unweighted undirected graph G with distortion d is a subgraph H such that for any two vertices u, v ∈ G, we have δH(u, v) ≤ δG(u, v) + d. For every...
David P. Woodruff
WINE
2009
Springer
83views Economy» more  WINE 2009»
15 years 4 months ago
The Stackelberg Minimum Spanning Tree Game on Planar and Bounded-Treewidth Graphs
Jean Cardinal, Erik D. Demaine, Samuel Fiorini, Gw...