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DAM
2011
15 years 1 months ago
Independence in connected graphs
We prove that if G = (VG, EG) is a finite, simple, and undirected graph with κ components and independence number α(G), then there exist a positive integer k ∈ N and a functi...
Jochen Harant, Dieter Rautenbach
FOCS
2002
IEEE
15 years 11 months ago
The Hardness of 3 - Uniform Hypergraph Coloring
We prove that coloring a 3-uniform 2-colorable hypergraph with c colors is NP-hard for any constant c. The best known algorithm [20] colors such a graph using O(n1/5 ) colors. Our...
Irit Dinur, Oded Regev, Clifford D. Smyth
FOCS
2009
IEEE
16 years 1 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
MOBIQUITOUS
2007
IEEE
16 years 26 days ago
Assessing Standard and Inverted Skip Graphs Using Multi-Dimensional Range Queries and Mobile Nodes
—The skip graph, an application-layer data structure for routing and indexing, may be used in a sensor network to facilitate queries of the distributed k-dimensional data collect...
Gregory J. Brault, Christopher J. Augeri, Barry E....
ADHOCNOW
2005
Springer
16 years 4 days ago
Performance Analysis of the Hierarchical Layer Graph for Wireless Networks
The Hierarchical Layer Graph (HL graph) is a promising network topology for wireless networks with variable transmission ranges. It was introduced and analyzed by Meyer auf der He...
Stefan Rührup, Christian Schindelhauer, Klaus...