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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 23 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 1 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...
DM
2008
97views more  DM 2008»
15 years 6 months ago
(r, r+1)-factorizations of (d, d+1)-graphs
A (d, d + 1)-graph is a graph whose vertices all have degrees in the set {d, d + 1}. Such a graph is semiregular. An (r, r + 1)-factorization of a graph G is a decomposition of G ...
Anthony J. W. Hilton