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» On Bounds for the k-Partitioning of Graphs
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COMGEO
2002
ACM
14 years 9 months ago
Beta-skeletons have unbounded dilation
A fractal construction shows that, for any > 0, the -skeleton of a point set can have arbitrarily large dilation: (nc ), where c is a constant depending on and going to zero ...
David Eppstein
TCOM
2010
109views more  TCOM 2010»
14 years 8 months ago
Results on Finite Wireless Networks on a Line
Abstract— Today, due to the vast amount of literature on largescale wireless networks, we have a fair understanding of the asymptotic behavior of such networks. However, in real ...
Ali Eslami, Mohammad Nekoui, Hossein Pishro-Nik
SIAMDM
2010
87views more  SIAMDM 2010»
14 years 4 months ago
On 3-Hypergraphs with Forbidden 4-Vertex Configurations
Every 3-graph in which no four vertices are independent and no four vertices span precisely three edges must have edge density 4/9(1 - o(1)). This bound is tight. The proof is a r...
Alexander A. Razborov
CORR
2010
Springer
114views Education» more  CORR 2010»
14 years 4 months ago
Counting Unique-Sink Orientations
Unique-sink orientations (USOs) are an abstract class of orientations of the ncube graph. We consider some classes of USOs that are of interest in connection with the linear compl...
Jan Foniok, Bernd Gärtner, Lorenz Klaus, Mark...
INFOCOM
2005
IEEE
15 years 3 months ago
Bounding the power rate function of wireless ad hoc networks
Abstract— Given a wireless ad hoc network and an endto-end traffic pattern, the power rate function refers to the minimum total power required to support different throughput un...
Yunnan Wu, Qian Zhang, Wenwu Zhu, Sun-Yuan Kung