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JCT
2010
114views more  JCT 2010»
14 years 7 months ago
An almost quadratic bound on vertex Folkman numbers
The vertex Folkman number F(r, n, m), n < m, is the smallest integer t such that there exists a Km-free graph of order t with the property that every r-coloring of its vertices...
Andrzej Dudek, Vojtech Rödl
TIT
2011
131views more  TIT 2011»
14 years 4 months ago
On the Hardness of Approximating the Network Coding Capacity
Abstract—This work addresses the computational complexity of achieving the capacity of a general network coding instance. We focus on the linear capacity, namely the capacity of ...
Michael Langberg, Alexander Sprintson
GLOBECOM
2008
IEEE
15 years 3 months ago
Multi-Cluster Multi-Parent Wake-Up Scheduling in Delay-Sensitive Wireless Sensor Networks
—Immediate notification of urgent but rare events and delivery of time sensitive actuation commands appear in many practical wireless sensor and actuator network applications. M...
Huang Lee, Abtin Keshavarzian, Hamid K. Aghajan
FOCS
2007
IEEE
15 years 3 months ago
Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting
We present a near-optimal reduction from approximately counting the cardinality of a discrete set to approximately sampling elements of the set. An important application of our wo...
Daniel Stefankovic, Santosh Vempala, Eric Vigoda
JCSS
2000
121views more  JCSS 2000»
14 years 9 months ago
The Closure of Monadic NP
It is a well-known result of Fagin that the complexity class NP coincides with the class of problems expressible in existential second-order logic ( 1 1), which allows sentences c...
Miklós Ajtai, Ronald Fagin, Larry J. Stockm...