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» Lower Bounds for Lucas Chains
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STOC
2001
ACM
132views Algorithms» more  STOC 2001»
14 years 7 months ago
Edge isoperimetry and rapid mixing on matroids and geometric Markov chains
We show how to bound the mixing time and log-Sobolev constants of Markov chains by bounding the edge-isoperimetry of their underlying graphs. To do this we use two recent techniqu...
Ravi Montenegro, Jung-Bae Son
COCO
2007
Springer
107views Algorithms» more  COCO 2007»
14 years 1 months ago
A Linear Round Lower Bound for Lovasz-Schrijver SDP Relaxations of Vertex Cover
We study semidefinite programming relaxations of Vertex Cover arising from repeated applications of the LS+ “lift-and-project” method of Lovasz and Schrijver starting from th...
Grant Schoenebeck, Luca Trevisan, Madhur Tulsiani
JCO
2008
84views more  JCO 2008»
13 years 7 months ago
Partitioning a weighted partial order
The problem of partitioning a partially ordered set into a minimum number of chains is a well-known problem. In this paper we study a generalization of this problem, where we not ...
Linda S. Moonen, Frits C. R. Spieksma
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 4 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...
EOR
2007
102views more  EOR 2007»
13 years 7 months ago
Sub-stochastic matrix analysis for bounds computation - Theoretical results
Performance evaluation of complex systems is a critical issue and bounds computation provides confidence about service quality, reliability, etc. of such systems. The stochastic ...
Serge Haddad, Patrice Moreaux