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» Lower Bounds for Lucas Chains
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STOC
2001
ACM
132views Algorithms» more  STOC 2001»
16 years 23 hour 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»
15 years 6 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»
14 years 11 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
98
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CORR
2010
Springer
168views Education» more  CORR 2010»
14 years 9 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»
14 years 11 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