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CORR
2010
Springer
111views Education» more  CORR 2010»
13 years 5 months ago
Tight Bounds for Mixing of the Swendsen-Wang Algorithm at the Potts Transition Point
We study two widely used algorithms for the Potts model on rectangular subsets of the hypercubic lattice Zd
Christian Borgs, Jennifer T. Chayes, Prasad Tetali
FOCS
2008
IEEE
13 years 11 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon
STOC
2003
ACM
130views Algorithms» more  STOC 2003»
14 years 5 months ago
A tight bound on approximating arbitrary metrics by tree metrics
In this paper, we show that any n point metric space can be embedded into a distribution over dominating tree metrics such that the expected stretch of any edge is O(log n). This ...
Jittat Fakcharoenphol, Satish Rao, Kunal Talwar
JCT
2011
108views more  JCT 2011»
13 years 6 days ago
The number of extreme points of tropical polyhedra
The celebrated upper bound theorem of McMullen determines the maximal number of extreme points of a polyhedron in terms of its dimension and the number of constraints which define...
Xavier Allamigeon, Stéphane Gaubert, Ricard...
ICALP
1994
Springer
13 years 9 months ago
On the Cost of Recomputing: Tight Bounds on Pebbling with Faults
We introduce a formal framework to study the time and space complexity of computing with faulty memory. For the fault-free case, time and space complexities were studied using the...
Yonatan Aumann, Judit Bar-Ilan, Uriel Feige