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COCOON
2007
Springer
15 years 4 months ago
Improved Exact Algorithms for Counting 3- and 4-Colorings
Abstract. We introduce a generic algorithmic technique and apply it on decision and counting versions of graph coloring. Our approach is based on the following idea: either a graph...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh
125
Voted
PPOPP
2006
ACM
15 years 6 months ago
On-line automated performance diagnosis on thousands of processes
Performance analysis tools are critical for the effective use of large parallel computing resources, but existing tools have failed to address three problems that limit their scal...
Philip C. Roth, Barton P. Miller
WADS
1993
Springer
110views Algorithms» more  WADS 1993»
15 years 4 months ago
A Dynamic Separator Algorithm
Our work is based on the pioneering work in sphere separators done by Miller, Teng, Vavasis et al, [8, 12], who gave efficient static (fixed input) algorithms for finding sphere ...
Deganit Armon, John H. Reif
104
Voted
SODA
2008
ACM
135views Algorithms» more  SODA 2008»
15 years 2 months ago
Rapid mixing of Gibbs sampling on graphs that are sparse on average
Gibbs sampling also known as Glauber dynamics is a popular technique for sampling high dimensional distributions defined on graphs. Of special interest is the behavior of Gibbs sa...
Elchanan Mossel, Allan Sly
DMTCS
2006
66views Mathematics» more  DMTCS 2006»
15 years 25 days ago
On randomly colouring locally sparse graphs
We consider the problem of generating a random q-colouring of a graph G = (V, E). We consider the simple Glauber Dynamics chain. We show that if for all v V the average degree of...
Alan M. Frieze, Juan Vera