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Electronic Colloquium on Computational Complexity

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TR05-075 | 4th July 2005
Martin Dyer, Leslie Ann Goldberg, Mark Jerrum

Dobrushin conditions and Systematic Scan

Revisions: 1

We consider Glauber dynamics on finite spin systems.
The mixing time of Glauber dynamics can be bounded
in terms of the influences of sites on each other.
We consider three parameters bounding these influences ---
$\alpha$, the total influence on a site, as studied by Dobrushin;
$\alpha'$, the total influence ... more >>>


TR05-074 | 8th June 2005
Li-Sha Huang, Xiaotie Deng

On Complexity of Market Equilibria with Maximum Social Welfare

We consider the computational complexity of the market equilibrium
problem by exploring the structural properties of the Leontief
exchange economy. We prove that, for economies guaranteed to have
a market equilibrium, finding one with maximum social welfare or
maximum individual welfare is NP-hard. In addition, we prove that
counting the ... more >>>


TR05-073 | 14th July 2005
Oded Goldreich, Dana Ron

Approximating Average Parameters of Graphs.


Inspired by Feige ({\em 36th STOC}, 2004),
we initiate a study of sublinear randomized algorithms
for approximating average parameters of a graph.
Specifically, we consider the average degree of a graph
and the average distance between pairs of vertices in a graph.
Since our focus is on sublinear algorithms, ... more >>>



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