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Electronic Colloquium on Computational Complexity

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All reports by Author Leslie Ann Goldberg:

TR06-005 | 13th December 2005
Edith Elkind, Leslie Ann Goldberg, Paul Goldberg

Nash Equilibria in Graphical Games on Trees Revisited

Graphical games have been proposed as a game-theoretic model of large-scale
distributed networks of non-cooperative agents. When the number of players is
large, and the underlying graph has low degree, they provide a concise way to
represent the players' payoffs. It has recently been shown that the problem of
finding ... more >>>

TR05-121 | 17th October 2005
Martin Dyer, Leslie Ann Goldberg, Michael S. Paterson

On counting homomorphisms to directed acyclic graphs

We give a dichotomy theorem for the problem of counting homomorphisms to
directed acyclic graphs. $H$ is a fixed directed acyclic graph.
The problem is, given an input digraph $G$, how many homomorphisms are there
from $G$ to $H$. We give a graph-theoretic classification, showing that
for some digraphs $H$, ... more >>>

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 >>>

ISSN 1433-8092 | Imprint