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SIAMCOMP
2010
174views more  SIAMCOMP 2010»
13 years 10 months ago
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity o...
Kousha Etessami, Mihalis Yannakakis
SIAMCOMP
2010
133views more  SIAMCOMP 2010»
13 years 10 months ago
Faster Algorithms for All-pairs Approximate Shortest Paths in Undirected Graphs
Let G = (V, E) be a weighted undirected graph having non-negative edge weights. An estimate ˆδ(u, v) of the actual distance δ(u, v) between u, v ∈ V is said to be of stretch t...
Surender Baswana, Telikepalli Kavitha
SIAMCOMP
2010
120views more  SIAMCOMP 2010»
13 years 10 months ago
Edge Disjoint Paths in Moderately Connected Graphs
Abstract. We study the Edge Disjoint Paths (EDP) problem in undirected graphs: Given a graph G with n nodes and a set T of pairs of terminals, connect as many terminal pairs as pos...
Satish Rao, Shuheng Zhou
SIAMCOMP
2010
97views more  SIAMCOMP 2010»
13 years 10 months ago
Designing Network Protocols for Good Equilibria
Designing and deploying a network protocol determines the rules by which end users interact with each other and with the network. We consider the problem of designing a protocol t...
Ho-Lin Chen, Tim Roughgarden, Gregory Valiant
SIAMCOMP
2010
147views more  SIAMCOMP 2010»
13 years 10 months ago
Uniform Direct Product Theorems: Simplified, Optimized, and Derandomized
The classical direct product theorem for circuits says that if a Boolean function f : {0, 1}n → {0, 1} is somewhat hard to compute on average by small circuits, then the correspo...
Russell Impagliazzo, Ragesh Jaiswal, Valentine Kab...
SIAMCOMP
2010
100views more  SIAMCOMP 2010»
13 years 10 months ago
Algorithmic Enumeration of Ideal Classes for Quaternion Orders
We provide algorithms to count and enumerate representatives of the (right) ideal classes of an Eichler order in a quaternion algebra defined over a number field. We analyze the ...
Markus Kirschmer, John Voight