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SIAMCOMP
2010
174views more  SIAMCOMP 2010»
13 years 3 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 3 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 3 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 3 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 3 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 3 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