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FOCS
2003
IEEE
15 years 2 months ago
A Non-Markovian Coupling for Randomly Sampling Colorings
We study a simple Markov chain, known as the Glauber dynamics, for randomly sampling (proper) k-colorings of an input graph G on n vertices with maximum degree ∆ and girth g. We...
Thomas P. Hayes, Eric Vigoda
FOCS
2003
IEEE
15 years 2 months ago
On Certain Connectivity Properties of the Internet Topology
We show that random graphs in the preferential connectivity model have constant conductance, and hence have worst-case routing congestion that scales logarithmically with the numb...
Milena Mihail, Christos H. Papadimitriou, Amin Sab...
FOCS
2003
IEEE
15 years 2 months ago
Instability of FIFO at Arbitrarily Low Rates in the Adversarial Queueing Model
We study the stability of the commonly used packet forwarding protocol, FIFO (First In First Out), in the adversarial queueing model. We prove that FIFO can become unstable, i.e.,...
Rajat Bhattacharjee, Ashish Goel
FOCS
2003
IEEE
15 years 2 months ago
The Complexity of Homomorphism and Constraint Satisfaction Problems Seen from the Other Side
We give a complexity theoretic classification of homomorphism problems for graphs and, more generally, relational structures obtained by restricting the left hand side structure ...
Martin Grohe
FOCS
2003
IEEE
15 years 2 months ago
On Worst-Case to Average-Case Reductions for NP Problems
We show that if an NP-complete problem has a non-adaptive self-corrector with respect to a samplable distribution then coNP is contained in NP/poly and the polynomial hierarchy co...
Andrej Bogdanov, Luca Trevisan