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COMBINATORICA
2007
119views more  COMBINATORICA 2007»
13 years 8 months ago
Complete partitions of graphs
A complete partition of a graph G is a partition of its vertex set in which any two distinct classes are connected by an edge. Let cp(G) denote the maximum number of classes in a ...
Magnús M. Halldórsson, Guy Kortsarz,...
ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
13 years 8 months ago
Quantum Separation of Local Search and Fixed Point Computation
In this paper, we give a lower bound of (n(d-1)/2 ) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [1 : n]d . Our bound is near...
Xi Chen, Xiaoming Sun, Shang-Hua Teng
CRYPTO
2008
Springer
84views Cryptology» more  CRYPTO 2008»
13 years 10 months ago
Improved Bounds on Security Reductions for Discrete Log Based Signatures
Despite considerable research efforts, no efficient reduction from the discrete log problem to forging a discrete log based signature (e.g. Schnorr) is currently known. In fact, ne...
Sanjam Garg, Raghav Bhaskar, Satyanarayana V. Loka...
CDC
2008
IEEE
126views Control Systems» more  CDC 2008»
14 years 3 months ago
Rendezvous under noisy measurements
— We describe a distributed algorithm for solving the rendezvous problem based on consensus protocols. We extend our previous work by considering the case when the evolution of t...
Carlos H. Caicedo-Nunez, Milos Zefran
SPAA
1993
ACM
14 years 17 days ago
Optimal Parallel Construction of Hamiltonian Cycles and Spanning Trees in Random Graphs
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...
Philip D. MacKenzie, Quentin F. Stout