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DCG
2011
13 years 2 months ago
Random Geometric Complexes
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Matthew Kahle
JCO
2007
56views more  JCO 2007»
13 years 7 months ago
An unexpected meeting of four seemingly unrelated problems: graph testing, DNA complex screening, superimposed codes and secure
This paper discusses the relation among four problems: graph testing, DNA complex screening, superimposed codes and secure key distribution. We prove a surprising equivalence relat...
H. B. Chen, Ding-Zhu Du, Frank K. Hwang
RANDOM
2001
Springer
14 years 4 days ago
Near-optimum Universal Graphs for Graphs with Bounded Degrees
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
Noga Alon, Michael R. Capalbo, Yoshiharu Kohayakaw...
FOCS
2006
IEEE
14 years 1 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
ESA
2001
Springer
132views Algorithms» more  ESA 2001»
14 years 6 days ago
Greedy Algorithms for Minimisation Problems in Random Regular Graphs
In this paper we introduce a general strategy for approximating the solution to minimisation problems in random regular graphs. We describe how the approach can be applied to the m...
Michele Zito