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DCG
2011
15 years 16 days 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
119
Voted
JCO
2007
56views more  JCO 2007»
15 years 5 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
15 years 10 months 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
15 years 11 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»
15 years 10 months 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