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COMPLEX
2009
Springer
16 years 1 months ago
Synchronization Stability of Coupled Near-Identical Oscillator Network
We derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. To study the effect of parameter mismatch on the stability in a ...
Jie Sun, Erik M. Bollt, Takashi Nishikawa
STACS
2005
Springer
16 years 5 days ago
Information Theory in Property Testing and Monotonicity Testing in Higher Dimension
In property testing, we are given oracle access to a function f, and we wish to test if the function satisfies a given property P, or it is ε-far from having that property. In a...
Nir Ailon, Bernard Chazelle
FOCS
2002
IEEE
15 years 11 months ago
Graph Isomorphism is in SPP
We show that Graph Isomorphism is in the complexity class SPP, and hence it is in ⊕P (in fact, it is in ModkP for each k ≥ 2). We derive this result as a corollary of a more g...
Vikraman Arvind, Piyush P. Kurur
COMPLEX
2009
Springer
15 years 10 months ago
Community Identification in Directed Networks
The most common approach to community identification of directed networks has been to ignore edge directions and apply methods developed for undirected networks. Recently, Leicht a...
Youngdo Kim, Seung-Woo Son, Hawoong Jeong
FOCS
2008
IEEE
15 years 6 months ago
Hardness of Nearest Neighbor under L-infinity
Recent years have seen a significant increase in our understanding of high-dimensional nearest neighbor search (NNS) for distances like the 1 and 2 norms. By contrast, our underst...
Alexandr Andoni, Dorian Croitoru, Mihai Patrascu