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ICALP
2001
Springer
15 years 5 months ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
COLT
2004
Springer
15 years 6 months ago
On the Convergence of Spectral Clustering on Random Samples: The Normalized Case
Given a set of n randomly drawn sample points, spectral clustering in its simplest form uses the second eigenvector of the graph Laplacian matrix, constructed on the similarity gra...
Ulrike von Luxburg, Olivier Bousquet, Mikhail Belk...
110
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ISSAC
2004
Springer
106views Mathematics» more  ISSAC 2004»
15 years 6 months ago
Factoring polynomials via polytopes
We introduce a new approach to multivariate polynomial factorisation which incorporates ideas from polyhedral geometry, and generalises Hensel lifting. Our main contribution is to...
Fatima Abu Salem, Shuhong Gao, Alan G. B. Lauder
ALENEX
2007
105views Algorithms» more  ALENEX 2007»
15 years 2 months ago
ScrewBox: a Randomized Certifying Graph-Non-Isomorphism Algorithm
We present a novel randomized approach to the graph isomorphism problem. Our algorithm aims at solving difficult instances by producing randomized certificates for non-isomorphis...
Martin Kutz, Pascal Schweitzer
CORR
2008
Springer
139views Education» more  CORR 2008»
15 years 25 days ago
The Secrecy Graph and Some of its Properties
A new random geometric graph model, the so-called secrecy graph, is introduced and studied. The graph represents a wireless network and includes only edges over which secure commun...
Martin Haenggi