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APPROX
2004
Springer
135views Algorithms» more  APPROX 2004»
15 years 3 months ago
The Diameter of Randomly Perturbed Digraphs and Some Applications.
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
Abraham Flaxman, Alan M. Frieze
PAMI
2006
141views more  PAMI 2006»
14 years 9 months ago
Diffusion Maps and Coarse-Graining: A Unified Framework for Dimensionality Reduction, Graph Partitioning, and Data Set Parameter
We provide evidence that non-linear dimensionality reduction, clustering and data set parameterization can be solved within one and the same framework. The main idea is to define ...
Stéphane Lafon, Ann B. Lee
STACS
2009
Springer
15 years 4 months ago
Hardness and Algorithms for Rainbow Connectivity
An edge-colored graph G is rainbow connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connectivity of a connected graph G, denoted ...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
ESA
2006
Springer
137views Algorithms» more  ESA 2006»
15 years 1 months ago
Deciding Relaxed Two-Colorability - A Hardness Jump
A coloring is proper if each color class induces connected components of order one (where the order of a graph is its number of vertices). Here we study relaxations of proper two-c...
Robert Berke, Tibor Szabó
TOC
2008
122views more  TOC 2008»
14 years 9 months ago
Derandomizing the Ahlswede-Winter matrix-valued Chernoff bound using pessimistic estimators, and applications
: Ahlswede and Winter [IEEE Trans. Inf. Th. 2002] introduced a Chernoff bound for matrix-valued random variables, which is a non-trivial generalization of the usual Chernoff bound ...
Avi Wigderson, David Xiao