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» Packing vertices and edges in random regular graphs
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ICALP
2009
Springer
14 years 8 months ago
Algorithms for Secretary Problems on Graphs and Hypergraphs
We examine several online matching problems, with applications to Internet advertising reservation systems. Consider an edge-weighted bipartite graph G, with partite sets L, R. We...
Martin Pál, Nitish Korula
RSA
2010
99views more  RSA 2010»
13 years 6 months ago
Hamiltonicity thresholds in Achlioptas processes
In this paper we analyze the appearance of a Hamilton cycle in the following random process. The process starts with an empty graph on n labeled vertices. At each round we are pre...
Michael Krivelevich, Eyal Lubetzky, Benny Sudakov
FOCS
2002
IEEE
14 years 18 days ago
Learning a Hidden Matching
We consider the problem of learning a matching (i.e., a graph in which all vertices have degree 0 or 1) in a model where the only allowed operation is to query whether a set of ve...
Noga Alon, Richard Beigel, Simon Kasif, Steven Rud...
COMBINATORICA
2007
119views more  COMBINATORICA 2007»
13 years 7 months ago
Complete partitions of graphs
A complete partition of a graph G is a partition of its vertex set in which any two distinct classes are connected by an edge. Let cp(G) denote the maximum number of classes in a ...
Magnús M. Halldórsson, Guy Kortsarz,...
RSA
2010
91views more  RSA 2010»
13 years 6 months ago
The second largest component in the supercritical 2D Hamming graph
The 2-dimensional Hamming graph H(2, n) consists of the n2 vertices (i, j), 1 ≤ i, j ≤ n, two vertices being adjacent when they share a common coordinate. We examine random sub...
Remco van der Hofstad, Malwina J. Luczak, Joel Spe...