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» Packing vertices and edges in random regular graphs
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ICALP
2009
Springer
15 years 10 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
77
Voted
RSA
2010
99views more  RSA 2010»
14 years 8 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
76
Voted
FOCS
2002
IEEE
15 years 2 months 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»
14 years 9 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»
14 years 8 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...