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» The metamathematics of random graphs
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FSEN
2009
Springer
16 years 1 months ago
The Complexity of Reachability in Randomized Sabotage Games
Abstract. We analyze a model of fault-tolerant systems in a probabilistic setting. The model has been introduced under the name of “sabotage games”. A reachability problem over...
Dominik Klein, Frank G. Radmacher, Wolfgang Thomas
CORR
2008
Springer
143views Education» more  CORR 2008»
15 years 6 months ago
Locally computable approximations for spectral clustering and absorption times of random walks
We address the problem of determining a natural local neighbourhood or "cluster" associated to a given seed vertex in an undirected graph. We formulate the task in terms...
Pekka Orponen, Satu Elisa Schaeffer, Vanesa Avalos...
ALGORITHMICA
1998
73views more  ALGORITHMICA 1998»
15 years 6 months ago
Linear Probing and Graphs
Mallows and Riordan showed in 1968 that labeled trees with a small number of inversions are related to labeled graphs that are connected and sparse. Wright enumerated sparse connec...
Donald E. Knuth
FOCS
2003
IEEE
15 years 11 months ago
Switch Scheduling via Randomized Edge Coloring
The essence of an Internet router is an n ¡ n switch which routes packets from input to output ports. Such a switch can be viewed as a bipartite graph with the input and output p...
Gagan Aggarwal, Rajeev Motwani, Devavrat Shah, An ...
CPC
2010
122views more  CPC 2010»
15 years 6 months ago
The Longest Minimum-Weight Path in a Complete Graph
We consider the minimum-weight path between any pair of nodes of the n-vertex complete graph in which the weights of the edges are i.i.d. exponentially distributed random variable...
Louigi Addario-Berry, Nicolas Broutin, Gábo...