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Cain, Julie, Wormald, Nicholas (2006)
The Electronic Journal of Combinatorics [electronic only]
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Cain, Julie, Wormald, Nicholas (2006)
The Electronic Journal of Combinatorics [electronic only]
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Grimmett, Geoffrey, Janson, Svante (2009)
The Electronic Journal of Combinatorics [electronic only]
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Rybarczyk, Katarzyna (2011)
The Electronic Journal of Combinatorics [electronic only]
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Beer, Elizabeth, Fill, James Allen, Janson, Svante, Scheinerman, Edward R. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Amini, Hamed (2010)
The Electronic Journal of Combinatorics [electronic only]
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Eckhoff, Maren, Rolles, Silke W.W. (2009)
Electronic Communications in Probability [electronic only]
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Janson, Svante (2009)
Electronic Communications in Probability [electronic only]
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Alessandro Berarducci, Pietro Majer, Matteo Novaga (2012)
Fundamenta Mathematicae
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We study the thresholds for the emergence of various properties in random subgraphs of (ℕ, <). In particular, we give sharp sufficient conditions for the existence of (finite or infinite) cliques and paths in a random subgraph. No specific assumption on the probability is made. The main tools are a topological version of Ramsey theory, exchangeability theory and elementary ergodic theory.
Zhang, Hu-Ming, Taylor, Robert L. (1995)
International Journal of Mathematics and Mathematical Sciences
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Karin Mahrhold, Karl F. E. Weber (1989)
Commentationes Mathematicae Universitatis Carolinae
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Janson, Svante (2009)
Electronic Journal of Probability [electronic only]
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