Stationary random graphs on with prescribed iid degrees and finite mean connections.
Deijfen, Maria, Jonasson, Johan (2006)
Electronic Communications in Probability [electronic only]
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Deijfen, Maria, Jonasson, Johan (2006)
Electronic Communications in Probability [electronic only]
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Bloznelis, Mindaugas (2010)
The Electronic Journal of Combinatorics [electronic only]
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Lagerås, Andreas N., Lindholm, Mathias (2008)
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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Alexander E. Holroyd, Robin Pemantle, Yuval Peres, Oded Schramm (2009)
Annales de l'I.H.P. Probabilités et statistiques
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Suppose that red and blue points occur as independent homogeneous Poisson processes in ℝ. We investigate translation-invariant schemes for perfectly matching the red points to the blue points. For any such scheme in dimensions =1, 2, the matching distance from a typical point to its partner must have infinite /2th moment, while in dimensions ≥3 there exist schemes where has finite exponential moments. The Gale–Shapley stable marriage is one natural matching scheme, obtained by iteratively...
Behrisch, Michael (2007)
The Electronic Journal of Combinatorics [electronic only]
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Janson, Svante (2009)
Electronic Journal of Probability [electronic only]
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P. A. Ferrari, C. Landim, H. Thorisson (2004)
Annales de l'I.H.P. Probabilités et statistiques
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Wojciech Kordecki (1996)
Discussiones Mathematicae Graph Theory
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The asymptotic distributions of the number of vertices of a given degree in random graphs, where the probabilities of edges may not be the same, are given. Using the method of Poisson convergence, distributions in a general and particular cases (complete, almost regular and bipartite graphs) are obtained.
Shang, Yilun (2010)
The Electronic Journal of Combinatorics [electronic only]
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Wästlund, Johan (2008)
Electronic Communications in Probability [electronic only]
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