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» The metamathematics of random graphs
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WG
1999
Springer
15 years 10 months ago
Linear Orderings of Random Geometric Graphs
Abstract. In random geometric graphs, vertices are randomly distributed on [0, 1]2 and pairs of vertices are connected by edges whenever they are sufficiently close together. Layou...
Josep Díaz, Mathew D. Penrose, Jordi Petit,...
CPC
2002
95views more  CPC 2002»
15 years 5 months ago
Permutation Pseudographs And Contiguity
The space of permutation pseudographs is a probabilistic model of 2-regular pseudographs on n vertices, where a pseudograph is produced by choosing a permutation of {1, 2, . . . ...
Catherine S. Greenhill, Svante Janson, Jeong Han K...
RSA
2008
94views more  RSA 2008»
15 years 5 months ago
Random mappings with exchangeable in-degrees
In this paper we introduce a new random mapping model, T ^D n , which maps the set {1, 2, ..., n} into itself. The random mapping T ^D n is constructed using a collection of excha...
Jennie C. Hansen, Jerzy Jaworski
CPC
2011
219views Education» more  CPC 2011»
15 years 1 months ago
On Percolation and the Bunkbed Conjecture
We study a problem on edge percolation on product graphs G× K2. Here G is any finite graph and K2 consists of two vertices {0, 1} connected by an edge. Every edge in G × K2 is p...
Svante Linusson
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
15 years 11 months ago
A Geometric Preferential Attachment Model of Networks
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of Gn are n sequentially generated points x1, ...
Abraham Flaxman, Alan M. Frieze, Juan Vera