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» Generating Labeled Planar Graphs Uniformly at Random
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IJAC
2008
97views more  IJAC 2008»
13 years 11 months ago
Random Generation of Finitely Generated Subgroups of a Free Group
We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertic...
Frédérique Bassino, Cyril Nicaud, Pa...
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
14 years 4 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
CORR
2011
Springer
202views Education» more  CORR 2011»
13 years 5 months ago
High Degree Vertices, Eigenvalues and Diameter of Random Apollonian Networks
ABSTRACT. Upon the discovery of power laws [8, 16, 30], a large body of work in complex network analysis has focused on developing generative models of graphs which mimick real-wor...
Alan M. Frieze, Charalampos E. Tsourakakis
ICST
2010
IEEE
13 years 9 months ago
Generating Transition Probabilities for Automatic Model-Based Test Generation
—Markov chains with Labelled Transitions can be used to generate test cases in a model-based approach. These test cases are generated by random walks on the model according to pr...
Abderrahmane Feliachi, Hélène Le Gue...
COMBINATORICS
2000
114views more  COMBINATORICS 2000»
13 years 10 months ago
Trees and Matchings
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on ...
Richard Kenyon, James Gary Propp, David Bruce Wils...