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COMBINATORICA
2008
130views more  COMBINATORICA 2008»
13 years 10 months ago
Two-point concentration in random geometric graphs
A random geometric graph Gn is constructed by taking vertices X1, . . . , Xn Rd at random (i.i.d. according to some probability distribution with a bounded density function) and...
Tobias Müller
COMPGEOM
2010
ACM
14 years 3 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
CORR
2011
Springer
195views Education» more  CORR 2011»
13 years 4 months ago
Simplicial Homology of Random Configurations
Given a Poisson process on a d-dimensional torus, its random geometric simplicial complex is the complex whose vertices are the points of the Poisson process and simplices are give...
Laurent Decreusefond, Eduardo Ferraz, Hugues Randr...
VOSS
2004
Springer
135views Mathematics» more  VOSS 2004»
14 years 3 months ago
Analysing Randomized Distributed Algorithms
Abstract. Randomization is of paramount importance in practical applications and randomized algorithms are used widely, for example in co-ordinating distributed computer networks, ...
Gethin Norman
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
14 years 3 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