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DIALM
2008
ACM
179views Algorithms» more  DIALM 2008»
13 years 10 months ago
Distance graphs: from random geometric graphs to Bernoulli graphs and between
A random geometric graph G(n, r) is a graph resulting from placing n points uniformly at random on the unit area disk, and connecting two points iff their Euclidean distance is at ...
Chen Avin
CORR
2010
Springer
158views Education» more  CORR 2010»
13 years 5 months ago
Counting in Graph Covers: A Combinatorial Characterization of the Bethe Entropy Function
We present a combinatorial characterization of the Bethe entropy function of a factor graph, such a characterization being in contrast to the original, analytical, definition of th...
Pascal O. Vontobel
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
14 years 1 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
WAW
2010
Springer
312views Algorithms» more  WAW 2010»
13 years 6 months ago
The Geometric Protean Model for On-Line Social Networks
We introduce a new geometric, rank-based model for the link structure of on-line social networks (OSNs). In the geo-protean (GEO-P) model for OSNs nodes are identified with points ...
Anthony Bonato, Jeannette Janssen, Pawel Pralat
SIAMCOMP
1998
92views more  SIAMCOMP 1998»
13 years 8 months ago
Surface Approximation and Geometric Partitions
Motivated by applications in computer graphics, visualization, and scienti c computation, we study the computational complexity of the following problem: Given a set S of n points...
Pankaj K. Agarwal, Subhash Suri