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» Unicyclic Components in Random Graphs
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LATIN
2004
Springer
14 years 29 days ago
Embracing the Giant Component
Consider a game in which edges of a graph are provided a pair at a time, and the player selects one edge from each pair, attempting to construct a graph with a component as large ...
Abraham Flaxman, David Gamarnik, Gregory B. Sorkin
RSA
2010
91views more  RSA 2010»
13 years 6 months ago
The second largest component in the supercritical 2D Hamming graph
The 2-dimensional Hamming graph H(2, n) consists of the n2 vertices (i, j), 1 ≤ i, j ≤ n, two vertices being adjacent when they share a common coordinate. We examine random sub...
Remco van der Hofstad, Malwina J. Luczak, Joel Spe...
ICALP
2003
Springer
14 years 24 days ago
Generating Labeled Planar Graphs Uniformly at Random
Abstract. We present an expected polynomial time algorithm to generate a labeled planar graph uniformly at random. To generate the planar graphs, we derive recurrence formulas that...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
RSA
2011
124views more  RSA 2011»
13 years 2 months ago
Sparse random graphs with clustering
In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edge...
Béla Bollobás, Svante Janson, Oliver...
ECML
2004
Springer
14 years 1 months ago
The Principal Components Analysis of a Graph, and Its Relationships to Spectral Clustering
This work presents a novel procedure for computing (1) distances between nodes of a weighted, undirected, graph, called the Euclidean Commute Time Distance (ECTD), and (2) a subspa...
Marco Saerens, François Fouss, Luh Yen, Pie...