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» Distribution of subgraphs of random regular graphs
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STOC
2005
ACM
135views Algorithms» more  STOC 2005»
14 years 8 months ago
On the bias of traceroute sampling: or, power-law degree distributions in regular graphs
Understanding the graph structure of the Internet is a crucial step for building accurate network models and designing efficient algorithms for Internet applications. Yet, obtaini...
Dimitris Achlioptas, Aaron Clauset, David Kempe, C...
ATAL
2007
Springer
14 years 1 months ago
Emergence of global network property based on multi-agent voting model
Recent studies have shown that various models can explain the emergence of complex networks, such as scale-free and small-world networks. This paper presents a different model to...
Kousuke Shinoda, Yutaka Matsuo, Hideyuki Nakashima
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...
SODA
2008
ACM
105views Algorithms» more  SODA 2008»
13 years 9 months ago
Deterministic random walks on regular trees
Jim Propp's rotor router model is a deterministic analogue of a random walk on a graph. Instead of distributing chips randomly, each vertex serves its neighbors in a fixed or...
Joshua N. Cooper, Benjamin Doerr, Tobias Friedrich...
FOCS
2008
IEEE
14 years 2 months ago
k-Wise Independent Random Graphs
We study the k-wise independent relaxation of the usual model G(N, p) of random graphs where, as in this model, N labeled vertices are fixed and each edge is drawn with probabili...
Noga Alon, Asaf Nussboim