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» The degree sequences and spectra of scale-free random graphs
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JSYML
2007
66views more  JSYML 2007»
13 years 7 months ago
Spectra of structures and relations
We consider embeddings of structures which preserve spectra: if g : M → S with S computable, then M should have the same Turing degree spectrum (as a structure) that g(M) has (a...
Valentina S. Harizanov, Russel G. Miller
ALENEX
2003
137views Algorithms» more  ALENEX 2003»
13 years 8 months ago
The Markov Chain Simulation Method for Generating Connected Power Law Random Graphs
Graph models for real-world complex networks such as the Internet, the WWW and biological networks are necessary for analytic and simulation-based studies of network protocols, al...
Christos Gkantsidis, Milena Mihail, Ellen W. Zegur...
SODA
1997
ACM
95views Algorithms» more  SODA 1997»
13 years 8 months ago
Randomly Sampling Molecules
We give a polynomial-time algorithm for the following problem: Given a degree sequence in which each degree is bounded from above by a constant, select, uniformly at random, an un...
Leslie Ann Goldberg, Mark Jerrum
IM
2006
13 years 7 months ago
Protean Graphs
We propose a new random model of web graphs in which the degree of a vertex depends on its age. We characterize the degree sequence of this model and study its behaviour near the c...
Tomasz Luczak, Pawel Pralat
RSA
2010
108views more  RSA 2010»
13 years 5 months ago
Resolvent of large random graphs
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
Charles Bordenave, Marc Lelarge