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OLUME 82, NUMBER 15 P H Y S I C A L R E V I E W L E T T E R S 12 APRIL 1999 Small-World Networks: Evidence for a Crossover Picture
 

Summary: V

OLUME 82, NUMBER 15 P H Y S I C A L R E V I E W L E T T E R S 12 APRIL 1999
Small-World Networks: Evidence for a Crossover Picture
Marc Barthélémy* and Lui´s A. Nunes Amaral
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
(
¡
Received 8 December 1998)
¢
Watts and Strogatz [Nature (London) 393
£
,¤ 440 (1998)] have recently introduced a model for
disordered
¥
networks and reported that, even for very small values of the disorder ¦ in the links, the
network behaves as a "small world." Here, we test the hypothesis that the appearance of small-world
behavior
§
is not a phase transition but a crossover phenomenon which depends both on the network size

  

Source: Amaral, Luis A.N. - Department of Chemical and Biological Engineering, Northwestern University

 

Collections: Physics; Biology and Medicine