Trading interactions for topology in scale-free networks

C. V. Giuraniuc*, J. P L Hatchett, J. O. Indekeu, M. Leone, I. Pérez Castillo, B. Van Schaeybroeck, C. Vanderzande

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)


Scale-free networks with topology-dependent interactions are studied. It is shown that the universality classes of critical behavior, which conventionally depend only on topology, can also be explored by tuning the interactions. A mapping, γ′=(γ-μ)/(1-μ), describes how a shift of the standard exponent γ of the degree distribution P(q) can absorb the effect of degree-dependent pair interactions Jij(qiqj)-μ. The replica technique, cavity method, and Monte Carlo simulation support the physical picture suggested by Landau theory for the critical exponents and by the Bethe-Peierls approximation for the critical temperature. The equivalence of topology and interaction holds for equilibrium and nonequilibrium systems, and is illustrated with interdisciplinary applications.

Original languageEnglish
Article number098701
Number of pages4
JournalPhysical Review Letters
Issue number9
Publication statusPublished - 26 Aug 2005
Externally publishedYes


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