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19972026
most citedEfficient Behavior of Small-World Networks

5.1k citations

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Showing 2007 · cond-mat.dis-nnShow all

7 papers · 2 filters

cond-mat.dis-nn2007★ 7 cited

Answer to Comment on "Ultrametricity in the Edwards-Anderson Model" arXiv:0709.0894

Pierluigi Contucci, Cristian Giardinà, Claudio Giberti +2

This reply shows that the argument presented in the comment by Jorg and Krzakala (cond mat 0709.0894) cannot be used to weaken the results presented in our paper on ultrametricity…

cond-mat.dis-nn2007★ 44 cited

Potts Glass on Random Graphs

Florent Krzakala, Lenka Zdeborová

We solve the q-state Potts model with anti-ferromagnetic interactions on large random lattices of finite coordination. Due to the frustration induced by the large loops and to the…

cond-mat.dis-nn2007★ 22 cited

Network of inherent structures in spin glasses: scaling and scale-free distributions

Z. Burda, A. Krzywicki, O. C. Martin

The local minima (inherent structures) of a system and their associated transition links give rise to a network. Here we consider the topological and distance properties of such a…

cond-mat.dis-nn2007★ 14 cited

Entropic Effects in the Very Low Temperature Regime of Diluted Ising Spin Glasses with Discrete Couplings

Thomas Jorg, Federico Ricci-Tersenghi

We study link-diluted Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously com…

cond-mat.dis-nn2007★ 6 cited

Al'tshuler-Aronov correction to the conductivity of a large metallic square network

Christophe Texier, Gilles Montambaux

We consider the correction due to electron-electron interaction to the conductivity of a weakly disordered metal (Al'tshuler-Aronov correction). The correction is…

cond-mat.dis-nn2007★ 5 cited

Magnetic exponents of two-dimensional Ising spin glasses

F. Liers, O. C. Martin

The magnetic critical properties of two-dimensional Ising spin glasses are controversial. Using exact ground state determination, we extract the properties of clusters flipped when…