We investigate topologically biased failure in scale-free networks with degree distribution $P(k) \propto k^{-\gamma}$ . The probability $p$ that an edge remains intact is assumed to depend on the degree $k$ of adjacent nodes $i$ and $j$ through $p_{ij} \propto (k_i k_j)^{-\alpha}$ . By varying...

We investigate topologically biased failure in scale-free networks with degree distribution P(k) ∝ k^−γ . The probability p that an edge remains intact is assumed to depend on the degree k of adjacent nodes i and j through p_ij ∝ (k_i k_j)^−α . By varying the exponent α, we interpolate...