Abstract
We study the effect of random removal of edges on the average path length (APL) in a large class of uncorrelated random networks in which vertices are characterized by hidden variables controlling the attachment of edges between pairs of vertices. A formula for approximating the APL of networks suffering random edge removal is derived first. Then, the formula is confirmed by simulations for classical ER (Erdös and Rényi) random graphs, BA (Barabási and Albert) networks, networks with exponential degree distributions as well as random networks with asymptotic power-law degree distributions with exponent α > 2.
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