We introduce and simulate a growth model of the world-wide Web based on the
dynamics of outgoing links that is motivated by the conduct of the agents in
the real Web to update outgoing links (re)directing them towards constantly
changing selected nodes. Emergent statistical correlation between the
distributions of outgoing and incoming links is a key feature of the dynamics
of the Web. The growth phase is characterized by temporal fractal structures
which are manifested in the hierarchical organization of links. We obtain
quantitative agreement with the recent empirical data in the real Web for the
distributions of in- and out-links and for the size of connected component. In
a fully grown network of N nodes we study the structure of connected clusters
of nodes that are accessible along outgoing links from a randomly selected
node. The distributions of size and depth of the connected clusters with a
giant component exhibit supercritical behavior. By decreasing the control
parameter---average fraction β of updated and added links per time
step---towards βc(N)<10 the Web can resume a critical structure with
no giant component in it. We find a different universality class when the
updates of links are not allowed, i.e., for β≡0, corresponding to
the network of science citations.Comment: Revtex, 4 PostScript figures, small changes in the tex