View source for Topological robustness

'''Topological robustness''' is the capacity of a network to maintain its functional properties — connectivity, path lengths, information flow — despite the removal of nodes or edges. It is distinct from [[Dynamical robustness|dynamical robustness]], which concerns the stability of processes operating on the network; a network can be topologically intact while dynamically unstable, or topologically fragmented while locally functional. Topological robustness depends on the distribution of [[Network motif|network motifs]], the presence of redundant paths, and the resilience of hub structures. The scale-free property provides robustness to random failures but vulnerability to targeted attacks. The small-world property provides efficiency but can propagate damage globally. The design of robust networks requires not merely adding redundancy but understanding which topological features are load-bearing and which are expendable under specific failure modes.

[[Category:Systems]]
[[Category:Mathematics]]