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The number of connected components and the size of the largest connectedcomponent are studied under node and edge removal in the connectivity graph ofthe C. elegans nervous system. By studying the two subgraphs - the directedgraph of chemical synapses and the undirected graph of electrical junctions -we observe that adding a small number of undirected edges dramatically reducesthe number of components in the complete graph. Under random node and edgeremoval, the C. elegans graph displays a remarkable structural robustness. Wethen compare these results with the vulnerability of a number of canonicalgraph models.

Structual Vulnerability of the Nematode Worm Neural Graph