Connectivity (graph theory)

This graph becomes disconnected when the right-most node in the gray area on the left is removed
This graph becomes disconnected when the dashed edge is removed.

In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need to be removed to separate the remaining nodes into two or more isolated subgraphs.[1] It is closely related to the theory of network flow problems. The connectivity of a graph is an important measure of its resilience as a network.

  1. ^ Cite error: The named reference diestel was invoked but never defined (see the help page).