Connectivity studies the existence of paths between vertices of a graph and the persistence of paths after vertex or edge deletions. A connected graph is the basic case in which every pair of vertices is linked by a path.
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In graph theory, **connectivity** refers to the degree to which the vertices (or nodes) of a graph are connected to each other. It provides insights into the structure of the graph and how robust or fragile it is in terms of the connectivity between its components. There are several key concepts related to connectivity: 1. **Connected Graph**: A graph is said to be connected if there is a path between every pair of vertices in the graph.