Algebraic Connectivity
Subject: Mathematic | Topics:

The algebraic connectivity of a graph G is the second-smallest eigenvalue from the Laplacian matrix connected with G. This eigenvalue is in excess of 0 if and only if G is a connected graph. This is the corollary to the truth that the number of times 0 appears being an eigenvalue in the Laplacian is how many connected components inside the graph.

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