Maximum algebraic connectivity augmentation is NP-hard

Maximum algebraic connectivity augmentation is NP-hard

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Article ID: iaor20102913
Volume: 36
Issue: 6
Start Page Number: 677
End Page Number: 679
Publication Date: Nov 2008
Journal: Operations Research Letters
Authors:
Abstract:

The algebraic connectivity of a graph, which is the second-smallest eigenvalue of the Laplacian of the graph, is a measure of connectivity. We show that the problem of adding a specified number of edges to an input graph to maximize the algebraic connectivity of the augmented graph is NP-hard.

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