Maximum algebraic connectivity augmentation is NP-hard |
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Authors: | Damon Mosk-Aoyama |
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Affiliation: | Department of Computer Science, Stanford University, Gates Building, Room 460, 353 Serra Mall, Stanford, CA 94305, USA |
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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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Keywords: | Algebraic connectivity Computational complexity |
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