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ORL
2008
115views more  ORL 2008»
13 years 11 months ago
Maximum algebraic connectivity augmentation is NP-hard
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 sp...
Damon Mosk-Aoyama
NETWORKING
2008
14 years 27 days ago
On the Robustness of Complex Networks by Using the Algebraic Connectivity
The second smallest eigenvalue of the Laplacian matrix, also known as the algebraic connectivity, plays a special role for the robustness of complex networks since it measures the ...
A. Jamakovic, Piet Van Mieghem
CDC
2008
IEEE
129views Control Systems» more  CDC 2008»
14 years 6 months ago
On the structure of graph edge designs that optimize the algebraic connectivity
— We take a structural approach to the problem of designing the edge weights in an undirected graph subject to an upper bound on their total, so as to maximize the algebraic conn...
Yan Wan, Sandip Roy, Xu Wang, Ali Saberi, Tao Yang...