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Application of semidefinite programming to maximize the spectral gap produced by node removal

The smallest positive eigenvalue of the Laplacian of a network is called the spectral gap and characterizes various dynamics on networks. We propose mathematical programming methods to maximize the spectral gap of a given network by removing a fixed number of nodes. We formulate relaxed versions of the original problem using semidefinite programming and apply them to example networks.

preprint2013arXivOpen access
Naoki MasudaTetsuya FujieKazuo Murota
math.OCcond-mat.dis-nn
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Naoki MasudaTetsuya FujieKazuo Murota

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