Algebraic Connectivity Under Site Percolation in Finite Weighted Graphs

IEEE Transactions on Network Science and Engineering, pp. 86-91, 2018.

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Abstract:

We study the behavior of algebraic connectivity in a weighted graph that is subject to site percolation, random deletion of the vertices. Using a refined concentration inequality for random matrices we show in our main theorem that the (augmented) Laplacian of the percolated graph concentrates around its expectation. This concentration bo...More

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