Develops the first sublinear-time fully dynamic data structures for spectral vertex sparsifiers with applications to dynamic Laplacian solvers and effective resistance queries.
Poly-logarithmic deterministic fully-dynamic algorithms for connectivity, minimum spann ing tree, 2-edge, and biconnectivity
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Fully Dynamic Spectral Vertex Sparsifiers and Applications
Develops the first sublinear-time fully dynamic data structures for spectral vertex sparsifiers with applications to dynamic Laplacian solvers and effective resistance queries.