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Graph Clustering using Effective Resistance
[article]
2017
arXiv
pre-print
#1#1 We design a polynomial time algorithm that for any weighted undirected graph G = (V, E, w) and sufficiently large δ > 1, partitions V into subsets V_1, ..., V_h for some h≥ 1, such that ∙ at most δ^-1 fraction of the weights are between clusters, i.e. w(E - ∪_i = 1^h E(V_i)) ≲w(E)/δ; ∙ the effective resistance diameter of each of the induced subgraphs G[V_i] is at most δ^3 times the average weighted degree, i.e. _u, v ∈ V_iReff_G[V_i](u, v) ≲δ^3 ·|V|/w(E) for all i=1, ..., h. In
arXiv:1711.06530v1
fatcat:cqe3mq5dyjf2tm7eugmyepuxqi