Preprint
Aug 2026
TopoBudget: Persistent-Connectivity-Preserving Web Graph Sparsification for Reusable Community Analytics
TopoBudget couples exact multiscale connectivity with budgeted, reusable community preservation, and proves exact preservation of the component partition at every threshold, and that the conditioned objective is monotone and submodular, so greedy attains a (1-1/e) guarantee for the fixed-backbone residual problem.
Jianru Shen
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