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cs.DS2026
Partially-Dynamic All-Pairs Maxflow and Effective Resistance via Stable Sparsifiers
Gramoz Goranci, Rasmus Kyng, Maximilian Probst Gutenberg +2
We give a randomized data structure for undirected weighted graphs that are partially dynamic, i.e., that undergo either only edge insertions or only edge deletions. The data struc…
cs.DS2026
An Online Sparsification Algorithm from the Book
Gramoz Goranci, Rasmus Kyng, Maximilian Probst Gutenberg +2
In their seminal paper [Cohen et al., 2016], Cohen, Musco, and Pachocki proposed a natural and simple online spectral sparsification algorithm: rows $a_1, a_2, \ldots \in \mathbb{R…
cs.DS2026
Dynamic Hierarchical -Tree Decomposition and Its Applications
Gramoz Goranci, Monika Henzinger, Peter Kiss +2
We develop a new algorithmic framework for designing approximation algorithms for cut-based optimization problems on capacitated undirected graphs that undergo edge insertions and…