November 9, 2025Open Access

Faster Weak Expander Decompositions and Approximate Max Flow

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Algorithms improve approximate max flow and weak expander decompositions in undirected graphs, indicating advances in flow methods.

Approximate max flow is achieved within logarithmic factors of expander decomposition limits, enhancing flow computations.
The algorithm employs a warm start in the cut-matching game, optimizing recursion depth for faster weak expander decompositions.
Streamlined adaptations build on non-recursive max flow algorithms, effectively using new decomposition primitives.
These advancements in undirected graphs signify potential applications in network design and optimization.

Fleischmann et al. (2025) studied this question.

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