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cs.DS2024
Efficient Matroid Intersection via a Batch-Update Auction Algorithm
Joakim Blikstad, Ta-Wei Tu
Given two matroids and over the same -element ground set, the matroid intersection problem is to find a largest common independent set, whose siz…
cs.DS2024
Matching Composition and Efficient Weight Reduction in Dynamic Matching
Aaron Bernstein, Jiale Chen, Aditi Dudeja +3
We consider the foundational problem of maintaining a -approximate maximum weight matching (MWM) in an -node dynamic graph undergoing edge insertions and deleti…
cs.DS2024
Maximum Flow by Augmenting Paths in Time
Aaron Bernstein, Joakim Blikstad, Thatchaphol Saranurak +1
We present a combinatorial algorithm for computing exact maximum flows in directed graphs with vertices and edge capacities from in time, whi…