Maximum flow and minimum-cost flow in almost-linear time

L Chen, R Kyng, YP Liu, R Peng… - 2022 IEEE 63rd …, 2022 - ieeexplore.ieee.org
We give an algorithm that computes exact maximum flows and minimum-cost flows on
directed graphs with m edges and polynomially bounded integral demands, costs, and …

Universally-optimal distributed exact min-cut

M Ghaffari, G Zuzic - Proceedings of the 2022 ACM Symposium on …, 2022 - dl.acm.org
We present a universally-optimal distributed algorithm for the exact weighted min-cut. The
algorithm is guaranteed to complete in Õ (D+√ n) rounds on every graph, recovering the …

Fast algorithms via dynamic-oracle matroids

J Blikstad, S Mukhopadhyay, D Nanongkai… - Proceedings of the 55th …, 2023 - dl.acm.org
We initiate the study of matroid problems in a new oracle model called dynamic oracle. Our
algorithms in this model lead to new bounds for some classic problems, and a “unified” …

Almost-linear-time algorithms for maximum flow and minimum-cost flow

L Chen, R Kyng, YP Liu, R Peng… - Communications of the …, 2023 - dl.acm.org
We present an algorithm that computes exact maximum flows and minimum-cost flows on
directed graphs with m edges and polynomially bounded integral demands, costs, and …

Maximal k-Edge-Connected Subgraphs in Weighted Graphs via Local Random Contraction

C Nalam, T Saranurak - Proceedings of the 2023 Annual ACM-SIAM …, 2023 - SIAM
The maximal k-edge-connected subgraphs problem is a classical graph clustering problem
studied since the 70's. Surprisingly, no non-trivial technique for this problem in weighted …

Max-flow min-cut theorem in quantum computing

NB Singh, A Roy, AK Saha - Physica A: Statistical Mechanics and its …, 2024 - Elsevier
The max-flow min-cut theorem in graph theory states that the maximum flow of a network is
equal to the minimum cut of edges of the flow network. Max-flow and min-cut are related as …

Maximum Flow by Augmenting Paths in Time

A Bernstein, J Blikstad, T Saranurak, TW Tu - arXiv preprint arXiv …, 2024 - arxiv.org
We present a combinatorial algorithm for computing exact maximum flows in directed graphs
with $ n $ vertices and edge capacities from $\{1,\dots, U\} $ in $ n^{2+ o (1)}\log U $ time …

Graph Algorithms: Cuts, Flows, and Network Design (Dagstuhl Seminar 23422)

J Li, D Panigrahi, L Sanita, T Saranurak - 2024 - drops.dagstuhl.de
This report documents the program and the outcomes of Dagstuhl Seminar 23422" Graph
Algorithms: Cuts, Flows, and Network Design". This seminar brought 25 leading researchers …

[HTML][HTML] Almost-Linear-Time Algorithms for Maximum Flow and Minimum-Cost Flow We present an algorithm that computes exact maximum flows and minimum-cost …

L Chen, R Kyng, YP Liu, R Peng, MP Gutenberg… - cacm.acm.org
We present an algorithm that computes exact maximum flows and minimum-cost flows on
directed graphs with m edges and polynomially bounded integral demands, costs, and …