Breaking the Cubic Barrier for All-Pairs Max-Flow: Gomory-Hu Tree in Nearly Quadratic Time-Reference-Cited by-同舟云学术

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Breaking the Cubic Barrier for All-Pairs Max-Flow: Gomory-Hu Tree in Nearly Quadratic Time

Published:2022-10 Issue: Volume: Page:
ISSN:
Container-title:2022 IEEE 63rd Annual Symposium on Foundations of Computer Science (FOCS)
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Author:

Abboud Amir¹,Krauthgamer Robert¹,Li Jason²,Panigrahi Debmalya³,Saranurak Thatchaphol⁴,Trabelsi Ohad⁵

Affiliation:

1. Weizmann Institute of Science,Rehovot,Israel

2. Simons Institute University of California, Berkeley,Berkeley,USA

3. Duke University,Durham,USA

4. University of Michigan, Ann Arbor,Ann Arbor,USA

5. Toyota Technological Institute at Chicago,Chicago,USA

Funder

Weizmann Institute of Science

Israel Science Foundation

Minerva Foundation

Publisher

IEEE

Link

http://xplorestaging.ieee.org/ielx7/9996589/9996592/09996943.pdf?arnumber=9996943

Reference72 articles.

1. Cut Tree Construction from Massive Graphs

2. On Oriented Communication Nets

3. A Reduction Method for Edge-Connectivity in Graphs

4. Planar Graph Perfect Matching Is in NC

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Minimum Cut in $$O(m\log ^2 n)$$ Time;Theory of Computing Systems;2024-06-12

2. A Dynamic Shortest Paths Toolbox: Low-Congestion Vertex Sparsifiers and Their Applications;Proceedings of the 56th Annual ACM Symposium on Theory of Computing;2024-06-10

3. Almost-Linear-Time Algorithms for Maximum Flow and Minimum-Cost Flow;Communications of the ACM;2023-11-17

4. All-Pairs Max-Flow is no Harder than Single-Pair Max-Flow: Gomory-Hu Trees in Almost-Linear Time;2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS);2023-11-06

5. A Deterministic Almost-Linear Time Algorithm for Minimum-Cost Flow;2023 IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS);2023-11-06

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