MA015 Graph Algorithms

Lecture II - Maximum Flows (in networks)

Dates

4.10.  Path augmentation, Ford-Fulkerson [revision]
10.10. Edmonds-Karp, Dinic, MPM (Three Indians), networks with unit capacities

Reading

D. Kozen: The Design and Analysis of Algorithms. [Chapters 16-18] [PDF]

Contains Edmonds-Karp, Dinic, MPM (Three Indians)

S. Even, R. E. Tarjan (1975). "Network Flows and Testing Graph Connectivity". SIAM Journal on Computing 4 (4): 507-518. doi:10.1137/0204043 [PDF]

Read this for Dinic's algorithm with unit capacities.

Goldberg, Tarjan: Efficient Maximum Flow Algorithms. Communications of the ACM 57 (8) doi:10.1145/2628036

Very nice recent overview of the current state of the maximum flow algorithms. 

Historical references

Slides

Chyba: Odkazovaný objekt neexistuje nebo nemáte právo jej číst.
https://is.muni.cz/el/1433/podzim2016/MA015/um/02-flows.pdf