MA015 Graph Algorithms

Lecture II - Maximum Flows (in networks)

Dates

13.10. (Ford-Fulkerson [revision], Edmonds-Karp, Dinic [part])

24.10. (finished Dinic, MPM [Three Indians], Dinic with unit/integral 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Historical references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/podzim2015/MA015/um/02-flows.pdf