h(s) , h(u) Height of s and uf(e)flow of e(edge)c(e)capacity of eef(u) exccess value of u vertix
Max flow problem and push relabel algorithem
By Waqas Shehzad Fast NU Pakistan
Push-relabel algorithm is described by Dr. Andrew Goldberg and Robert E.Tarjan.Leads to better running times, both in theory and practice. All previous Network Flow related algorithms are related to augmentation. A draw back of aug-based schemes: each augmentation takes O(n) time. Multiple augmentations may partially share paths, but it’s not exploited by algorithms.Not very hard to code.Push relabel is consider as the Fastest maximum-flow algorithm.
• Lecturer: Julian Mestre Optimization II Lecture 3• Andrew V. Goldberg and Robert E. Tarjan, A new approach to the maximum-flow problem.• Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest. Introduction to Algorithms.• Algorithm Tutorial: MaximumFlow• Algorithm Tutorial: Introduction to graphs and their data structures• http://iss.ices.utexas.edu/?p=projects/galois/benchmarks/ preflow_push