IEOR 6614, Spring 2016 : Homework 8

Assigned: Thursday, March 24, 2016
Due: Thursday, March 31 2016

General Instructions

  1. Please review the course information.
  2. You must write down with whom you worked on the assignment. If this changes from problem to problem, then you should write down this information separately with each problem.
  3. Numbered problems are all from the textbook Network Flows .

Problems

  1. Suppose that you are given a bipartite graph with a (non-maximum) matching M. Let P be a maximal set of vertex-disjoint shortest augmenting paths with respoect to M. Give a linear time algorithm to compute P.
  2. 12.8. Combining two matchings.
  3. 12.40. Maximal matchings.


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cliff@ieor.columbia.edu