Approximation Algorithms

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Presentation transcript:

Approximation Algorithms Bin Packing

Definition My T. Thai mythai@cise.ufl.edu

Theorem My T. Thai mythai@cise.ufl.edu

An Easy Solution: First Fit My T. Thai mythai@cise.ufl.edu

Asymptotic PTAS My T. Thai mythai@cise.ufl.edu

My T. Thai mythai@cise.ufl.edu

My T. Thai mythai@cise.ufl.edu

Multiway Cut and k-Cut My T. Thai mythai@cise.ufl.edu

Definition My T. Thai mythai@cise.ufl.edu

Example My T. Thai mythai@cise.ufl.edu

Can you prove it??? My T. Thai mythai@cise.ufl.edu

Approximation My T. Thai mythai@cise.ufl.edu

Analysis My T. Thai mythai@cise.ufl.edu

Minimum k-cut Problem My T. Thai mythai@cise.ufl.edu

Example My T. Thai mythai@cise.ufl.edu

Construct a Gomory-Hu Tree My T. Thai mythai@cise.ufl.edu

My T. Thai mythai@cise.ufl.edu

Properties of Gomory-Hu Tree wrt k-cut My T. Thai mythai@cise.ufl.edu

Approximation Algorithm My T. Thai mythai@cise.ufl.edu

Analysis My T. Thai mythai@cise.ufl.edu

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