Combinatorial Optimization of Cycles and Bases

@inproceedings{Erickson2012CombinatorialOO,
  title={Combinatorial Optimization of Cycles and Bases},
  author={Jeff Erickson},
  year={2012}
}
We survey algorithms and hardness results for two important classes of topology optimization problems: computing minimum-weight cycles in a given homotopy or homology class, and computing minimum-weight cycle bases for the fundamental group or various homology groups. 
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A crystalline approximation theorem for hypersurfaces, Ph.D

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