A minimization version of a directed subgraph homeomorphism problem

@article{Brenner2009AMV,
  title={A minimization version of a directed subgraph homeomorphism problem},
  author={Janina A. Brenner and S{\'a}ndor P. Fekete and Jan van der Veen},
  journal={Mathematical Methods of Operations Research},
  year={2009},
  volume={69},
  pages={281-296}
}
We consider a special case of the directed subgraph homeomorphism or topological minor problem, where the host graph has a specific regular structure. Given an acyclic directed pattern graph, we are looking for a host graph of minimal height which still allows for an embedding. This problem has applications in compiler design for certain coarse-grain reconfigurable architectures. In this application domain, the task is to simultaneously schedule, bind and route a so-called data-flow graph… 

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