Thick non-crossing paths and minimum-cost flows in polygonal domains. Polishchuk, V. & Mitchell, J. S. B. In Symposium on Computational Geometry, pages 56--65, 2007. ACM.
bibtex   
@inproceedings{DBLP:conf/compgeom/PolishchukM07,
  author    = {Valentin Polishchuk and
               Joseph S. B. Mitchell},
  title     = {Thick non-crossing paths and minimum-cost flows in polygonal domains},
  booktitle = {Symposium on Computational Geometry},
  pages     = {56--65},
  publisher = {{ACM}},
  year      = {2007}
}

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