Permutation Bigraphs: An Analogue of Permutation Graphs

نویسندگان

  • Pranab K. Saha
  • Asim Basu
  • Malay K. Sen
  • Douglas B. West
چکیده

We introduce the class of permutation bigraphs as an analogue of permutation graphs. We show that this is precisely the class of bigraphs having Ferrers dimension at most 2. We also characterize the subclasses of interval bigraphs and indifference bigraphs in terms of their permutation labelings, and we relate permutation bigraphs to posets of dimension 2.

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تاریخ انتشار 2011