Characterization and Recognition of Point-Halfspace and Related Orders

نویسندگان

  • Paul J. Tanenbaum
  • Michael T. Goodrich
  • Edward R. Scheinerman
چکیده

We characterize four classes of geometric membership and containment orders|structurally and in terms of forbidden subposets| and present linear-or near linear-time recognition algorithms for each class. We also show that recognizing point-halfspace orders in IR d is NP-hard for d 2.

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تاریخ انتشار 1994