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Article #1864

Re: looking for an algorithm...

#1864
From: Joseph O'Rourke
Date: Tue, 26 Jan 1993 18:27
16 lines
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In article <279@enstb.enst-bretagne.fr> dezan@enstb.enst-bretagne.fr writes:
>I am looking for an algorithm which can separate n convex polyhedral domains
>(each one from others) with a minimal number of hyperplans.
>Does such an algorithm exist?
>What about its complexity?

Most variations are NP-complete:

@article{m-cps-88
, author =      "N. Megiddo"
, title =       "On the complexity of polyhedral separability"
, journal =     "Discrete Comput. Geom."
, volume =      3
, year =        1988
, pages =       "325--337"
}
Technical Details
Message-ID: <1993Jan26.182740.28632@sophia.smith.edu>
Path: arc1-ca.pugleaf.net!sparky!uunet!news.mtholyoke.edu!news.smith.edu!orourke
References: <279@enstb.enst-bretagne.fr>

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Newsgroups: comp.theory
Path: arc1-ca.pugleaf.net!sparky!uunet!news.mtholyoke.edu!news.smith.edu!orourke
From: orourke@sophia.smith.edu (Joseph O'Rourke)
Subject: Re: looking for an algorithm...
Message-ID: <1993Jan26.182740.28632@sophia.smith.edu>
Keywords: convex polyhedral domain
Organization: Smith College, Northampton, MA, US
References: <279@enstb.enst-bretagne.fr>
Date: Tue, 26 Jan 1993 18:27:40 GMT
Lines: 16