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- Path: sparky!uunet!ogicse!emory!gatech!hubcap!fpst
- From: rmdubash@cs.uh.edu (Rumi Dubash)
- Newsgroups: comp.parallel
- Subject: Fortress Problem
- Message-ID: <1992Dec21.205106.23716@hubcap.clemson.edu>
- Date: 21 Dec 92 20:25:54 GMT
- Article-I.D.: hubcap.1992Dec21.205106.23716
- Sender: fpst@hubcap.clemson.edu (Steve Stevenson)
- Organization: Computer Science dept., Univ. of Houston (Main Campus)
- Lines: 16
- Approved: parallel@hubcap.clemson.edu
- Nntp-Posting-Host: rodin.cs.uh.edu
-
- Hi All,
- I was wondering if there are any results that extend the Fortress Guards
- Problem such that it accounts for the guards being visible to other guards.
- To make it clear, there are results O'Rourke, Wood and Aggarwal that
- state that ceil(n/2) guards are necessary and sufficient for any polygon
- for exterior visibility if the guards are also the vertices and ceil(n/3)
- if the guards are allowed to be in the plane. I have not come across any
- result that would provide bounds for the number of guards when besides the
- exterior visibility, if there is an additional condn. that a guard be
- visible by atleast two other guards (it is as though the guards could join
- forces with the prisoners and hence need someone to watch them too!).
- Any pointers will be greatly appreciated.
- Thanx
- Rumi Dubash
- rmdubash@cs.uh.edu
- rdubash@geoquest.com
-