pathsystem.html

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<H1>path system problem</H1>
<P>
(classic problem)

<P>
<strong>Definition:</strong>
For a path system P=(x,R,S,T), where S proper subset ofeq X, T  proper subset ofeq X, and R proper subset ofeq X  &times; X  &times; X, the problem of whether there is an admissible <a href="vertex.html" tppabs="http://hissa.nist.gov/dads/HTML/vertex.html"><em>vertex</em></a> in S.  A vertex is admissible if and only if x in T, or there exists admissible y, z  in X such that (x,y,z)  in R.
<P><em>Note:
From Algorithms and Theory of Computation Handbook, page 45-23, Copyright &copy; 1999 by CRC Press LLC.</em>
<P>Author: <a href="terms.html#authorCRC-A" tppabs="http://hissa.nist.gov/dads/terms.html#authorCRC-A">CRC-A</a>

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<p>
Entry modified Thu Jun 17 13:02:25 1999.<BR>
HTML page formatted Wed Dec 22 09:36:06 1999.

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