NIST

path system problem

(classic problem)

Definition: For a path system P=(x,R,S,T), where S⊆ X, T ⊆ X, and R⊆ X × X × X, the problem of whether there is an admissible vertex in S. A vertex is admissible if and only if x∈ T, or there exists admissible y, z ∈ X such that (x,y,z) ∈ R.

Note: From Algorithms and Theory of Computation Handbook, page 45-23, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.

Author: CRC-A


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Entry modified 17 December 2004.
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Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "path system problem", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 17 December 2004. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/pathsystem.html