Input-Output Decomposition of Dynamic Systems is NP-Complete

Robert E. Tarjan

doi:10.1109/TAC.1984.1103657

Input-Output Decomposition of Dynamic Systems is NP-Complete

Robert E. Tarjan

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Pichai, Sezar, and Å iljak have studied a decomposition technique for acyclic graphs, called input–output decomposition, that simplifies the analysis of dynamic systems. We show that the problem of determining whether a given graph is decomposable is NP-complete. Since this makes the existence of a polynomial-time decomposition algorithm unlikely, the possible benefits of having an input–output decomposition may be outweighed by the difficulty of finding one.

Original language	English (US)
Pages (from-to)	863-864
Number of pages	2
Journal	IEEE Transactions on Automatic Control
Volume	29
Issue number	9
DOIs	https://doi.org/10.1109/TAC.1984.1103657
State	Published - 1984
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.1984.1103657

Cite this

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abstract = "Pichai, Sezar, and {\AA} iljak have studied a decomposition technique for acyclic graphs, called input–output decomposition, that simplifies the analysis of dynamic systems. We show that the problem of determining whether a given graph is decomposable is NP-complete. Since this makes the existence of a polynomial-time decomposition algorithm unlikely, the possible benefits of having an input–output decomposition may be outweighed by the difficulty of finding one.",

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AB - Pichai, Sezar, and Å iljak have studied a decomposition technique for acyclic graphs, called input–output decomposition, that simplifies the analysis of dynamic systems. We show that the problem of determining whether a given graph is decomposable is NP-complete. Since this makes the existence of a polynomial-time decomposition algorithm unlikely, the possible benefits of having an input–output decomposition may be outweighed by the difficulty of finding one.

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JO - IEEE Transactions on Automatic Control

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ER -

Input-Output Decomposition of Dynamic Systems is NP-Complete

Abstract

All Science Journal Classification (ASJC) codes

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