Complexity of vector optimization problems on graphs

Complexity of vector optimization problems on graphs

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Article ID: iaor19921932
Country: Germany
Volume: 22
Start Page Number: 903
End Page Number: 918
Publication Date: Dec 1991
Journal: Optimization
Authors: ,
Keywords: graphs
Abstract:

The paper is dedicated to the computation complexity of multi-objective optimization problems on graphs. The classes of multi-objective problems with polynomial complexity or being polynomially reduced to be NP-hard are marked out. The unsolvability of a series of combinatorial multi-objective problems has been set up by means of linear convolution algorithm. The sufficient conditions under which these algorithms are statistically efficient have also been obtained.

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