On the complexity of recognizing a class of generalized networks

Chandru, Vijaya ; Coullard, Collette R ; Wagner, Donald K (1985) On the complexity of recognizing a class of generalized networks Operations Research Letters, 4 (2). pp. 75-78. ISSN 01676377

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Official URL: http://doi.org/10.1016/0167-6377(85)90036-7

Related URL: http://dx.doi.org/10.1016/0167-6377(85)90036-7

Abstract

The problem of determining whether a given linear programming problem can be converted to a generalized network flow problem having no unit-weight cycles is shown to be NP-hard. The same argument also shows that the problem of determining whether a gain matroid is bicircular is NP-hard.

Item Type:Article
Source:Copyright of this article belongs to Elsevier B.V
Keywords:network flows;problem equivalence;computational complexity;matroids
ID Code:132619
Deposited On:20 Dec 2022 08:44
Last Modified:20 Dec 2022 08:44

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