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On the complexity of recognizing a class of generalized networks
Authors:Vijaya Chandru  Collette R Coullard  Donald K Wagner
Institution:School of Industrial Engineering, Purdue University, West Lafayette, IN 47907, USA
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.
Keywords:network flows  problem equivalence  computational complexity  matroids
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