On the kth best base of a matroid

On the kth best base of a matroid

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Article ID: iaor20102820
Volume: 36
Issue: 2
Start Page Number: 239
End Page Number: 242
Publication Date: Mar 2008
Journal: Operations Research Letters
Authors:
Keywords: matroids
Abstract:

Given a weighted matroid M and a positive integer K, the Kth best base of M problem is to find K distinct minimum (or maximum) bases regarding the weight function. This problem is NP-hard. We prove that it is polynomial for 2-sums of uniform matroids and a fixed number of k-sums of series parallel graphs, M(K4 W3, Q6 and P6.

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