Article ID Journal Published Year Pages File Type
1142919 Operations Research Letters 2008 4 Pages PDF
Abstract

Given a weighted matroid MM and a positive integer KK, the KKth best base of MM problem is to find KK 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 kk-sums of series parallel graphs, M(K4)M(K4), W3W3, Q6Q6 and P6P6.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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