The Base-matroid and Inverse Combinatorial Optimization Problems
نویسندگان
چکیده
A new matroid is introduced: this matroid is de0ned starting from any matroid and one of its bases, hence we call it base-matroid. Besides some properties of the base-matroid, a non-trivial algorithm for the solution of the related matroid optimization problem is presented. The new matroid has application in the 0eld of inverse combinatorial optimization problems. We discuss in detail the LP formulation of the inverse matroid optimization problem and we propose an e(cient algorithm for computing its primal and dual solutions. ? 2003 Elsevier Science B.V. All rights reserved.
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 128 شماره
صفحات -
تاریخ انتشار 2003