Title
A constrained independent set problem for matroids
Abstract
In this note, we study a constrained independent set problem for matroids. The problem can be regarded as an ordered version of the matroid parity problem. By a reduction of this problem to matroid intersection, we prove a min-max formula. We show how earlier results of Hefner and Kleinschmidt on the so-called MS-matchings fit in our framework.
Year
DOI
Venue
2004
10.1016/S0167-6377(03)00063-4
Oper. Res. Lett.
Keywords
Field
DocType
ms matchings,matroid parity,matroid intersection,matroid parity problem,independent set problem,so-called ms-matchings,min-max formula,earlier result,independent set
Matroid,Discrete mathematics,Combinatorics,Matroid intersection,Oriented matroid,Matroid partitioning,Independent set,Graphic matroid,Weighted matroid,Parity problem,Mathematics
Journal
Volume
Issue
ISSN
32
1
Operations Research Letters
Citations 
PageRank 
References 
2
0.40
5
Authors
3
Name
Order
Citations
PageRank
Tamás Fleiner124127.45
András Frank2753163.71
Satoru Iwata375970.03