A NOTE ON A NEARLY UNIFORM PARTITION INTO COMMON INDEPENDENT SETS OF TWO MATROIDS

Author:

Fujishige Satoru1,Takazawa Kenjiro2,Yokoi Yu3

Affiliation:

1. RIMS, Kyoto University

2. Hosei University

3. National Institute of Informatics

Publisher

The Operations Research Society of Japan

Subject

Management Science and Operations Research,General Decision Sciences

Reference9 articles.

1. [1] J. Davies and C. McDiarmid: Disjoint common transversals and exchange structures. Journal of the London Mathematical Society, 2 (1976), 55–62.

2. [2] A. Frank: Connections in Combinatorial Optimization (Oxford University Press, Oxford, 2011).

3. [3] S. Fujishige: Submodular Functions and Optimization Second Edition (Elsevier, Amsterdam, 2005).

4. [4] T. Király and Y. Yokoi: Equitable partitions into matchings and coverings in mixed graphs. arXiv:1811.07856v2 [math.CO] 20 Nov 2018.

5. [5] D. Kotlar and R. Ziv: On partitioning two matroids into common independent subsets. Discrete Mathematics, 300 (2005), 239–244.

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