A Generalization of the Theorem on Forming a Matroid from Parts
Journal Article
·
· Journal of Mathematical Sciences
The following generalization of the theorem on forming a matroid from parts is proved: If a finite set is subdivided into some blocks, each of which is supplied with a matroid structure, and the ranks of every union of certain blocks are prescribed and satisfy the conditions on the rank function of a matroid, then the rank function can be extended to all the subsets of the original set in such a way that the latter becomes a matroid.
- OSTI ID:
- 22773918
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 6 Vol. 232; ISSN JMTSEW; ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
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