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Random packing by matroid bases and triangles

✍ Scribed by Safwan Akkari

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 356 KB
Volume: 145
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)00050-s

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✦ Synopsis

Let M be a matroid on a finite set E(M). Then M is packable by bases if E(M) is the disjoint union of bases. A partial packing of M is a collection of disjoint bases whose union is a proper subset of E(M). M is a randomly packable by bases if every partial packing can be extended to a packing of M. This paper determines the structure of the matroids that are randomly packable by bases. It also gives a characterization, in terms of forbidden restrictions, of the simple matroids that are randomly packable by 3-circuits.

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