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The delta-sum of matching delta-matroids

✍ Scribed by André Bouchet; Werner Schwärzler

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 574 KB
Volume: 181
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(97)00044-7

No coin nor oath required. For personal study only.

✦ Synopsis

We discuss a composition operation of delta-matroids, called delta-sum, in relation to similar compositions of related combinatorial structures like matroids and jump systems. The delta-sum of matching delta-matroids is associated with the linkings of a graph. We exhibit a min-max formula for the polyhedral rank function of that delta-matroid, which implies a result of Gallai on linkings.

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