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- W2971333711 abstract "Brylawski and Seymour independently proved that if $M$ is a connected matroid with a connected minor $N$, and $e in E(M) - E(N)$, then $M backslash e$ or $M / e$ is connected having $N$ as a minor. This paper proves an analogous but somewhat weaker result for $2$-polymatroids. Specifically, if $M$ is a connected $2$-polymatroid with a proper connected minor $N$, then there is an element $e$ of $E(M) - E(N)$ such that $M backslash e$ or $M / e$ is connected having $N$ as a minor. We also consider what can be said about the uniqueness of the way in which the elements of $E(M) - E(N)$ can be removed so that connectedness is always maintained." @default.
- W2971333711 created "2019-09-05" @default.
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- W2971333711 date "2019-08-27" @default.
- W2971333711 modified "2023-09-27" @default.
- W2971333711 title "A note on the connectivity of 2-polymatroid minors" @default.
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