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- W2802999861 abstract "We relate two conjectures that play a central role in the reported proof of Rota's Conjecture. Let $mathbb F$ be a finite field. The first conjecture states that: the branch-width of any $mathbb F$-representable $N$-fragile matroid is bounded by a function depending only upon $mathbb F$ and $N$. The second conjecture states that: if a matroid $M_2$ is obtained from a matroid $M_1$ by relaxing a circuit-hyperplane and both $M_1$ and $M_2$ are $mathbb F$-representable, then the branch-width of $M_1$ is bounded by a function depending only upon $mathbb F$. Our main result is that the second conjecture implies the first." @default.
- W2802999861 created "2018-05-17" @default.
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- W2802999861 date "2018-05-08" @default.
- W2802999861 modified "2023-09-27" @default.
- W2802999861 title "Matroid fragility and relaxations of circuit hyperplanes" @default.
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- W2802999861 hasPublicationYear "2018" @default.
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