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- W2100600533 abstract "A certain unimodal conjecture in matroid theory states the number of rank-r matroids on a set of size n is unimodal in r and attains its maximum at r=lfloor n/2 rfloor . We show that this conjecture holds up to r=3 by constructing a map from a class of rank-2 matroids into the class of loopless rank-3 matroids. Similar inequalities are proven for the number of non-isomorphic loopless matroids, loopless matroids and matroids." @default.
- W2100600533 created "2016-06-24" @default.
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- W2100600533 date "2002-01-01" @default.
- W2100600533 modified "2023-10-13" @default.
- W2100600533 title "On a Unimodality Conjecture in Matroid Theory" @default.
- W2100600533 cites W617723651 @default.
- W2100600533 doi "https://doi.org/10.46298/dmtcs.307" @default.
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