Timeline for Matroids of rank two
Current License: CC BY-SA 3.0
3 events
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| Oct 11, 2017 at 13:27 | comment | added | Quentin Fortier | Indeed, this can also be seen with the partition of Fedor Petrov (other answer). But in my particular problem parallel elements are important. | |
| Oct 11, 2017 at 13:14 | comment | added | Peter Heinig | This is correct, at least for finite matroids; for finite matroids, one of the many ways to justify this, and an interestingly 'roundabout' way, is to appeal to Theorem 6.1.3, equivalence (i)$\leftrightarrow$(ii), in Oxley, Matroid Theory, 2nd edition, which for $r=2$ degenerates into the statement that the matroid is a projective geometry in dimension 1, which of course is a uniform matroid, as you say. | |
| Oct 11, 2017 at 12:59 | history | answered | Tony Huynh | CC BY-SA 3.0 |