Timeline for Base decomposition of matroids
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 14, 2016 at 7:52 | comment | added | Quentin Fortier | It was useful, and your proof also prove that every spanning tree has an odd number of representations (i.e there are an odd number of possible sigmas in your statement). | |
| Jun 13, 2016 at 20:28 | comment | added | John Machacek | Ok so my intuition was right about the cocircuits, thanks for the reference! Yes, I was not sure how helpful it is to you, but I though I might offer some explanation of the phenomenon you observed for graphs. | |
| Jun 13, 2016 at 13:40 | comment | added | Quentin Fortier | Thank you. Indeed the fundamentals cocircuits associated to a base of a general matroid have the property that every base is a transversal of these cocircuits (ON FUNDAMENTAL TRANSVERSAL MATROID, R. A. BRU ALDI, Corollary 1). I am not sure in which extent these cocircuits have "good" properties. | |
| Jun 11, 2016 at 22:12 | history | answered | John Machacek | CC BY-SA 3.0 |