On Thu, Mar 29, 2018 at 9:32 AM, Henri Girard <henri.gir...@gmail.com> wrote:
> Hi,
>
> I don' manage matroid well, is there no way for doing a fano's graph with a
> matrix ?
>
> After I could find adjacent and incident matrix apparently in matroid is not
> possible ?

The fano matroid is not graphical
https://en.wikipedia.org/wiki/Graphic_matroid#Minors_and_duality
so it doesn't have an adjacency matrix in the sense of a graph.
Here is a graph whose picture looks a bit like the standard image
of the Fano matriod:

sage: Gamma = Graph([(0,1),(0,2),(1,2),(1,3),(3,4),(1,4),(2,4),(2,5),(4,5)])
sage: A = Gamma.adjacency_matrix()
sage: A
[0 1 1 0 0 0]
[1 0 1 1 1 0]
[1 1 0 0 1 1]
[0 1 0 0 1 0]
[0 1 1 1 0 1]
[0 0 1 0 1 0]

I'm not sure if that is what you are looking for.

>
> Any help welcome
>
> Henri
>
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