On Thu, Mar 29, 2018 at 11:09 AM, Henri Girard <henri.gir...@gmail.com> wrote:
> Very near... Thanks, I would like the circle inside it
>
> https://en.wikipedia.org/wiki/Fano_plane
>
> Do you know why sage choose matroid to make this graphics ?

The Fano plane is really a combinatorial object. See for example
http://buzzard.pugetsound.edu/cs/section-15.html
on how to use Sage to explore it. It just happens to have a nice
picture associated to it, which the developers of the matroid
module implemented.

>
> I just begin and my question might be nonsense.
>
>
>
>
> Le 29/03/2018 à 16:48, David Joyner a écrit :
>>
>> 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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