On Monday, January 30, 2017 at 9:48:22 AM UTC-5, Thierry 
(sage-googlesucks@xxx) wrote:
>
> Hi, 
>
> On Mon, Jan 30, 2017 at 03:44:06AM -0800, jamel Dammak wrote: 
> > Dear sir, 
> > 
> > there is an error concerning the function "is_prime" for graphs in 
> > Sagemath, section Graph Theory. 
> > 
> > Here is a conter-example. 
> > 
> > g1=Graph({0:[1,4],1:[0,2,4],2: [1,3,4],3:[2],4:[0,1,2]});g2=G 
> > raph({0:[1],1:[0,2,4],2:[1,3,4 ],3:[2,4],4:[1,2,3]}) 
> > #g1.show();g2.show(); 
> > #[1,4] is a module of g1 so g1 is not prime 
> > #[2,4] is a module of g2 so g2 is not prime 
> > g2.is_isomorphic(g1), g1.is_prime(),g2.is_prime() 
> > 
> > This is a conter-example with two isomorphic graphs g1 and g2 on 5 
> > vertices giving two different results 
> > with the function "is prime". 
> > 
> > I have an algorithm giving the list of all prime graphs on at most 8 
> > vertices. 
>
>
> Great, go ahead, ask for a trac account, and propose your changes. 
>

I've reported this at https://trac.sagemath.org/ticket/22281
Note it depends on an optional package, so this may be part of the issue. 

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