Helloooooooooooooo !!!

To consider the problem as linear program and use 
> MixedIntegerLinearProgram()  with integer constrains works, but it is very 
> very slow for larger systems.
>

Well, your problem is *precisely* what Integer Linear Program solvers are 
written for, so I guess that using them is the good way to go unless you 
plan on using some properties of the matrices you generate (and that the LP 
solvers would not notice) to solve your equation.

They are indeed slow in some cases, but we have to work with the tools 
available, or rather those we know about. ILP's what I would try to do 
myself -- if you find some other way to solve these equations please let me 
know, for I use them very often and I would be delighted to solve my graph 
problems faster too :-)

By the way, in Sage MixedIntegerLinearProgram uses GLPK by default to solve 
these problems, but you can also ask it to solve them with Gurobi or CPLEX, 
which are usually *MUCH* faster.

Good luuuuuuuuuck ! :-)

Nathann

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