In this web page we introduce several
Maple 7 programs
dedicated to the problems of counting integer flows on
networks. A paper explaining these techniques is also available here.
The techniques that are being used rely on the notion of
total residue on the space of rational functions with denominator
supported on a hyperplane arrangement.
The methods extend to the general problem of counting lattice points
inside
unimodular convex polytopes.
Via this web page we release our software and provide related
links. If you have any comments or questions please send an email to
totalresidue@math.ucdavis.edu.