I need help defining a function that does the following (I'm very new to python/sage).
I need a function called ihara(G) where G is any graph input by the user.
i need the function ihara(G) = Z after all the calculations below:
D = G.to_directed()
L = G.line_graph()
IM = identity_matrix(QQ,D.size())
T = L.adjaency.matrix()
L.delete_edges([((x,y,None), (y,x,None)) for x,y in G.edges( labels=None ) ])
L.delete_edges([((x,y,None), (y,x,None)) for y,x in G.edges( labels=None ) ])
var('u')
X=IM-u*T
Z=X.det()
Could anybody help me with this? or at least get me started in the right direction...