read `TreeLine.txt`:

K:=10:

for n from 1 to K do
 S:=ULtrees(n):
S1:={seq(GClist([n,s],3), s in S)}:

print(`There are`, nops(S), `unlabled trees on`, n, `vertices `):

print(`The set of Line-Graph cardinalities of depth 3 has`, nops(S1), `here there are`):
print(S1):
print(``):

if nops(S1)<nops(S) then
print(`Since there are not enough let's tree depth 4`):

S1:={seq(GClist([n,s],4), s in S)}:

print(`The set of Line-Graph cardinalities of depth 4 has`, nops(S1), `here there are`):
print(S1):



if nops(S1)<nops(S) then
print(`Since there are not enough let's tree depth 5`):

S1:={seq(GClist([n,s],5), s in S)}:

print(`The set of Line-Graph cardinalities of depth 5 has`, nops(S1), `here there are`):
print(S1):


fi:
fi:
od:

print(`-----------------------`):

print(``):
print(`This took`, time(), `seconds. `):

quit: