page 1:
[There are four (4) problems totalling 100 points...]
I see 6 problems and a total of 120 points.

[There is an appendix giving ...]
Maybe say "an appendix at the end giving...".

page 4:
problem 1:
in definition fix A) to (A).

[must always (A) also hold] 
maybe take out the "also".

part (h) is a bit confusing because we have there exists n on one side and
for all n on the other side (is n the same on both sides or n on the right should be m?)

page 5:
problem 2:
part (c) [A barbarian can do one task at a time]
also add "and no two barbarians can work on the same task at the same time".

page 7:
problem 4:
I see that the first two parts have no labels. Should they have (a) and (b) 
and then on the next page continue with the false proof from (c) and on?

Also:
[Consider the following false claim: a regular graph with maximum degree k...]
Does "maximum" have a meaning here, since all vertices have the same degree?

Problem 5 (and 6): if both of these problems stay in the final version
of the exam, I think the exam will be too long :)