Due in class Monday 9/16.
Do the following exercises from the book:
Section 1.1.2: #3, #5, #8, #11
Section 1.1.3: #2, #3, #9, #10
Hint on #8: Assume that the paths don’t share any vertex. Because is connected, there is a path from a vertex of
to a vertex of
. Take such a path of the shortest possible length. Use this to construct a longer path, getting a contradiction.
Extra credit:
1.1.2 #7, #15, #16
1.1.3 #7
If you try any extra credit problems, please hand them in on a separate sheet of paper, as I will grade them myself.