Due Monday, October 7.
Section 1.4.1: #3
Section 1.4.2: #1, #2, #7
Section 1.4.3: #2, #10, #12 (on #2, recall that a graph is 2-connected if and only if it is connected (added 10/3) and it has no cut vertex)
Section 1.5.1: #1 (second graph only), #7
Section 1.5.2: #1, #5
Extra credit:
Section 1.4.3 #13, Section 1.5.1 #5
A. Show that the graph G3 from Figure 1.59 on p.61 is traceable, but not Hamiltonian. Show that the first graph in Figure 1.65 on p. 67 is nontraceable. Can you see a relation with the fact that K4 doesn’t have an Eulerian trail?