Question 1
After the semi-eulerization of a graph, the number of odd vertices is
◦ the same as the number of even vertices of the graph.
◦ 0.
◦ 2.
◦ not possible to determine without knowing the specific graph.
◦ the same as the number of odd vertices before the semi-eulerization.
Question 2
An undercover police officer is assigned the job of once a night walking each of the 48 blocks of a certain section of town described by the street grid shown below. The walk starts and ends at A. The officer wants to minimize the total number of blocks he has to walk each night.
Suppose that it takes the officer 5 minutes to walk a block. In an optimal trip, the officer will cover the entire neighborhood in
◦ 5 hours and 10 minutes.
◦ 5 hours.
◦ 4 hours and 50 minutes.
◦ 4 hours and 45 minutes.
◦ none of these
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