Question: Discrete Mathematics ================== Part III [1] 1. Does there exist a simple graph with degree sequence 1,2,3,5? Justify your answer. 2. Suppose there are 30

Discrete Mathematics

==================

Part III [1]

1.Does there exist a simple graph with degree sequence 1,2,3,5? Justify your answer.

2. Suppose there are 30 small towns in a country. From each town there is a direct bus route to a least 20 towns. Is it possible to go from one town to ant other town by bus possibly changing from one bus and then taking another bus to another town?

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