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Magazine Problem 14
The graph has 60 even vertices and no odd vertices. The graph has 80 even vertices and no odd vertices.
Problem 15
A connected graph is described. Determine whether the graph has an Euler path (but not an Euler circuit), an Euler circuit, or neither an Euler path nor an Euler circuit. Explain your answer. The graph has 58 even vertices and two odd vertices.
Problem 16
Determine the number of Hamilton circuits in a complete graph with the given number of vertices. 4
Problem 17
Determine the number of Hamilton circuits in a complete graph with the given number of vertices. 12
Problem 52
Draw a graph with the given characteristics. The graph has eight vertices and exactly one bridge.
Problem 52
Describe how to determine the number of Hamilton circuits in a complete graph.
Problem 53
What is a weighted graph and what are the weights?
Problem 55
What are equivalent graphs?
Problem 56
Why is the Brute Force Method impractical for large numbers of vertices?
Problem 59
What are adjacent vertices? If two vertices are near each other in a graph, are they necessarily adjacent? Explain your answer.
