Hamilton Circuit Review

Front

If a complete graph has 4 vertices, how many edges does the graph have?

Back

6

Front

What is the ONLY method that guarantees the best route is found?

Back

Brute Force

Front

In a Hamilton Circuit, we visit

Back

every vertex

Front

If a complete graph has 4 vertices, what is the degree of each vertex?

Back

3

Front

If a complete graph has 4 vertices, how many Hamilton Circuits does the graph have?

Back

6

Front

Define a Hamilton Circuit.

Back

A Hamilton Circuit is a path in a graph that visits each vertex exactly once and returns to the starting vertex.

Front

What is a complete graph?

Back

A complete graph is a graph in which every pair of distinct vertices is connected by a unique edge.

Front

How do you calculate the number of edges in a complete graph with n vertices?

Back

The number of edges is given by the formula n(n-1)/2.

Front

What is the significance of the degree of a vertex in graph theory?

Back

The degree of a vertex is the number of edges connected to it, indicating its connectivity.

Front

What is the Nearest Neighbor method in graph theory?

Back

The Nearest Neighbor method is a heuristic for solving the Traveling Salesman Problem by visiting the nearest unvisited vertex.