Graph Theory
Virginia SOL DM.GT.2
Solve problems using circuits, cycles, Euler paths, Euler circuits, Hamilton paths, and Hamilton circuits.
What students need to be able to do
- Determine whether a graph has an Euler circuit or path and identify it if it exists.
- Determine whether a graph has a Hamilton circuit or path and identify it if it exists.
- Count the number of Hamilton circuits for a complete graph with n vertices.
- Use an Euler circuit algorithm to solve optimization problems.