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.