Chapter 13, Problem 23RE

The Central Newfoundland Hospital Board would like to build a medical complex with the relationship graph shown.

To determine the feasibility of the project, the contractor hires a student who recently completed a course in graph theory. The student writes a report that

• States Kuratowski’s Theorem and uses it to prove that the above graph is not planar;

• Finds two different Hamiltonian cycles in the graph; and

• Uses each cycle to determine a different best possible approximation to the original demands.

Write such a report yourself and illustrate with diagrams.