Advanced High-School Mathematics

(Tina Meador) #1

SECTION 2.2 Elementary Graph Theory 127


Example 1, continued. We
shall return to the above exam-
ple only long enough to indicate a
minimal-weight spanning tree. In
the next subsection we shall indi-
cate an efficient method to derive
this optimal solution.


Exercises



  1. Construct (by drawing) a spanning tree in each of the graphs de-
    picted below.

  2. Can you give a simple example of a graph which has no Hamilto-
    nian cycle?

  3. Indicate a Hamiltonian cycle in the
    graph to the right (if one exists).

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