An odd number multiplied by an odd number is odd, but an even number of odd terms always sums to an even number. Thus, there must be an even number of odd-degree vertices. 2. Eulerian and Hamiltonian Graphs
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Euler’s formula, Planarity testing, and the Four Color Theorem. Digraphs and Networks: Directed graphs and network flow. Tips for Using a Solution Manual Effectively An odd number multiplied by an odd number
) to determine if a graph can be drawn without crossing edges. This section often includes proofs regarding K5cap K sub 5 K3,3cap K sub 3 comma 3 end-sub non-planarity. Eulerian and Hamiltonian Graphs Perfect for math majors,
Eulerian circuits, Hamiltonian cycles, and shortest path algorithms.
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