Complete bipartite graphs. A complete bipartite graph is a graph with the property that

Chapter 6, Problem 71

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Complete bipartite graphs. A complete bipartite graph is a graph with the property that the vertices can be divided into two sets A and B and each vertex in set A is adjacent to each of the vertices in set B. There are no other edges! If there are m vertices in set A and n vertices in set B, the complete bipartite graph is written as Kn, n. Figure 56 shows a generic bipartite graph. (a) For n 7 1, the complete bipartite graphs of the form Km, n all have Hamilton circuits. Explain why.

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