Cayleys theorem. Cayleys theorem says that the number of spanning trees in a complete

Chapter 7, Problem 53

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Cayleys theorem. Cayleys theorem says that the number of spanning trees in a complete graph with N vertices is given by NN-2 . (a) List the 42 = 16 spanning trees of K4. (b) Which is larger, the number of Hamilton circuits or the number of spanning trees in a complete graph with N vertices? Explain.

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