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On the number of spanning trees of Kn and Km, n

✍ Scribed by Moh'd Z. Abu-Sbeih

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
170 KB
Volume
84
Category
Article
ISSN
0012-365X

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✦ Synopsis

The object of this paper is to introduce a new technique for showing that the number of labelled spanning trees of the complete bipartite graph K,,,, is IT(m, n)l = m"-'n"-'.

As an application, we use this technique to give a new proof of Cayley's formula IT(n)1 = nnm2, for the number of labelled spanning trees of the complete graph K,.

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