We calculate the number of spanning trees of a complete multipartite graph, using a 'Prufer sequence' argument, and we use this approach to determine the distribution of the vertices of given degree among all the spanning trees. (C) 1999 Elsevier Science B.V. All rights reserved.
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Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R ChinaHong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China
Li, Jianxi
Shiu, Wai Chee
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Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R ChinaHong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China
Shiu, Wai Chee
Chang, An
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Fuzhou Univ, Software Coll, Ctr Discrete Math, Fuzhou 350002, Fujian, Peoples R ChinaHong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China