A new proof of Cayley's formula for counting labeled trees
نویسندگان
چکیده
منابع مشابه
A Bijective Proof for the Number of Labeled q-Trees
We giv e a bijective proof that the number of vertex labeled q-trees on n vertices is given by n q [ q n − q + 1 ] n − q − 2 . The bijection transforms each pair ( S , f ) where S is a q-element subset of an n-set, and f is a function mapping an ( n − q − 2 )-set to a ( q n − q + 1 )-set into a labeled q-tree on n nodes by a cutand-paste process. As a special case, q = 1 yields a new bi...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1995
ISSN: 0097-3165
DOI: 10.1016/0097-3165(95)90022-5