Article ID Journal Published Year Pages File Type
4651989 Electronic Notes in Discrete Mathematics 2014 4 Pages PDF
Abstract

Cayleysʼs formula for enumerating spanning trees in complete graphs is one of the main theorems in this topic. In this note based on a new recursive method for the enumeration of spanning trees and meanwhile enumerating spanning trees in a kind of complete multigraph, a new proof for the Cayleyʼs formula is given. A generalization of this formula is also presented.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics