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