A proof of the rooted tree alternative conjecture

Details A proof of the rooted tree alternative conjecture A proof of the rooted tree alternative conjecture

2008-12-05

arxiv.org/abs/0812.1121v1

Discrete Mathematics Volume 309, Issue 20, 28 October 2009, Pages 5963-5967

Mathematics

Combinatorics

Scientific paper

Bonato and Tardif conjectured that the number of isomorphism classes of trees
mutually embeddable with a given tree T is either 1 or infinite. We prove the
analogue of their conjecture for rooted trees. We also discuss the original
conjecture for locally finite trees and state some new conjectures.

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