A note on the independence number, domination number and related parameters of random binary search trees and random recursive trees
Probability
2020-02-12 v2 Combinatorics
Abstract
We identify the mean growth of the independence number of random binary search trees and random recursive trees and show normal fluctuations around their means. Similarly we also show normal limit laws for the domination number and variations of it for these two cases of random tree models. Our results are an application of a recent general theorem of Holmgren and Janson on fringe trees in these two random tree models.
Keywords
Cite
@article{arxiv.1909.12767,
title = {A note on the independence number, domination number and related parameters of random binary search trees and random recursive trees},
author = {Michael Fuchs and Cecilia Holmgren and Dieter Mitsche and Ralph Neininger},
journal= {arXiv preprint arXiv:1909.12767},
year = {2020}
}