@article{2414a89ccb9a4afda6857be27570e018,
title = "On a conjecture of Nikiforov involving a spectral radius condition for a graph to contain all trees",
abstract = "We partly confirm a Brualdi-Solheid-Tur{\'a}n type conjecture due to Nikiforov, which is a spectral radius analogue of the well-known Erd{\H o}s-S{\'o}s Conjecture that any tree of order t is contained in a graph of average degree greater than t−2. We confirm Nikiforov's Conjecture for all brooms and for a larger class of spiders. For our proofs we also obtain a new Tur{\'a}n type result which might turn out to be of independent interest.",
keywords = "Broom, Brualdi-Solheid-Tur{\'a}n type problem, Spectral radius, Spider",
author = "Xiangxiang Liu and Hajo Broersma and Ligong Wang",
note = "Publisher Copyright: {\textcopyright} 2022 The Author(s)",
year = "2022",
month = dec,
doi = "10.1016/j.disc.2022.113112",
language = "英语",
volume = "345",
journal = "Discrete Mathematics",
issn = "0012-365X",
publisher = "Elsevier B.V.",
number = "12",
}