%0 Journal Article %T A quadratic kernel for computing the hybridization number of multiple trees %A Leo van Iersel %A Simone Linz %J Quantitative Biology %D 2012 %I arXiv %X It has recently been shown that the NP-hard problem of calculating the minimum number of hybridization events that is needed to explain a set of rooted binary phylogenetic trees by means of a hybridization network is fixed-parameter tractable if an instance of the problem consists of precisely two such trees. In this paper, we show that this problem remains fixed-parameter tractable for an arbitrarily large set of rooted binary phylogenetic trees. In particular, we present a quadratic kernel. %U http://arxiv.org/abs/1203.4067v1