Aliste Prieto, JoséZamora, José2013-10-222016-05-252013-10-222016-05-252012arXiv:1208.2267v1 [math.CO] 10 Aug 2012.http://repositorio.unab.cl/xmlui/handle/ria/1928Abstract. This paper deals with the so-called Stanley conjecture, which asks whether they are non-isomorphic trees with the same symmetric function generalization of the chromatic polynomial. By establishing a correspondence between caterpillars trees and integer compositions, we prove that caterpillars in a large class (we call trees in this class proper) have the same symmetric chromatic function generalization of the chromatic polynomial if and only if they are isomorphic.enStanley conjectureConjetura de StanleyCaterpillarsOrugasFunción cromáticaArtículo