doi:10.1007/s10801-018-0854-yengAramayona, J.Fernández, J.L.Fernández, P.Martínez-Pérez, C.Trees, homology, and automorphism groups of right-angled Artin groupsART-2019-109558We study the homology of an explicit finite-index subgroup of the automorphism group of a partially commutative group, in the case when its defining graph is a tree. More concretely, we give a lower bound on the first Betti number of this subgroup, based on the number and degree of a certain type of vertices, which we call deep. We then use combinatorial methods to analyze the average value of this Betti number, in terms of the size of the defining tree.2019http://zaguan.unizar.es/record/8432010.1007/s10801-018-0854-yhttp://zaguan.unizar.es/record/84320oai:zaguan.unizar.es:84320info:eu-repo/grantAgreement/ES/DGA/European Regional Development Fundsinfo:eu-repo/grantAgreement/ES/MINECO/MTM2015-67781JOURNAL OF ALGEBRAIC COMBINATORICS 50, 3 (2019), 293-315All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess