  We study the outer automorphism group of a right-angled Artin group A_G in
the case where the defining graph G is connected and triangle-free. We give an
algebraic description of Out(A_G) in terms of maximal join subgraphs in G and
prove that the Tits' alternative holds for Out(A_G). We construct an analogue
of outer space for Out(A_G) and prove that it is finite dimensional,
contractible, and has a proper action of Out(A_G). We show that Out(A_G) has
finite virtual cohomological dimension, give upper and lower bounds on this
dimension and construct a spine for outer space realizing the most general
upper bound.
