Let a k-dimensional torus act on a 2n-dimensional compact connected almost complex manifold M with isolated fixed points. There is a multigraph that contains information on weights at the fixed points and isotropy submanifolds. If k=n, that is, M is an almost complex torus manifold, the multigraph is a graph; it has no multiple edges. For an almost complex torus manifold, the coefficients of its Hirzebruch genus are non-zero. Using these ideas, we show that if k=n and there are n+1 fixed points, many invariants of M agree with those of a linear action on the complex projective space; if in addition the action is equivariantly formal, their equivariant cohomologies also agree.
