The Igusa-Todorov $\phi$ function for truncated path algebras

For a finite dimensional algebra $A$ with $0 < \phi \dim (A) = m < \infty$ we prove that there always exist modules $M$ and $N$ such that $\phi(M) = m-1$ and $\phi (N) = 1$. On the other hand, we see that not every value between $1$ and $m-1$ will be reached by $\phi$. Also we prove that for $B$ a truncated path algebra $\phi \dim B = \phi \dim B^{op}$. And compute, when $Q$ has no sources nor sinks, the $\phi$-dimension of $B$ in function of the $\phi$-dimension of the radical square zero algebra with the same associated quiver.