Summary: Let \(A\) be a basic, connected finite-dimensional algebra over an algebraically closed field with finite representation type, \(\alpha(A)\) be the maximum of the set consisting of numbers of indecomposable summands in the middle term of Auslander-Reiten sequences in \(\text{mod }A\). In this paper, we show that if \(\alpha(A)=1\), then \(\Gamma_A\) contains oriented cycles if and only if \(\Gamma_A\) contains DTr-periodic modules. When \(\alpha(A)\geq 2\) we give counterexamples to the assertion.