We study the space of derivations for some finite-dimensional evolution algebras, depending on the twin partition of an associated directed graph. For evolution algebras with a twin-free associated graph, we prove that the space of derivations is zero. For the remaining families of evolution algebras, we obtain sufficient conditions under which the study of such a space can be simplified. We accomplish this task by identifying the null entries of the respective derivation matrix. Our results suggest how strongly the associated graph’s structure impacts in the characterization of derivations for a given evolution algebra. Therefore, our approach constitutes an alternative to the recent developments in the research of this subject. As an illustration of the applicability of our results, we provide some examples and we exhibit the classification of the derivations for non-degenerate irreducible three-dimensional evolution algebras.

我们研究了一些有限维演化代数的导数空间，具体取决于相关有向图的孪生分区。对于具有双无关联图的演化代数，我们证明了导数空间为零。对于其余的演化代数族，我们获得了可以简化这种空间研究的充分条件。我们通过识别各个派生矩阵的空条目来完成此任务。我们的结果表明，对于给定的演化代数，关联图的结构对衍生特征的影响有多强。因此，我们的方法构成了该主题研究的最新发展的替代方案。为了说明我们的结果的适用性，