We introduce a special kind of partial sum families, which we call equisizable partial sum families, that can be used to obtain directed strongly regular graphs admitting a semiregular group of automorphisms. We give a construction of an infinite family of equisizable partial sum families depending on two parameters that produce directed strongly regular graphs with new parameters. We also determine the automorphisms group of the associated directed strongly regular graphs in terms of the parameters.

中文翻译：

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可均衡的部分和家庭

我们介绍了一种特殊的部分和族，我们称其为可等分的部分和族，可用于获得有向半正则图，该图允许半同构的同构群。我们根据两个参数给出无限可均衡的部分和族的族的构造，这两个参数会产生带有新参数的有向正则图。我们还根据参数确定了相关的有向正则图的自同构群。