Equisizable partial sum families
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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.
KeywordsDirected strongly regular graphs Groups of automorphisms Partial sum families
We would like to thank the anonymous referees for valuable comments and suggestions.