Equisizable partial sum families

Abstract 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...

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Bibliographic Details
Main Authors: Grande, Ricardo, Kovács, István, Kutnar, Klavdija, Malnič, Aleksander, Martínez, Luis, Marušič, Dragan
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2021
Online Access:https://hdl.handle.net/1721.1/131495
Description
Summary:Abstract 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.