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math.CO2026
Enumeration of small vertex-transitive directed strongly regular graphs
A. E. Brouwer, Š. Gyürki
We find the 728 vertex-transitive directed strongly regular graphs with parameters where and and . A table with parameters and a…
math.CO2026
An infinite family of intransitive directed strongly regular graphs with rank 6 Weisfeiler--Leman closure
Štefan Gyürki
We construct an infinite family of directed strongly regular graphs (DSRGs) with intransitive full automorphism groups whose Weisfeiler--Leman closure are association schemes of ra…
math.CO2026
Directed strongly regular graphs from groups, loops and quasigroups
Štefan Gyürki, Mikhail Klin
We introduce four infinite families of directed strongly regular graphs of orders and . The constructions are described in terms of groups, quasigroups, loops and thei…