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- W2036692318 abstract "We consider directed strongly regular graphs defined in 1988 by Duval. All such graphs with n vertices, n ⩽20, having a vertex-transitive automorphism group, are determined with the aid of a computer. As a consequence, we prove the existence of directed strongly regular graphs for three feasible parameter sets listed by Duval. For one parameter set a computer-free proof of the nonexistence is presented. This, together with a recent result by J ø rgensen, gives a complete answer on Duval's question about the existence of directed strongly regular graphs with n ⩽20. The paper includes catalogues of all generated graphs and certain theoretical generalizations based on some known and new graphs." @default.
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- W2036692318 date "2002-08-01" @default.
- W2036692318 modified "2023-09-27" @default.
- W2036692318 title "Small vertex-transitive directed strongly regular graphs" @default.
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- W2036692318 doi "https://doi.org/10.1016/s0012-365x(01)00391-0" @default.
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