Geodesic
Construction of infinite families of vertex-transitive directed strongly regular graphs
Maria Asuncion García1 ; Klavdija Kutnar2 ; Aleksander Malnič2 ; Luis Martínez1 ; Dragan Marušič2 ; Juan Manuel Montoya3 ; Maria Asuncion García ; Klavdija Kutnar ; Aleksander Malnič ; Luis Martínez ; Dragan Marušič ; Juan Manuel Montoya
1Department of Mathematics, University of the Basque Country, Spain
2University of Primorska, Koper, Slovenia
3Department of Mathematics, University of Pamplona, Colombia
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 2, pp. 319-327 
Maria Asuncion García; Klavdija Kutnar; Aleksander Malnič; Luis Martínez; Dragan Marušič; Juan Manuel Montoya; Maria Asuncion García; Klavdija Kutnar; Aleksander Malnič; Luis Martínez; Dragan Marušič; Juan Manuel Montoya. Construction of infinite families of vertex-transitive directed strongly regular graphs. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 2, pp. 319-327. http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a11/
@article{AMUC_2019_88_2_a11,
     author = {Maria Asuncion Garc{\'\i}a and Klavdija Kutnar and Aleksander Malni\v{c} and Luis Mart{\'\i}nez and Dragan Maru\v{s}i\v{c} and Juan Manuel Montoya and Maria Asuncion Garc{\'\i}a and Klavdija Kutnar and Aleksander Malni\v{c} and Luis Mart{\'\i}nez and Dragan Maru\v{s}i\v{c} and Juan Manuel Montoya},
     title = { Construction of infinite families of vertex-transitive directed strongly regular graphs},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {319--327},
     year = {2019},
     volume = {88},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a11/}
}
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AU  - Dragan Marušič
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AU  - Maria Asuncion García
AU  - Klavdija Kutnar
AU  - Aleksander Malnič
AU  - Luis Martínez
AU  - Dragan Marušič
AU  - Juan Manuel Montoya
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%A Dragan Marušič
%A Juan Manuel Montoya
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%A Klavdija Kutnar
%A Aleksander Malnič
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Voir la notice de l'article provenant de la source Comenius University

We introduce an innite family of permutation groups, which are the complete automor-phism groups of two dierent families of directed strongly regular graphs. For both families,there is a cyclic subgroup of the permutation group which acts semiregularly on the set of vertices of the directed graph and has two orbits. One of the two series gives an innite number ofdirected strongly regular graphs admitting a cyclic semiregular automorphism group with anstructure and an automorphism group for which only three sporadic examples were previouslyknown.