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.

Equisizable partial sum families / Grande Izquierdo, R; Kovács, I; Kutnar, K; Malnic, A; Martínez, L; Marusic, D. - In: JOURNAL OF ALGEBRAIC COMBINATORICS. - ISSN 0925-9899. - 51:2(2020), pp. 273-296. [10.1007/s10801-019-00875-w]

Equisizable partial sum families

Grande Izquierdo, R;
2020-01-01

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.
2020
51
2
273
296
https://link.springer.com/article/10.1007/s10801-019-00875-w#citeas
Grande Izquierdo, R; Kovács, I; Kutnar, K; Malnic, A; Martínez, L; Marusic, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/135452
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