2026-04-13T05:42:29Zhttps://recercat.cat/oai/requestoai:recercat.cat:10459.1/692002024-12-05T22:43:43Zcom_2072_3622col_2072_479130
RECERCAT
author
Dalfó, Cristina
author
Fiol Mora, Miguel Ángel
author
López Lorenzo, Ignacio
2024-12-05T22:43:43Z
2024-12-05T22:43:43Z
2020-07-02T09:19:36Z2021-06-07T22:26:28Z2020-06-062020-07-02T09:19:36Z
http://hdl.handle.net/10459.1/69200
Mixed graphs can be seen as digraphs that have both arcs and edges (or digons, that is, two opposite arcs). In this paper, we consider the case where such graphs are Cayley graphs of abelian groups. Such groups can be constructed using a generalization to Zn of the concept of congruence in Z. Here we use this approach to present some families of mixed graphs, which, for every fixed value of the degree, have an asymptotically large number of vertices as the diameter increases. In some cases, the results obtained are shown to be optimal.The research of C. Dalfó has also received funding from the European
Union’s Horizon 2020 research and innovation programme under the Marie
Sklodowska-Curie Grant agreement no. 734922.
(c) Springer Nature Switzerland AG, 2020 info:eu-repo/semantics/openAccess
Mixed graph
Moore bound
Abelian group
Congruences in Zn
New Moore-Like Bounds and Some Optimal Families of Abelian Cayley Mixed Graphs
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion