2026-04-13T06:46:54Zhttps://recercat.cat/oai/request

oai:recercat.cat:10459.1/692002024-12-05T22:43:43Zcom_2072_3622col_2072_479130

00925njm 22002777a 4500 dc Dalfó, Cristina author Fiol Mora, Miguel Ángel author López Lorenzo, Ignacio author 2020-07-02T09:19:36Z 2021-06-07T22:26:28Z 2020-06-06 2020-07-02T09:19:36Z 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. http://hdl.handle.net/10459.1/69200 Mixed graph Moore bound Abelian group Congruences in Zn New Moore-Like Bounds and Some Optimal Families of Abelian Cayley Mixed Graphs