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Algebraic degrees of $n$-Cayley digraphs over abelian groups

Combinatorics 2024-01-17 v1

Abstract

A digraph is called an nn-Cayley digraph if its automorphism group has an nn-orbit semiregular subgroup. We determine the splitting fields of nn-Cayley digraphs over abelian groups and compute a bound on their algebraic degrees, before applying our results on Cayley digraphs over non-abelian groups.

Keywords

Cite

@article{arxiv.2401.07073,
  title  = {Algebraic degrees of $n$-Cayley digraphs over abelian groups},
  author = {Hao Li and Xiaogang Liu},
  journal= {arXiv preprint arXiv:2401.07073},
  year   = {2024}
}