English

A method to determine algebraically integral Cayley digraphs on finite Abelian group

Combinatorics 2020-09-22 v2

Abstract

Researchers in the past have studied eigenvalues of Cayley digraphs or graphs. We are interested in characterizing Cayley digraphs on a finite Abelian group G whose eigenvalues are algebraic integers in a given number field K. And we succeed in finding a method to do so by proving Theorem 1. Also, the number of such Cayley digraphs is computed.

Keywords

Cite

@article{arxiv.1206.0799,
  title  = {A method to determine algebraically integral Cayley digraphs on finite Abelian group},
  author = {Fei Li},
  journal= {arXiv preprint arXiv:1206.0799},
  year   = {2020}
}

Comments

9 pages

R2 v1 2026-06-21T21:14:14.090Z