Circulant Digraphs Integral over Number Fields
Number Theory
2022-06-17 v1 Combinatorics
Abstract
A number field K is a finite extension of rational number field Q. A circulant digraph integral over K means that all its eigenvalues are algebraic integers of K. In this paper we give the sufficient and necessary condition for circulant digraphs which are integral over a number field K. And we solve the Conjecture3.3 in [XM] and find it is affirmative.
Cite
@article{arxiv.1201.0798,
title = {Circulant Digraphs Integral over Number Fields},
author = {Fei Li},
journal= {arXiv preprint arXiv:1201.0798},
year = {2022}
}
Comments
7 pages