Circulant Digraphs Integral over Number Fields

Details Circulant Digraphs Integral over Number Fields Circulant Digraphs Integral over Number Fields

2012-01-04

arxiv.org/abs/1201.0798v1

Mathematics

Number Theory

7 pages

Scientific paper

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.

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