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arXiv · 1206.0799

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

Fei Li
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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.

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Fei Li. 2018-04-29. A method to determine algebraically integral Cayley digraphs on finite Abelian group. https://doi.org/10.11575/cdm.v15i2.62327

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