Geodesic
Integral Cayley Sum Graphs and Groups
Discussiones Mathematicae. Graph Theory, Tome 36 (2016) no. 4, pp. 797-803

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For any positive integer k, let k denote the set of finite abelian groups G such that for any subgroup H of G all Cayley sum graphs CayS(H, S) are integral if |S| = k. A finite abelian group G is called Cayley sum integral if for any subgroup H of G all Cayley sum graphs on H are integral. In this paper, the classes 2 and 3 are classified. As an application, we determine all finite Cayley sum integral groups.
Keywords: Cayley sum graph, integral graph, Cayley sum integral group 
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Ma, Xuanlong; Wang, Kaishun. Integral Cayley Sum Graphs and Groups. Discussiones Mathematicae. Graph Theory, Tome 36 (2016) no. 4, pp. 797-803. http://geodesic.mathdoc.fr/item/DMGT_2016_36_4_a1/