Integral Cayley sum graphs and groups | Zendy

Xuanlong Ma | Zendy; Kaishun Wang | Zendy

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Integral Cayley sum graphs and groups

Author(s) -

Xuanlong Ma,

Kaishun Wang

Publication year - 2016

Publication title -

discussiones mathematicae graph theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.476

H-Index - 19

eISSN - 2083-5892

pISSN - 1234-3099

DOI - 10.7151/dmgt.1886

Subject(s) - cayley graph , mathematics , cayley transform , abelian group , combinatorics , cayley's theorem , generating set of a group , integral graph , vertex transitive graph , integer (computer science) , group (periodic table) , discrete mathematics , graph , physics , computer science , voltage graph , line graph , geometry , quantum mechanics , programming language

For any positive integer k, let Ak 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 A2 and A3 are classified. As an application, we determine all finite Cayley sum integral groups

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