Integral Cayley Sum Graphs and Groups

• Autorzy: Xuanlong Ma , Kaishun Wang
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Cayley sum graph; integral graph; Cayley sum integral group

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2016
• Tom: 36
• Numer: 4
• Strony: 797-803

Daty

wydano

2016-11-01

otrzymano

2015-01-06

poprawiono

2015-10-12

zaakceptowano

2015-11-27

online

2016-10-21

Twórcy

autor

Xuanlong Ma

• College of Mathematics and Information Science, Guangxi University, Nanning 530004, China
• Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University Beijing 100875,

autor

Kaishun Wang

• Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875,

Identyfikatory

DOI

10.7151/dmgt.1886