# Integral Cayley Sum Graphs and Groups

Discussiones Mathematicae Graph Theory (2016)

- Volume: 36, Issue: 4, page 797-803
- ISSN: 2083-5892

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topXuanlong Ma, and Kaishun Wang. "Integral Cayley Sum Graphs and Groups." Discussiones Mathematicae Graph Theory 36.4 (2016): 797-803. <http://eudml.org/doc/287060>.

@article{XuanlongMa2016,

abstract = {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.},

author = {Xuanlong Ma, Kaishun Wang},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {Cayley sum graph; integral graph; Cayley sum integral group},

language = {eng},

number = {4},

pages = {797-803},

title = {Integral Cayley Sum Graphs and Groups},

url = {http://eudml.org/doc/287060},

volume = {36},

year = {2016},

}

TY - JOUR

AU - Xuanlong Ma

AU - Kaishun Wang

TI - Integral Cayley Sum Graphs and Groups

JO - Discussiones Mathematicae Graph Theory

PY - 2016

VL - 36

IS - 4

SP - 797

EP - 803

AB - 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.

LA - eng

KW - Cayley sum graph; integral graph; Cayley sum integral group

UR - http://eudml.org/doc/287060

ER -

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