Integral Cayley Sum Graphs and Groups

Xuanlong 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 -