International Journal of Applied Mathematics and Machine LearningAuthor's: Tian-Rui Ye and Haiying Wang
Pages: [1] - [4]
Received Date: August 15, 2020
Submitted by: Professor Haitao Xu
DOI: http://dx.doi.org/10.18642/ijamml_7100122153
Let 
be a simple graph and 
be the set of all integers. An integral sum
graph of a set 
of integers as the graph 
having as its vertex set, with two vertices adjacent
whenever their sum is in 
A graph so obtained is called an integral sum graph. In
other words, an integral sum graph of a finite subset 
is the graph 
with 
if and only if 
And is called an integral sum labelling of
In the paper, many obtained conclusions are
summarized and relevant open problem is raised.
sum graph, integral sum graph, integral sum labelling.
