Authors :
Chrisaria Palungan; Nurdin Hinding; Muhammad Zakir
Volume/Issue :
Volume 7 - 2022, Issue 12 - December
Google Scholar :
https://bit.ly/3IIfn9N
Scribd :
https://bit.ly/3ZEa3xS
DOI :
https://doi.org/10.5281/zenodo.7537942
Abstract :
A graph with an injective mapping from vertex
G to positive integers S such that two vertexes of G
adjacent if and only if sum of labels can be an element of
S. The aim of this research is to constructing exclusive sum
labeling on gear graphs and obtaining isolated vertex sums
for exclusive sum labeling on gear graphs. The data will be
categorized in exclusive sum labeling on gear graph by
Leonhard Euler. There are systematics in proving the
theorem will be presented in the following steps: Defining
labels for each vertex in a graph with adjacent sum of label
is the label of isolated vertex. Proving the isolated vertex
has obtained an optimal. This research conducted to find
the exclusive sum labeling on gear graph by producing the
optimal in exclusive sum labeling. In an exclusive addition
of the integers of S which is the sum of two other integers
of S can be labeling a set of isolated vertex which related to
G graph. This article can show the construction of
exclusive sum labeling on gear graphs.
Keywords :
Gear Graph, Sum Labeling, Exclusive Sum Labeling
A graph with an injective mapping from vertex
G to positive integers S such that two vertexes of G
adjacent if and only if sum of labels can be an element of
S. The aim of this research is to constructing exclusive sum
labeling on gear graphs and obtaining isolated vertex sums
for exclusive sum labeling on gear graphs. The data will be
categorized in exclusive sum labeling on gear graph by
Leonhard Euler. There are systematics in proving the
theorem will be presented in the following steps: Defining
labels for each vertex in a graph with adjacent sum of label
is the label of isolated vertex. Proving the isolated vertex
has obtained an optimal. This research conducted to find
the exclusive sum labeling on gear graph by producing the
optimal in exclusive sum labeling. In an exclusive addition
of the integers of S which is the sum of two other integers
of S can be labeling a set of isolated vertex which related to
G graph. This article can show the construction of
exclusive sum labeling on gear graphs.
Keywords :
Gear Graph, Sum Labeling, Exclusive Sum Labeling
