### Journals Information

Mathematics and Statistics Vol. 11(1), pp. 101 - 106
DOI: 10.13189/ms.2023.110111
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## The Locating Chromatic Number for Certain Operation of Origami Graphs

Asmiati 1,*, Agus Irawan 2, Aang Nuryaman 1, Kurnia Muludi 3
1 Department of Mathematics, Universitas Lampung, Bandar Lampung, Indonesia
2 Institut Bakti Nusantara, Pringsewu Lampung, Indonesia
3 Department of Computer Science, Universitas Lampung, Bandar Lampung, Indonesia

ABSTRACT

The locating chromatic number introduced by Chartrand et al. in 2002 is the marriage of the partition dimension and graph coloring. The locating chromatic number depends on the minimum number of colors used in the locating coloring and the different color codes in vertices on the graph. There is no algorithm or theorem to determine the locating chromatic number of any graph carried out for each graph class or the resulting graph operation. This research is the development of scientific theory with a focus of the study on developing new ideas to determine the extent to which the locating chromatic number of a graph increases when applied to other operations. The locating chromatic number of the origami graph was obtained. The next exciting thing to know is locating chromatic number for certain operation of origami graphs. This paper discusses locating chromatic number for specific operation of origami graphs. The method used in this study is to determine the upper and lower bound of the locating chromatic number for certain operation of origami graphs. The result obtained is an increase of one color in the locating chromatic number of origami graphs.

KEYWORDS
Locating Coloring, Locating Chromatic Number, Origami Graph, Certain Operation of Origami Graphs

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Asmiati , Agus Irawan , Aang Nuryaman , Kurnia Muludi , "The Locating Chromatic Number for Certain Operation of Origami Graphs," Mathematics and Statistics, Vol. 11, No. 1, pp. 101 - 106, 2023. DOI: 10.13189/ms.2023.110111.

(b). APA Format:
Asmiati , Agus Irawan , Aang Nuryaman , Kurnia Muludi (2023). The Locating Chromatic Number for Certain Operation of Origami Graphs. Mathematics and Statistics, 11(1), 101 - 106. DOI: 10.13189/ms.2023.110111.