Implementasi Algoritma Sequential dan Welch Powell pada pewarnaan graf (studi kasus pewarnaan peta kota Makassar)

Abstract

The aim of this research is how to implement Sequential algorithm and Welch Powell algorithm on graph coloring, especially on Makassar city map coloring. The research method used was a case study aimed at searching information in the form of a map of Makassar city. The first step is to take a colored map of Makassar city at the Dinas tata ruang kota makassar, then redraw it with the help of Corel Draw X7 software, so there are no colors. The next step is to represent the map in graph form by taking the region (sub-district) as a node and then doing graph coloring using Sequential algorithm and Welch Powell algorithm. The results of coloring the Makassar city map using Sequential algorithm and Welch Powell algorithm, both produce chromatic numbers χ (G) = 4 or the number of colors produced to color a graph there are 4 colors. The colors used are red, yellow, green and blue. Then from the results of coloring this graph can easily be applied to color the map of the city of Makassar based on the coloring requirements obtained. Because it has the same chromatic numbers, it can be concluded that the Sequential algorithm is no better than the Welch Powell algorithm, or vice versa the Welch Powell algorithm is no better than the Sequential algorithm for the case of coloring the Makassar city map. The previous Makassar city map coloring or without the algorithm, produces chromatic numbers χ (G) = 12 or the number of colors produced to color a graph there are 12 colors. So that the two algorithms are much better at coloring than the previous Makassar city map coloring or without the algorithm