research-article

Implementing Welsh-Powell Algorithm on Coloring the Map of West Java

Authors:

Dimas Dani Zaini,

Howsen Vincensius,

Kevin Aurelian Nathanielle Untung Widjaja,

Alif Tri HandoyoAuthors Info & Claims

SIET '23: Proceedings of the 8th International Conference on Sustainable Information Engineering and Technology

Pages 679 - 684

https://doi.org/10.1145/3626641.3627210

Published: 27 December 2023 Publication History

Abstract

Graph Theory is a very complex and difficult mathematical problem, with Graph Coloring as one of its most studied problem. Graph Coloring itself is an implementation of Graph Theory, where there can’t be neighboring vertexes that share the same color. At the same time, the aim of Graph Coloring is to have the least color used (Chromatic Number) to color the vertexes in a graph, while there can’t be any neighboring vertexes that have the same color. In this paper, we’re experimenting on one of the Graph Coloring implementations, which is Map Coloring. We’re experimenting on the usage of Welsh-Powell Algorithm, an algorithm deemed suitable for Scheduling, another implementation of Graph Coloring, and see if this algorithm is also suitable and usable for Map Coloring. By using the map of West Java as our dataset and converting it to a graph and then to a matrix, we obtained a result in the shape of a colored map. Our result proves that Welsh-Powell algorithm is indeed suitable and usable, providing a satisfactory output where it’s uncomplicated to observe and the limits of areas (districts and cities) are clearly visible. In addition to that, Welsh-Powell Algorithm managed to perform better than the Greedy Algorithm from similar research, resulting a map with the same Chromatic Number as a map with lesser vertices colored by the Greedy Algorithm.

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Cited By

Xu JSun L(2024)Research and Analysis of Artificial Intelligence Algorithms for Solving Graph Coloring ProblemsProceedings of the 2024 8th International Conference on Big Data and Internet of Things10.1145/3697355.3697418(382-386)Online publication date: 14-Sep-2024
https://dl.acm.org/doi/10.1145/3697355.3697418

Index Terms

Implementing Welsh-Powell Algorithm on Coloring the Map of West Java
1. Mathematics of computing
  1. Discrete mathematics
    1. Graph theory
      1. Graph algorithms
2. Software and its engineering

Index terms have been assigned to the content through auto-classification.

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SIET '23: Proceedings of the 8th International Conference on Sustainable Information Engineering and Technology

October 2023

722 pages

ISBN:9798400708503

DOI:10.1145/3626641

Copyright © 2023 ACM.

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Published: 27 December 2023

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SIET 2023

SIET 2023: International Conference on Sustainable Information Engineering and Technology

October 24 - 25, 2023

Badung, Bali, Indonesia

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Cited By

Xu JSun L(2024)Research and Analysis of Artificial Intelligence Algorithms for Solving Graph Coloring ProblemsProceedings of the 2024 8th International Conference on Big Data and Internet of Things10.1145/3697355.3697418(382-386)Online publication date: 14-Sep-2024
https://dl.acm.org/doi/10.1145/3697355.3697418

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