ALGORITMA GREEDY COLORING PADA WEBSITE ENSIKLOPEDIA PETA

Ibnu Aldi Nugroho
orcid
Nasional University
Indonesia
Fauziah Fauziah
Nasional University
Indonesia
Nur Hayati
Nasional University
Indonesia

Abstract

Graph coloring is used, because the results of graph coloring can be used in several systems, such as the scheduling and the coloring of map areas in this study. The goal in implementing graph coloring here is to get as few colors as possible in the 44 borders of villages in Jakarta Pusat. The problem of coloring graphs on the Jakarta Pusatโ€™s villages map uses a greedy algorithm that exists on web-based maps and makes encyclopedias to support descriptions of areas that have been colored. The greedy algorithm is a form of algorithm that is currently developing in optimization problems by forming a step-by-step solution. Greedy algorithm can be applied to resolve the problem of graph coloring. The best solution to answer a graph coloring problem is to determine the chromatic number ๐œ’(๐บ) using the greedy algorithm. Graph coloring on a map is done using a greedy algorithm to obtain the minimum number of colors possible without adjacent regions using the same color. Based on the research results, the least number of colors used in coloring the village map in Central Jakarta, which consists of 44 areas, is 6 types of colors.

Keywords
Greedy Algorithm; Greedy Coloring Algorithm; Geographic Information System; Mapbox
References

Angelina, C., Koban, N., & Nudin, S. R. (2020). Penerapan Graph Coloring Menggunakan Algoritma

Greedy Pada Aplikasi Pemesanan Tiket Kapal Penyeberangan. Journal of Informatics and

Computer Science, 02.

Dhulipala, L., Blelloch, G. E., & Shun, J. (2021). Theoretically Efficient Parallel Graph Algorithms Can Be

Fast and Scalable. ACM Transactions on Parallel Computing, 8(1).

https://doi.org/10.1145/3434393

Fakhri, M. Y., Harahap, E., & Badruzzaman, F. H. (2021). Implementasi Algoritma Welch-Powell pada

Pengaturan Lampu Lalu Lintas Pasteur Bandung. Jurnal Riset Matematika, 1(2), 91โ€“98.

https://doi.org/10.29313/jrm.v1i2.365

Irsal, K. (n.d.). PEWARNAAN GRAF PADA PETA MENGGUNAKAN ALGORITMA GREEDY (Studi Kasus :

Peta Provinsi DKI Jakarta).

Kumar Gupta, S., Singh, G. &, Gupta, S., & Singh, D. P. (2020). Greedy Graph Coloring Algorithm Based

on Depth First Search. International Journal on Emerging Technologies, 11(2), 854โ€“862.

https://www.researchgate.net/publication/341371807

Marappan, R., & Sethumadhavan, G. (2020). Complexity analysis and stochastic convergence of some

well-known evolutionary operators for solving graph coloring problem. Mathematics, 3.

https://doi.org/10.3390/math8030303

Slamin, S., Adiwijaya, N. O., Hasan, M. A., Dafik, D., & Wijaya, K. (2020). Local super antimagic total

labeling for vertex coloring of graphs. Symmetry, 12(11), 1โ€“17.

https://doi.org/10.3390/sym12111843

Sopiyan, M., Gunaryati, A., & Fitri, I. (2022). Graph coloring Sistem Pendaftaran dan Proses

Penjadwalan Data Instruktur Berbasis Web dengan Algoritma Welch-powell. Jurnal Teknologi

Informasi Dan Komunikasi), 6(1), 2022. https://doi.org/10.35870/jti

Surbakti, N. M., & Ramadhani, F. (2022). Implementation of the Greedy Algorithm for Coloring Graph

Based on Four-Color Theorem. Sudo Jurnal Teknik Informatika, 1(4), 178โ€“182.

https://doi.org/10.56211/sudo.v1i4.157

Tian, Y., Khosoussi, K., Rosen, D. M., & How, J. P. (2021). Distributed Certifiably Correct Pose-Graph

Optimization. IEEE Transactions on Robotics, 37(6), 2137โ€“2156.

https://doi.org/10.1109/TRO.2021.3072346

Wang, Y., Cai, S., Pan, S., Li, X., & Yin, M. (n.d.). Reduction and Local Search for Weighted Graph

Coloring Problem. www.aaai.org

Information
PDF
66 times PDF : 55 times