APLIKASI ALGORITMA GREEDY UNTUK PEWARNAAN WILAYAH PADA PETA KOTA PADANG BERBASIS TEOREMA EMPAT WARNA
DOI:
https://doi.org/10.25077/jmu.9.4.294-301.2020Abstract
. Kecamatan-kecamatan pada peta kota Padang diwarnai dengan menggunakan algoritma Greedy. Pewarnaan wilayah yang mengasumsikan sebuah kecamatan sebagai simpul dan sisi sebagai penghubung antar kecamatan yang bertetangga tersebut, menggunakan teorema empat warna yang menyatakan banyak warna minimum yang akan digunakan dalam mewarnai peta. Sebelum algoritma Greedy digunakan, graf dual peta tersebut dikonstruksi dan derajat tiap simpul ditentukan. Pada penggunaan algoritma Greedy, himpunan kandidat warna dan inisialisasi solusi dibuat. Selanjutnya, dilakukan pewarnaan pertama kali untuk simpul dengan derajat terbesar, dengan cara memilih secara sebarang warna pada himpunan kandidat. Kemudian, periksa kelayakan dari warna dengan menggunakan prinsip bahwa dua simpul yang bertetangga tidak boleh memiliki warna yang sama. Warna yang dihasilkan kemudian merupakan elemen dari himpunan solusi. Proses pewarnaan tersebut diulangi hingga semua wilayah kecamatan pada peta tersebut diwarnai.
Kata Kunci: Algoritma Greedy, Pewarnaan Wilayah, Teorema Empat Warna.
Downloads
Downloads
Published
How to Cite
Issue
Section
License
All articles published in Jurnal Matematika UNAND (JMUA) are open access and licensed under the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0). This license allows published content to be freely accessed, shared, redistributed, and adapted for any purpose, including commercial use, provided that the applicable license conditions are followed.
Copyright Holder
The copyright of articles published in Jurnal Matematika UNAND is held by the Departemen Matematika dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA), Universitas Andalas (UNAND), in accordance with the journal's stated copyright policy.
Author Rights
Under the CC BY-SA 4.0 license, authors may share, distribute, and reuse their published articles, subject to the applicable license conditions. These rights include:
-
Self-Archiving: Authors may deposit their published articles in institutional repositories, personal websites, or academic platforms.
-
Reuse: Authors may reuse their published work in subsequent publications, research, teaching materials, or other lawful purposes, provided that appropriate attribution is maintained.
-
Distribution: Authors may share and distribute their published articles without requiring additional permission under the terms of the license.
Creative Commons License (CC BY-SA 4.0)
Under the CC BY-SA 4.0 license, users are free to:
-
Share: Copy and redistribute the material in any medium or format.
-
Adapt: Remix, transform, and build upon the material for any purpose, including commercial purposes.
These permissions are subject to the following conditions:
-
Attribution: Users must give appropriate credit to the original author(s), retain relevant copyright notices, provide a link to the license, and indicate if changes were made. Attribution must not imply endorsement by the author(s), copyright holder, or journal.
-
ShareAlike: If users remix, transform, or build upon the material, they must distribute their contributions under the same CC BY-SA 4.0 license or a compatible license.
-
No Additional Restrictions: Users may not apply legal terms or technological measures that legally restrict others from exercising the rights granted by the license.
For more information about the CC BY-SA 4.0 license, please visit:
https://creativecommons.org/licenses/by-sa/4.0/
Third-Party Content
Third-party materials, including figures, tables, photographs, and illustrations, are covered by the article's CC BY-SA 4.0 license only when their inclusion under that license is authorized.
Materials excluded from the license must be clearly identified with appropriate copyright notices and attribution. Authors are responsible for obtaining any necessary permissions, while users must comply with the applicable licensing terms or permissions when reusing excluded materials.
Copyright and Licensing Information
Copyright and licensing information should be clearly displayed on each published article's landing page and included in the full-text versions (HTML and PDF), where applicable, to ensure transparency regarding copyright ownership and permitted reuse.
