LOCATING CHROMATIC NUMBER OF ONE-HEART GRAPH
DOI:
https://doi.org/10.25077/jmua.14.1.85-92.2025Keywords:
bilangan kromatik lokasi, graf sehati, pewarnaan lokasiAbstract
Bilangan kromatik lokasi merupakan konsep dari dimensi partisi graf dengan pewarnaan titik graf. Bilangan kromatik lokasi dari G, dinotasikan dengan χL(G) adalah jumlah warna minimum yang dipakai untuk pewarnaan lokasi. Dalam Artikel ini dijelaskan cara menentukan bilangan kromatik lokasi graf sehati. Metode yang dipakai agar diperolehnya bilangan kromatik lokasi graf sehati adalah dengan memperoleh nilai eksaknya. Hasil yang didapatkan dari bilangan kromatik lokasi graf sehati adalah χL(Hr_n)=4 untuk n=2 dan χL(Hr_n)=5 untuk n≥3.Downloads
References
Bondy, J. A., 1976, Graph Theory with Applications, North Holland
Chartrand, G., Erwin, D., Henning, M., Slater, P., Zhang, P., 2002, The Locating-Chromatic Number of a Graph, Bulletin of the Institute of Combinatorics and its Applications, Vol. 36
Harary, F., Melter, R.A., 1976, On the Metric Dimension of a Graph, Ars Combinatoria, Vol. 2: 191 – 195
Asmiati, 2017, Bilangan Kromatik Lokasi n Amalgamasi Bintang yang Dihubungkan Suatu Lintasan, Jurnal Matematika Integratif, Vol. 13, No. 2: 115 – 121
Welyyanti, D., Baskoro, E. T., Simajuntak, R., 2017, On The LocatingChromatic Number for Graphs with Two Homogenous Components, Journal of Physics: Conference Series, Vol. 893: 1 – 9
Pritama, S. L., Welyyanti, D., Narwen, 2019, Penentuan Bilangan Kromatik Lokasi pada Graf Tangga Segitiga Diperumum Tr_n untuk n=2 dan n=3, Jurnal Matematika UNAND, Vol. 8, No. 4: 54 – 61
Welyyanti, D., Effendi, E., Mei 2019, Bilangan Kromatik Lokasi pada Graf Prisma Berekor,Jurnal Matematika UNAND, Vol. 8, No. 1: 56 – 61
Nur, M., Welyyanti, D., Narwen, April 2020, Bilangan Kromatik Lokasi untuk Graf Pohon Pisang B_{n,k}, Jurnal Matematika UNAND, Vol.
, No. 2: 70 – 75
Mardimar, K. K., Yulianti, L., Welyyanti, D., Januari 2021, Bilangan kromatik lokasi dari Graf Buckmisterfullurene B60, Jurnal Matematika UNAND, Vol. 10, No. 1: 159 – 163
Welyyanti, D., Putri, S. R., Azhari, M., Lestari, R., 2021, On Locating Chromatic Number of Disconnected Graph with Path, Cycle, Stars or Double Stars as its Components, J. Phys. Conf, Vol. 1742, No. 1
Welyyanti, D., Apriliza, T., Yulianti, L., 2022, Bilangan Kromatik Lokasi pada Graf Lobster L_{n,m,1} untuk m=6 dan n=2,3,4, Jurnal Matematika Unand, Vol. 11, No. 2: 95 – 103
Welyyanti, D., Andriani, N., Yulianti, L., 2023, Bilangan Kromatik Kokasi pada Graf Amalgamasi Kipas Berekor, Limits: Journal of Mathematics and Its Applications, Vol. 20, No. 1: 81 – 95
Welyyanti, D., Susanto, D., Yulianti, L., 2024, On Locating Chromatic Number of Helm Graph Hrn for 10≤m≤28, Jurnal Natural, Vol. 24: 128 – 131
Atmadja, K., 2022, Pelabelan Harmonis pada Graf Sehati, Jurnal Ilmiah Matematika dan Terapan, Vol. 19, No. 1: 111 – 116
Welyyanti, D., Baskoro, E. T., Simanjuntak, R., Utunggadewa, S., 2015, The Locating-Chromatic Number For Graphs with Dominant Vertices, Procedia Computer Science, Vol. 74: 89 – 92
Downloads
Additional Files
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.



