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All Journal Statistika JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Informatika Mulawarman: Jurnal Ilmiah Ilmu Komputer BAREKENG: Jurnal Ilmu Matematika dan Terapan SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan Variance : Journal of Statistics and Its Applications Journal of Mathematics Education and Science Jurnal Pengabdian Masyarakat Indonesia MATHunesa: Jurnal Ilmiah Matematika Journal of Social Outreach Journal of Research Applications in Community Services Basis : Jurnal Ilmiah Matematika Teknikom: Teknologi Informasi, Ilmu Komputer dan Manajemen Eksponensial Georeference: Jurnal Kajian Ilmu dan Pembelajaran Geografi JMT (Jurnal Matematika dan Terapan) MILANG Journal of Mathematics and Its Applications
Fidia Deny Tisna Amijaya
Program Studi Matematika, Jurusan Matematika, FMIPA, Universitas Mulawarman
Religion Agriculture, Biological Sciences & Forestry Arts Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Energy Engineering Environmental Science Health Professions Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Mechanical Engineering Medicine & Pharmacology Nursing Physics Public Health Social Sciences Transportation Other

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Journal : Journal of Mathematics Education and Science

 1 
Graph Coloring on the Primary Dryland Forest Cover Map of Kalimantan Using the Greedy Algorithm Izzaty Farha; Putri Pita Mutia; Rachel Cornelia Simanjuntak; Desi Febriani Putri; Fidia Deny Tisna Amijaya
Journal of Mathematics Education and Science Vol. 8 No. 2 (2025): Journal of Mathematics Education and Science
Publisher : Universitas Nahdlatul Ulama Sunan Giri Bojonegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32665/james.v8i2.4628

Abstract

In graph theory, graph coloring is a popular approach, including in map creation, and this study aims to apply the Greedy algorithm to color forest land-cover maps while ensuring that adjacent areas do not share the same color. The data used consist of land-cover classification maps and the relationships between regions represented as planar graphs. The Greedy algorithm is implemented by arranging nodes based on their highest degrees and then coloring them sequentially. The coloring results show that the algorithm can provide an efficient solution with a minimum number of colors according to the upper bound of graph coloring, particularly for primary dry forest land-cover maps in East Kalimantan Province, achieving a chromatic number χ(G) = 4, ensuring no neighboring areas share the same color. Although it does not always yield an optimal solution, the algorithm proves effective, simple, and applicable to various other uses such as spatial analysis, regional clustering, or geographic information systems. The novelty of this study lies in its application to primary dry forests in Kalimantan, which have been rarely explored, and its contribution to spatial analysis and conservation efforts.
Co-Authors A'yun, Qonita Qurrota A’yun, Qonita Qurrota Adawiyah, Rabbiatul Adhitya Ronnie Effendie, Adhitya Ronnie Akbar Rizky Wardani Aminah, Esse Andri Azmul Fauzi Anitasari, Zindy Ardyanti, Hesti Asmaidi Asmaidi Asmaidi Auliya Rahman Ayu Wulandari A’yun, Qonita Qurrota Bayu Iswahyudi Noor Br Tarigan, Agnes Janitarian Cahyadi, Aldy Fradana Mahaputra Clemensius Arles Dala, Maria Alensia Deltin Dani, Andrea Tri Rian David Siahaan Desi Febriani Putri Desi Febriani Putri Dewi Erla Mahmudah Dewi Erla Mahmudah, Dewi Erla Dimas Raditya Dimas Raditya Sahputra Dwi Indra Yunistya Dyah Arumatica Novilla Elvita, Melati Erlina Erlina Fahreza, Ilham Fahrezi, Korompot Naufal Farha, Izzaty Fauzi, Andri Azmul Fiqri, Muhammad Dul Gunsyang, Grassella Hardina Sandariria Husna Novia Ibrahim, Rizky Nur Ika Purnamasari Ika Purnamasari Imasdiani, Imasdiani indarsih, Indarsih Indriasri Raming Itsar Mangngiri Izzaty Farha Karina Putri Kurniawan Noor Bilal Kusrahman, Nanda Yopan Laila Nur Qamara Latifah Uswatun Khasanah Lestari, Nur Aini Ayu Lisda Ramadhani M. Sabransyah Mahmudi Mahmudi Manggiri, Itsar Martua Tri Januar Sinaga Meiliyani Siringoringo Melati Elvita Memi Nor Hayati Moch Nurul Huda Moh Khoridatul Huda, Moh Khoridatul Moh. Nurul Huda Moh. Nurul Huda, Moh. Nurul Muhammad Faisal Mulyadi, Taqriri Kamal Munfaati, Rafika Husnia Mushalifah, Mushalifah Mustika, Anggi Winda Nadya Rahmawati Nanang Wahyudi Neni Rahayu Nola Febriana Saputri Nur Amah Nur Aminah Nuryatma, Nuryatma Pasarella, Muhammad Danil Pasia Rande Pridiptama, Raka Putra Putra, Fachrian Bimantoro Putri Pita Mutia Putri, Annisa Amalia Putri, Desi Febriani Qonita Qurrota A'yun Qonita Qurrota A’yun Rachel Cornelia Simanjuntak Rachman, Dezty Adhe Chajannah Rachmawati, Amalia Rakhmawaty, Nurul Ramadhanty, Husna Novia Raming, Indriasri Ratna Dwi Christyanti, Ratna Dwi Rito Goejantoro, Rito Sahputra, Dimas Raditya Said Said, Said Sifriyani, Sifriyani Solikhatun, Solikhatun Sri Wahyuni Sri Wahyuningsih Sri Wahyuningsih Sri Wigantono Stefania Sesilia G. Witin Suciati, Rara Syaripuddin Syaripuddin Syaripuddin Syaripuddin Taqriri Kamal Mulyadi Tulzahrah, Shanaz Tumilaar, Rinancy Uha Isnaini Vika Novitasari Wahyujati, Mohamad Fahruli Wasono Wasono Wasono, Wasono Welly Dona Permatasari Wulandari Wulandari Yoki Novia Nasution Yuki Novia Nasution Yuki Novia Nasution Yuki Novia Nasution Yuki Novia Nasution Yuki Novia Nasution, Yuki Novia Yuliasari, Pratiwi Dwi