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All Journal Tekno - Pedagogi : Jurnal Teknologi Pendidikan MATEMATIKA Journal of the Indonesian Mathematical Society Indonesian Journal of Disability Studies JIMKesmas (Jurnal Ilmiah Mahasiswa Kesehatan Masyarakat) JURNAL ILMU BUDAYA KAREBA : Jurnal Ilmu Komunikasi Desimal: Jurnal Matematika JTERA (Jurnal Teknologi Rekayasa) JURNAL PENDIDIKAN TAMBUSAI Ensiklopedia of Journal EIGEN MATHEMATICS JOURNAL Jurnal Matematika UNAND Gema Wiralodra InPrime: Indonesian Journal Of Pure And Applied Mathematics PENGABDI: Jurnal Hasil Pengabdian Masyarakat Jurnal Dedikasi Economics, Business and Management Science Journal Buguh: Jurnal Pengabdian Kepada Masyarakat Journal of Research in Social Science and Humanities Indo-MathEdu Intellectuals Journal Innovative: Journal Of Social Science Research In Theos : Jurnal Pendidikan dan Teologi JUMAD Journal Management, Accounting, & Digital Business Journal of Education Sciences (Edusci) Jurnal Pendidikan Dasar dan Keguruan Journal of Intan Nursing Indonesia Bergerak: Jurnal Hasil Kegiatan Pengabdian Masyarakat Edukatif: Jurnal Pengabdian Masyarakat Joong-Ki As-Shiha : Journal of Medical Research
Asmiati Asmiati
Universitas Sriwijaya
Religion Agriculture, Biological Sciences & Forestry Arts Humanities Civil Engineering, Building, Construction & Architecture Computer Science & IT Economics, Econometrics & Finance Education Electrical & Electronics 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 Other

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Journal : InPrime: Indonesian Journal Of Pure And Applied Mathematics

 1 
The Locating Chromatic Number for Amalgamation of Some Complete Graphs Yulianti, Amanah; Asmiati, Asmiati; Hamzah, Nur; Notiragayu, Notiragayu
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol 6, No 1 (2024)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v6i1.38711

Abstract

The locating chromatic number of a graph is a combination of partition dimension and vertex coloring, where every two adjacent vertices are in different color classes, and all vertices have a unique color code. The amalgamation of a ≥ 2 complete graphs (K_n, n≥ 3) denoted by aK_n is obtained by identifying one vertex from each complete graph. In this paper, we present a novel study, a topic that has not been extensively explored in previous research, on locating chromatic numbers for the amalgamation of complete graphs aK_n for 2 ≤ a ≤ 6 and n≥ 3.Keywords: locating chromatic number, partition dimension, vertex coloring, color code, amalgamation of  complete graph. AbstrakBilangan kromatik lokasi graf merupakan penggabungan dari  dimensi partisi  dan pewarnaan titik, yang mana setiap dua titik bertetangga berada dalam kelas warna yang berbeda dan semua titik mempunyai kode warna yang unik. Amalgamasi dari a ≥ 2 buah graf lengkap (K_n, n≥ 3) dinotasikan dengan aK_n  diperoleh dengan cara menyatukan satu titik dari setiap graf lengkap . Pada paper ini didiskusikan hasil yang belum ada sebelumnya, yaitu bilangan kromatik lokasi amalgamasi graf lengkap aK_n untuk 2 ≤ a ≤ 6 dan n≥ 3 .Kata Kunci: bilangan kromatik lokasi, dimensi partisi, pewarnaan titik, kode warna, amalgamasi graf lengkap. 2020MSC: 05C12, 05C15
The Locating Chromatic Number for Amalgamation of Some Complete Graphs Yulianti, Amanah; Asmiati, Asmiati; Hamzah, Nur; Notiragayu, Notiragayu
InPrime: Indonesian Journal of Pure and Applied Mathematics Vol. 6 No. 1 (2024)
Publisher : Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/inprime.v6i1.38711

Abstract

The locating chromatic number of a graph is a combination of partition dimension and vertex coloring, where every two adjacent vertices are in different color classes, and all vertices have a unique color code. The amalgamation of a ≥ 2 complete graphs (K_n, n≥ 3) denoted by aK_n is obtained by identifying one vertex from each complete graph. In this paper, we present a novel study, a topic that has not been extensively explored in previous research, on locating chromatic numbers for the amalgamation of complete graphs aK_n for 2 ≤ a ≤ 6 and n≥ 3.Keywords: locating chromatic number, partition dimension, vertex coloring, color code, amalgamation of  complete graph. AbstrakBilangan kromatik lokasi graf merupakan penggabungan dari  dimensi partisi  dan pewarnaan titik, yang mana setiap dua titik bertetangga berada dalam kelas warna yang berbeda dan semua titik mempunyai kode warna yang unik. Amalgamasi dari a ≥ 2 buah graf lengkap (K_n, n≥ 3) dinotasikan dengan aK_n  diperoleh dengan cara menyatukan satu titik dari setiap graf lengkap . Pada paper ini didiskusikan hasil yang belum ada sebelumnya, yaitu bilangan kromatik lokasi amalgamasi graf lengkap aK_n untuk 2 ≤ a ≤ 6 dan n≥ 3 .Kata Kunci: bilangan kromatik lokasi, dimensi partisi, pewarnaan titik, kode warna, amalgamasi graf lengkap. 2020MSC: 05C12, 05C15
Co-Authors Aang Nuryaman Abd Haris Nasution Abdul Kholiq Abdul Rahmat Agus Irawan Agussalim AJ, Andi Agussalim, Amirah Aminaty Ahmad Razak Akmal Akmal Akmal Hamsa Amalia, Riza Amaliah, Fitrih Amelia, Lidwina Amir, Djohar Angraini, Nike Ardano, Lucky Arfiah, Arfiah Ari Gunawan Atmaja, Dwi Bangun, Artin Sampe Basti Basti Biri, Agus Bua, Janni Toding Bumbungan, Kristin Bungin, Alfrida Damris Muhammad Dewi, Eva Meizarra Puspita Dewi, Eva Puspita Dina Eka Nurvazly, Dina Eka Dio Resta Permana Eva Meizara Puspita Dewi, Eva Meizara Puspita Fajrian Noor, Muhammad Faradilla, Atika Favorisen R. Lumbanraja Haninda Bharata Harahap, Parlin Muda Hermawan, Dedi Joko Iccasari, Thirsania Iis Pusparina INDRAWANI, YOLA Irmawati Irmawati Jelin, Jelin Junaid Junaid, Junaid Junaidi Junaidi Juwita Meldasari Tebisi, Juwita Meldasari Kasman, Muh. Ridha Khairul Usman Lilik Mahmudah, Lilik Lumbanraja, Favirusen Rosyking Mammai, Jandri Maviana, Anggryel Muhaimin, Muh. Idul Fauzi Muhammad Iqbal Sultan, Muhammad Iqbal NOER, SALMAN Notiragayu, Notiragayu Nuning Nurcahyani Nur Hamzah Nur Hamzah Nur, Dewi Rakhmatia Nurhasanah Nurhasanah Panggabean, Benny Leonard Enrico Prihantika, Ita Prinda, Almei Putri, Mega Rezkyta Rachmawati Rachmawati Rahayu Sulistiowati Rasyid, Nurfajriyanti Resekiani Mas Bakar Ricky Firmansyah SANTI, NOVITA Sariayu, Indri Sawitri, Riza Serdianus Serdianus Sirait, Irin Irawati Suhadi Suhadi Sulastriani, Sulastriani Supriadi Supriadi Syahrul Syahrul Tabuni, Delince Taufik Hidayat Tetteng, Basti Valengsa, Viola Widyanto, Priyo Bagus Yulianti, Amanah