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Asmiati Asmiati
Universitas Sriwijaya
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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
Co-Authors Aang Nuryaman Abd Haris Nasution Abdul Kholiq Agus Irawan Agussalim AJ, Andi Agussalim, Amirah Aminaty Akmal Hamsa Amaliah, Fitrih Amelia, Lidwina Amir, Djohar Angraini, Nike Ardano, Lucky Ari Gunawan Atmaja, Dwi Bangun, Artin Sampe Basti Basti Biri, Agus Bua, Janni Toding Bumbungan, Kristin Bungin, Alfrida Damris Muhammad Dewi, Eva Meizarra 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 Irmawati Irmawati Jelin, Jelin Junaid Junaid, Junaid Junaidi Junaidi Kasman, Muh. Ridha Khairul Usman Lilik Mahmudah, Lilik Mammai, Jandri Maviana, Anggryel Muhammad Iqbal Sultan, Muhammad Iqbal Notiragayu, Notiragayu Nuning Nurcahyani Nur Hamzah Nur, Dewi Rakhmatia Nurhasanah Nurhasanah Prihantika, Ita Prinda, Almei Putri, Mega Rezkyta Rachmawati Rachmawati Rahayu Sulistiowati Rasyid, Nurfajriyanti Ricky Firmansyah Sariayu, Indri Sawitri, Riza Serdianus Serdianus Sirait, Irin Irawati Suhadi Suhadi Sulastriani, Sulastriani Supriadi Supriadi Tabuni, Delince Taufik Hidayat Tetteng, Basti Valengsa, Viola Widyanto, Priyo Bagus Yulianti, Amanah