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Journal : EIGEN MATHEMATICS JOURNAL

Locating Chromatic Number for Rose Graphs and Barbell Operation Sawitri, Riza; Amelia, Lidwina; Asmiati, Asmiati; Nurvazly, Dina Eka
Eigen Mathematics Journal Vol 8 No 2 (2025): December
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v8i2.315

Abstract

The locating chromatic number of a graph is the minimum color required for a locating coloring. This concept is a combination of partition dimension and vertex coloring of a graph. The purpose of this paper is to determine the locating chromatic number of the Rose graph and the barbell Rose graphs. The method used to obtain the locating chromatic number of a graph is by determining its upper and lower bounds. In this paper, the locating chromatic number of the Rose graphs and its barbell operation were obtained. The locating chromatic number of Rose graph ? (??) is 4 for ? ∈ {3, 4} and 5 for ? ≥ 5. Furthermore, for barbell Rose graphs, 4 for ? = 3 and 5 for ? ≥ 4
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 Djahamouw, Julaiha Ernawati Ernawati Eva Meizara Puspita Dewi, Eva Meizara Puspita Fajrian Noor, Muhammad Faradilla, Atika Haninda Bharata Harahap, Parlin Muda Hermawan, Dedi Joko Iccasari, Thirsania Ihwan Ihwan 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 Lumbanraja, Favorisen R Mahfud Mahfud Mammai, Jandri Masneno, Jamila Amir Maviana, Anggryel Muhaimin, Muh. Idul Fauzi Muhammad Iqbal Sultan, Muhammad Iqbal NOER, SALMAN Notiragayu, Notiragayu Nuning Nurcahyani Nur Hamzah Nur Hamzah Nur, Dewi Rakhmatia Nurdiyah Lestari Nurhasanah Nurhasanah Nurjannah Nurjannah 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 Siti Muthmainnah Yusuf Suhadi Suhadi Sulastriani, Sulastriani Supriadi Supriadi SYAHRUL SYAHRUL Tabuni, Delince Taufik Hidayat Tetteng, Basti Uslan Valengsa, Viola Widyanto, Priyo Bagus Yulianti, Amanah