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All Journal Science and Technology Indonesia JMPM: Jurnal Matematika dan Pendidikan Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Limits: Journal of Mathematics and Its Applications Jambura Journal of Mathematics Jurnal Hilirisasi IPTEKS (JHI) Eksakta : Berkala Ilmiah Bidang MIPA Indonesian Journal of Combinatorics Jurnal Matematika UNAND Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jurnal Natural Limits: Journal of Mathematics and Its Applications
Yulianti, Lyra
Department Of Mathematics And Data Science, Faculty Of Mathematics And Natural Sciences, Universitas Andalas, Indonesia
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Journal : Science and Technology Indonesia

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The Locating Chromatic Number of the Cyclic Chain Graph Abel, Latifa Azhar; Welyyanti, Des; Yulianti, Lyra; Permana, Dony
Science and Technology Indonesia Vol. 10 No. 3 (2025): July
Publisher : Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/sti.2025.10.3.958-962

Abstract

The locating chromatic number of graph G (χL(G)) combines the idea of the partition dimension and the chromatic number by considering the locations of the vertices of graph G. Let (Cni, m) be a cyclic chain graph, namely a group of blocks in the form of a cycle graph Cn1(1), Cn2(2), ···, Cni(i). The ni is the number of vertices on the i-th cycle, and m is the number of cycles, for ni ≥ 3, 1 ≤ i ≤ m, and m ≥ 2, and the vertex vi,⌈ni/2⌉+1 in Cni(i) is identified with the vertex vi,⌈ni/2⌉+1 in Cni+1(i+1). In this research, we determine χL(Cni, m) for ni ≥ 3, 1 ≤ i ≤ m, and m ≥ 2.
Co-Authors A. Asmiati Abdi Musra Abel, Latifa Azhar ADE NGESTU SULISTIO ADEK HAYATI PUTRI Admi Nazra Aisyah Nurinsani Alifaziz Arsyad Alifaziz Arsyad Alsbaldo, Yuco Angdini Putri F Angryanof, Uthary Putri Auli Mardhaningsih C. Ike Tri Widyastuti DEBI ZULKARNAIN Des Welyyanti Effendi Effendi Effendi Effendi Eka Purwanti Elva Rahimah Fadillah Fadillah Fajri, Muhammad Rafif Fakhri Zikra Fawwaz Fakhrurrozi Hadiputra Fifi Febrianti Fitri - Anggalia Haves Derindo Hazmira Yozza Hidayati Rais Izzati Rahmi HG Kelson Novrianus Lessya Khairannisa Al Azizu KIKI KHAIRA MARDIMAR Laila Hidayati Laila Hidayati M Fauzan Hardi Maharani Damayanti Mardhaningsih, Auli Mardhaningsih, Auli Mardimar, Kiki Khaira Maya Nabila mellany mellany Muhammad Rafif Fajri Muhammad Rafif Fajri MUHAMMAD RANDA Muhardiansyah Muhardiansyah Mutiara Ramadhani Syafnur Nada Andriani Nada Andriani Nadia Nadia Nadia Nadia Nailul Yuni Permataputri Narwen Narwen NINDI MAULA AZIZAH Nurhasanah Nurhasanah Nurinsani, Aisyah Permana, Dony Putri Wulan Sari Risya Hazani Utari RIZKI REFORMAN Robi Nugraha Sayi Shelli Fitrianda Siska - Zayendra Sri Hariyani Suci Yefri Fadillah Suciana Budi Aryani Suhadi Wido Saputro SUTANTO, DASA Syafrizal Sy Syafrizal Sy Syafrizal Sy . Syafwan, Mahdhivan Tika Apriliza ULFA RAHAYU SY Uthary Putri Angryanof Yanita Yanita YANITA YANITA, YANITA Zayendra, Siska - Zayendra, Siska - Zulakmal, Zulakmal ZULKARNAIN, DEBI