THE LOCATING-CHROMATIC NUMBER FOR CERTAIN BARBELL OPERATION ON PIZZA GRAPH AND ITS SUBDIVISION
DOI:
https://doi.org/10.25077/jmua.14.3.293-303.2025Keywords:
locating-chromatic number, barbell operation, pizza graphs, subdivisionAbstract
In graph theory, the locating-chromatic number is a parameter that characterizes the minimum number of colors required to assign to the vertices of a graph such that each vertex can be uniquely identified by its color and the colors of its neighbors. The locating-chromatic number of a graph refers to a concept in graph coloring, which involves assigning colors to the vertices of a graph in such a way that adjacent vertices do not share the same color. It represents the minimum number of colors needed for a proper vertex coloring. This study investigates the locating-chromatic number of certain barbell operation on pizza graphs and its subdivisionsReferences
Asmiati., Irawan, A., Nuryaman, A., Muludi, K., The locating chromatic number for certain operation of origami graph, 2023, Math.Stat, 11:101 – 106
Chartrand, G., Erwin, D., Henning, M.A., Slater, P.J., Zhang, P., The locatingchromatic number of a graph, 2002, Bull. Inst. Comb. Appl, 36:89 – 101
Chartrand, G., Salehi, E., and Zhang, P., 2000, The partition dimension of a graph, Aequationes Math, 55: 45 – 54
Irawan, A., Asmiati., Zakaria, L., Muludi, K., The locating-chromatic number of origami graph, 2021, Algorithms, 14:1 – 15
Johnson, M., Structure-activity maps for visualizing the graph variables arising in drug design, 1993, J. Biopharm. Stat, 3:203 – 236
Mardimar, K.K., Yulianti, L., Welyyanti, D., Bilangan Kromatik Lokasi dari Graf Buckminsterfullerene B60, 2021, J. Math. UNAND, 10:159 – 163
Nabila, S., and Salman, A. N. M., The rainbow connection number of origami graphs and pizza graphs, 2015 Procedia Comput. Sci, 74:162 – 167
Nengsih A, E, R., Welyyanti, D., Efendi., Bilangan Kromatik Lokasi Pada Graf Prisma Berekor, 2019, J. Math. UNAND, 8:56 – 61
Rahimah, E., Yulianti, L., Welyyanti, D., Bilangan Kromatik Lokasi Graf Thorn dari Graf Roda W3, 2018, J. Math. UNAND, 7:1 – 8
Saenpholphat, V., Zhang, P., Conditional resolvability: A survey, 2004, Int. J. Math. Math. Sci, 38:1997 – 2017
Surbakti, N.M., Kartika, D., Nasution, H., and Dewi, S., The locating chromatic number for pizza graphs, 2023 Sainmatika J. Ilm. Mat. dan Ilmu Pengetah. Alam, 20: 126 – 131
Syaumi, Y, D., Narwen., Efendi., Penentuan Bilangan Kromatik Lokasi Graf Prisma Cn,n,n, 2019, J. Math. UNAND, 9:62 – 69
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