A COMPUTATIONAL APPROACH TO DETERMINING THE LOCATING-CHROMATIC NUMBER OF PIZZA GRAPHS
DOI:
https://doi.org/10.25077/jmua.15.4.601-610.2026Keywords:
locating-chromatic number, pizza graph, Python programming, computational approachAbstract
This study investigates the locating-chromatic number (L-cn) of the pizza graph Pzs using a computational approach implemented in Python. For s = 3, 4, 5, 6, 7, and 8, the program constructs the corresponding pizza graphs and determines their locating colorings. The computational results show that the locating-chromatic number of all tested pizza graphs is 4. These findings confirm previously reported results for s = 3 and s = 4, while different values are obtained for s = 5, 6, 7, and 8. In addition, the execution time increases significantly as the graph order grows. The results provide computational evidence for the locating-chromatic properties of pizza graphs and motivate further theoretical investigation.
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