Much has been written about the golden ratio $\phi=\frac{1+\sqrt{5}}{2}$ and this strange number appears mysteriously in many mathematical calculations. In this article, we review the appearance of this number in the graph theory. More precisely, we review the relevance of this number in topics such as the number of spanning trees, topological indices, energy, chromatic roots, domination roots and the number of domatic partitions of graphs.
Alikhani, S., & Ghanbari, N. (2024). Golden ratio in graph theory: a survey. Journal of Discrete Mathematics and Its Applications, 9(2), 147-161. doi: 10.22061/jdma.2024.11122.1073
MLA
Saeid Alikhani; Nima Ghanbari. "Golden ratio in graph theory: a survey". Journal of Discrete Mathematics and Its Applications, 9, 2, 2024, 147-161. doi: 10.22061/jdma.2024.11122.1073
HARVARD
Alikhani, S., Ghanbari, N. (2024). 'Golden ratio in graph theory: a survey', Journal of Discrete Mathematics and Its Applications, 9(2), pp. 147-161. doi: 10.22061/jdma.2024.11122.1073
VANCOUVER
Alikhani, S., Ghanbari, N. Golden ratio in graph theory: a survey. Journal of Discrete Mathematics and Its Applications, 2024; 9(2): 147-161. doi: 10.22061/jdma.2024.11122.1073
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