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Graphs on Surfaces and Curves over Number Fields

	From the Editor G. B. Shabat		3
	Weighted trees with primitive edge rotation groups N. M. Adrianov, A. K. Zvonkin		5
	Computation of the first Stiefel–Whitney class for the variety $\overline{\mathcal M_{0,n}^\mathbb R}$ N. Ya. Amburg, E. M. Kreines		51
	The computation of Belyi pairs of $6$-edged dessins d'enfants of genus $3$ with symmetries of order $2$ B. S. Bychkov, V. A. Dremov, E. M. Epifanov		77
	A differential equation on the cover function of the hexagonal lattice by the trivalent tree K. V. Golubev		91
	The hypergroups of order 3 over a group arising from the dihedral group of order 18 S. H. Dalalyan, P. Zolfaghari		95
	On the Belyi functions of planar circular maps M. A. Deryagina, A. D. Mednykh		111
	Enumeration of weighted plane trees A. K. Zvonkin		135
	On the geometrization of the absolute Galois group A. Kamalinejad		145
	Chebyshev polynomials, Zolotarev polynomials, and plane trees Yu. Yu. Kochetkov		161
	Enumeration of one class of plane weighted trees Yu. Yu. Kochetkov		171
	Rational functions with two critical points of maximum multiplicity D. A. Oganesyan		185
	Unicellular four-edged toric dessins G. B. Shabat		209