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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

2007, Volume 13, Issue 6

The Theory of Dessins d'Enfants
Graphs on Surfaces and Curves over Number Fields


Preface
G. B. Shabat
3
On planes trees with a prescribed number of valency set realizations
N. M. Adrianov
9
On the generalized Chebyshev polynomials corresponding to plane trees of diameter 4
N. M. Adrianov
19
Catalog of dessins d'enfants with no more than 4 edges
N. M. Adrianov, N. Ya. Amburg, V. A. Dremov, Yu. Yu. Kochetkov, E. M. Kreines, Yu. A. Levitskaya, V. F. Nasretdinova, G. B. Shabat
35
Combinatorics of trivalent ribbon graphs with two faces
I. V. Artamkin
113
Strebel differentials on families of hyperelliptic curves
I. V. Artamkin, Yu. A. Levitskaya, G. B. Shabat
121
Shabat trees of diameter 4: Appendix to a paper of Zvonkin
B. Birch
131
The computation of Belyi pairs of 6-edged dessins d'enfants of genus 3 with automorphism groups of order 12 and 3
B. S. Bychkov, V. A. Dremov, E. M. Epifanov
137
Geometry of plane trees
Yu. Yu. Kochetkov
149
Plane trees with nine edges. Catalog
Yu. Yu. Kochetkov
159
Foliations generated by differentials of Abelian type
Yu. Yu. Kochetkov
197
On trees covering chains or stars
F. B. Pakovich
207
The Chekhov–Fock parametrization of Teichmüller spaces and dessins d'enfants
G. B. Shabat, V. I. Zolotarskaya
217


© Steklov Math. Inst. of RAS, 2025