Preface

Chapter
I
Preliminaries

11
Maps

12
Polynomials
on
maps

13
Enufunctions

14
Polysum
functions

15
The
Lagrangian
inversion

16
The
shadow
functional

17
Asymptotic
estimation

18
Notes

Chapter
2
Outerplanar
Maps

21
Plane
trees

22
Wintersweets

23
Unicyclic
maps

24
General
outerplanar
maps

25
Notes

Chapter
3
Triangulations

31
Outerplanar
triangulations

32
Planar
triangulations

33
Triangulations
on
the
disc

34
Triangulations
on
the
projective
i

35
Triangulations
on
the
torus

36
Notes

Chapter
4
Cubic
Maps


41
Planar
cubic
maps

42
Bipartite
cubic
maps

43
Cubic
Hamiltonian
maps

44
Cubic
maps
on
surfaces

45
Notes

Chapter
5
Eulerian
Maps

51
Planar
Eulerian
maps

52
Tutte
formula

53
Planar
Eulerian
triangulations

54
Regular
Eulerian
maps

55
Notes

Chapter
6
Nonseparable
Maps

61
Outerplanar
nonseparable
maps

62
Eulerian
nonseparable
maps

63
Planar
nonseparable
maps

64
Nonseparable
maps
on
the
surfaces

65
Notes

Chapter
7
Simple
Maps



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