Énumération des cartes pointées sue la bouteille de Klein
Didier Arquès; Jean-François Béraud
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1997)
- Volume: 31, Issue: 4, page 385-409
- ISSN: 0988-3754
Access Full Article
top
How to cite
topArquès, Didier, and Béraud, Jean-François. "Énumération des cartes pointées sue la bouteille de Klein." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 31.4 (1997): 385-409. <http://eudml.org/doc/92568>.
@article{Arquès1997,
author = {Arquès, Didier, Béraud, Jean-François},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {enumeration; rooted maps; Klein bottle; orientable surfaces; Tutte equation},
language = {fre},
number = {4},
pages = {385-409},
publisher = {EDP-Sciences},
title = {Énumération des cartes pointées sue la bouteille de Klein},
url = {http://eudml.org/doc/92568},
volume = {31},
year = {1997},
}
TY - JOUR
AU - Arquès, Didier
AU - Béraud, Jean-François
TI - Énumération des cartes pointées sue la bouteille de Klein
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1997
PB - EDP-Sciences
VL - 31
IS - 4
SP - 385
EP - 409
LA - fre
KW - enumeration; rooted maps; Klein bottle; orientable surfaces; Tutte equation
UR - http://eudml.org/doc/92568
ER -
References
top- 1. D. ARQUÈS et A. GIORGETTI, Énumération des cartes pointées sur une surface orientable de genre quelconque en fonction des nombres de sommets et de faces, Rapport de recherche Institut Gaspard Monge, 1997, 97-21, soumis à publication. MR1710529
- 2. D. ARQUÈS, Une relation fonctionnelle nouvelle sur les cartes planaires pointées, J. Combin. Theory, Ser. B, 1985, 39, p. 27-42. Zbl0571.05001MR805455
- 3. D. ARQUÈS, Relations fonctionnelles et dénombrement des cartes pointées sur le tore, J. Combin. Theory, Ser. B, 1987, 43, p. 253-274. Zbl0628.05040MR916371
- 4. E. BENDER et E. CANFIELD, The number of rooted maps on an orientable surface, J. Combin. Theory, Ser. B, 1991, 53, p. 293-299. Zbl0751.05052MR1129556
- 5. E. BENDER et E. CANFIELD, The asymptotic number of rooted maps on a surface, J. Combin. Theory, Ser. A, 1986, 43, p. 244-257. Zbl0606.05031MR867650
- 6. E. BENDER, E. CANFIELD et R. ROBINSON, The enumeration of maps on the torus and the projective plane, Canad. Math. Bull., 1988, 31(3), p. 257-271. Zbl0617.05036MR956356
- 7. E. BENDER, E. CANFIELD et R. ROBINSON, The asymptotic number of tree-rooted maps on a surface, J. Combin. Theory, Ser. A, 1988, 48, p. 156-164. Zbl0644.05027MR949608
- 8. E. BENDER, E. CANFIELD et L. RICHMOND, The asymptotic number of rooted maps on a surface. II. Enumeration by vertices and faces, J. Combin. Theory, Ser. A, 1993, 63, p. 318-329. Zbl0777.05065MR1223687
- 9. E. BENDER, Z. GAO, L. RICHMOND et N. WORMALD, Asymptotic properties of rooted 3-connected maps on surfaces, J. Austral. Math. Soc., 1996, 60, p. 31-41. Zbl0913.05041MR1364552
- 10. W. G. BROWN, On the enumeration of non-planar maps, Mem. Amer. Math. Soc., 1966, 65. Zbl0149.21201MR220628
- 11. R. CORI, Un code pour les graphes planaires et ses applications, Astérisque, S.M.F., 1975, 27. Zbl0313.05115MR404045
- 12. I. P. GOULDEN et D. M. JACKSON, Maps in locally orientable surfaces, the double coset algebra, and zonal polynomials, Canad. J. Math., 1966, 48 (3), p. 569-584. Zbl0861.05062MR1402328
- 13. W. S. MASSEY, Algebraic topology: an introduction, Springer-Verlag, Graduate Texts in Mathematics, 1977, 56. Zbl0361.55002MR448331
- 14. W. T. TUTTE, On the enumeration of planar maps, Bull. Amer. Math. Soc., 1968, 74, p. 64-74. Zbl0157.31101MR218276
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.