| Title:
|
$3$-dimensional Euclidean manifolds represented by locally regular coloured graphs (English) |
| Author:
|
Valverde, Alba |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
99-110 |
| . |
| Category:
|
math |
| . |
| MSC:
|
57M15 |
| MSC:
|
57M50 |
| MSC:
|
57N10 |
| idZBL:
|
Zbl 0958.57016 |
| idMR:
|
MR1476751 |
| . |
| Date available:
|
2009-09-25T11:20:47Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130316 |
| . |
| Reference:
|
[1] BRACHO J.-MONTEJANO L.: The combinatorics of colored triangulations of manifolds.Geom. Dedicata 22 (1987), 303-328. Zbl 0631.57017, MR 0887580 |
| Reference:
|
[2] COSTA A. F.: Locally regular coloured graphs.J. Geom. 43 (1992), 57-74. Zbl 0758.05049, MR 1148257 |
| Reference:
|
[3] COSTA A. F.: Regular Coloured Graphs and 3-Manifolds.Giornate di Topologia e Geometria delle Varieta, Universita di Bologna, Dipartimento di Matematica, Bologna, 1992. Zbl 0767.05047, MR 1196720 |
| Reference:
|
[4] COXETER H. S. M.: Discrete groups generated by reflections.Ann. of Math. (2) 35 (1934), 588-621. Zbl 0010.01101, MR 1503182 |
| Reference:
|
[5] COXETER H. S. M.: Regular Polytopes.(3rd ed.), Dover Publications, Inc.-New York, 1973. MR 0370327 |
| Reference:
|
[6] FERRI M.-GAGLIARDI C.-GRASSELLI L.: A graph theoretical representation of P.L. manifolds. A survey on crystallizations.Aequationes Math. 31 (1986), 121-141. MR 0867510 |
| Reference:
|
[7]
: International Tables for X-Ray Crystallography.New edition: Vol. A (Theo Hahn, ed.), D. Reidel, Dordrecht, 1983. MR 0817988 |
| Reference:
|
[8] JONES G. A.-SINGERMAN D.: Maps, hypermaps and triangle groups.In: The Grothendieck Theory of Dessins d'Enfants (L. Schneps, ed.), London Math. Soc Lecture Note Ser. 200, Cambridge Univ. Press, Cambridge, 1994, pp. 115-145. Zbl 0833.20045, MR 1305395 |
| Reference:
|
[9] SCOTT P.: The geometries of 3-manifolds.Bull. London Math. Soc 15 (1983), 401-487. Zbl 0561.57001, MR 0705527 |
| Reference:
|
[10] VINCE A.: Combinatorial maps.J. Combin. Theory Ser. B 34 (1983), 1-21. Zbl 0514.05032, MR 0701167 |
| Reference:
|
[11] VINCE A.: Regular combinatorial maps.J. Combin. Theory Ser. B 35 (1983), 256-277. Zbl 0514.05032, MR 0735194 |
| Reference:
|
[12] WOLF J. A.: Spaces of Constant Curvature.(5st ed.), Publish or Perish, Inc., New York, 1984. Zbl 0556.53033, MR 0928600 |
| . |
